@article{21449,
  abstract     = {Three-dimensional (3D) crystals offer a route to scaling up trapped-ion systems for quantum sensing and quantum simulation applications; however, engineering coherent spin-motion couplings and effective spin-spin interactions in large crystals poses technical challenges associated with decoherence and prolonged timescales to generate appreciable entanglement. Here, we explore the possibility of speeding up these interactions in 3D crystals via parametric amplification. For this purpose, we derive a general Hamiltonian for the parametric amplification of spin-motion coupling that is broadly applicable to normal modes with motion transverse to or along the spatial extent of the crystal. Unlike in lower-dimensional crystals, we find that the ability to faithfully (uniformly) amplify the spin-spin interactions in 3D crystals depends on the physical implementation of the spin-motion coupling. We consider the light-shift gate, and the so-called phase-insensitive and phase-sensitive Mølmer-Sørensen (MS) gates, and we find that only the phase-sensitive MS gate can be faithfully amplified in general 3D crystals. We discuss a situation where nonuniform amplification can be advantageous. We also reconsider the effect of counter-rotating terms on parametric amplification and find that they are not as detrimental as previous studies suggest.},
  author       = {Hawaldar, Samarth and Nikhil, N. and Rey, Ana Maria and Bollinger, John J. and Shankar, Athreya},
  issn         = {2331-7019},
  journal      = {Physical Review Applied},
  number       = {3},
  publisher    = {American Physical Society},
  title        = {{Parametric amplification of spin-motion coupling in three-dimensional trapped-ion crystals}},
  doi          = {10.1103/h1m9-h3yw},
  volume       = {25},
  year         = {2026},
}

@article{21747,
  abstract     = {Entanglement does not always require one particle per party. It was predicted some 30 years ago that a single photon traversing a beam splitter could violate a Bell inequality. Although initially debated, single-photon nonlocality was eventually demonstrated via homodyne measurements. Here, we present an alternate realization that avoids the complexity of homodyne measurements and potential loopholes in their implementation. We violate a Bell inequality by performing joint measurements on two copies of the same single-photon entangled state, where one photon acts as a phase reference for the other, making it self-referential. We observe CHSH parameters of 2.71 = 0.09 and 2.23 = 0.07, depending on the joint measurements implemented. This offers a perspective on single-photon nonlocality and a more accessible experimental route, potentially applicable to general mode-entangled states in diverse platforms.},
  author       = {Kun, Daniel and Strömberg, Karl T and Dakić, Borivoje and Walther, Philip and Rozema, Lee A.},
  issn         = {2334-2536},
  journal      = {Optica},
  number       = {4},
  pages        = {745--751},
  publisher    = {Optica Publishing Group},
  title        = {{Testing single-photon entanglement using self-referential measurements}},
  doi          = {10.1364/OPTICA.586172},
  volume       = {13},
  year         = {2026},
}

@phdthesis{20371,
  abstract     = {Quantum mechanics reveals a world that defies classical determinism, where uncertainty, superposition, and fluctuations are fundamental aspects. Engineering devices that harness these quantum features requires not only precision, but also a deep understanding of how they interact with their surrounding environment. Superconducting circuits, which exploit
macroscopic quantum coherence in low-loss superconducting materials, provide a scalable platform for implementing such systems. Among the critical elements in these circuits, superinductors—high-impedance, dissipation-free inductive components—play a central role by suppressing charge fluctuations. They allow quantum states to be delocalized in phase space, protect qubits from environmental noise, and facilitate access to phenomena such as dual Josephson physics and ultra-strong coupling regimes. 
This thesis explores two complementary implementations of high-impedance circuits: geometric superinductors, demonstrating that high impedance can be achieved beyond kinetic inductance,
and Josephson junction chains, used to investigate both microwave mode properties and DC transport across the superconductor-to-insulator transition. 
Part I addresses geometric superinductors. Contrary to the common belief that high-impedance superconducting circuits require kinetic inductance, we demonstrate that purely geometric designs can achieve characteristic impedance exceeding the resistance quantum. By exploiting mutual coupling between adjacent turns, coil-based inductors achieve enhanced self-inductance, creating a reliable platform for qubits and resonators. Modeling, simulation, fabrication, and
characterization confirm that these elements behave as superinductor. With low loss, high linearity, and minimal stray capacitance, these elements are reproducible, free of uncontrolled tunneling events, and capable of strong magnetic coupling. This establishes geometric superinductors as robust, single-wave-function superconducting devices suitable for hardware protected qubits and hybrid systems.
Part II presents classical numerical simulations of a Quantum Phase Slip circuit to study dual Shapiro steps. The circuit consists of an ideal Quantum Phase Slip element embedded in a resistive-inductive environment with a parasitic capacitance.
Part III extends the investigation of high characteristic-impedance circuit elements to one-dimensional Josephson junction chains, which act as a quantum simulator for many-body physics and the superconductor–insulator transition. Different devices are realized on both sides of the DC phase transition, showing either a supercurrent branch or Coulomb blockade at zero bias. The effect of the crossover on microwave modes, however, remains insufficiently investigated. Studying these modes provides insight into the interplay between disorder and phase-slip events. Small differences in circuit component sizes determine which side of the transition a device falls on, making these results relevant not only for fundamental understanding but also for the design of quantum devices, emphasizing the crucial role of the
electromagnetic environment in stabilizing and controlling fragile quantum states. 
Together, these results illustrate how carefully engineered high characteristic-impedance elements provide a link between macroscopic circuits and the inherently uncertain quantum world, enabling experiments that probe, control, and ultimately exploit quantum fluctuations for applications in quantum information, metrology, solid state physics and beyond.

},
  author       = {Trioni, Andrea},
  isbn         = {978-3-99078-067-1},
  issn         = {2663-337X},
  pages        = {202},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{High-impedance quantum circuits for mesoscopic physics : Geometric superinductors and insulating Josephson Chains}},
  doi          = {10.15479/AT-ISTA-20371},
  year         = {2025},
}

@article{19073,
  abstract     = {The rapid development of superconducting quantum hardware is expected to run into substantial restrictions on scalability because error correction in a cryogenic environment has stringent input–output requirements. Classical data centres rely on fibre-optic interconnects to remove similar networking bottlenecks. In the same spirit, ultracold electro-optic links have been proposed and used to generate qubit control signals, or to replace cryogenic readout electronics. So far, these approaches have suffered from either low efficiency, low bandwidth or additional noise. Here we realize radio-over-fibre qubit readout at millikelvin temperatures. We use one device to simultaneously perform upconversion and downconversion between microwave and optical frequencies and so do not require any active or passive cryogenic microwave equipment. We demonstrate all-optical single-shot readout in a circulator-free readout scheme. Importantly, we do not observe any direct radiation impact on the qubit state, despite the absence of shielding elements. This compatibility between superconducting circuits and telecom-wavelength light is not only a prerequisite to establish modular quantum networks, but it is also relevant for multiplexed readout of superconducting photon detectors and classical superconducting logic.},
  author       = {Arnold, Georg M and Werner, Thomas and Sahu, Rishabh and Kapoor, Lucky and Qiu, Liu and Fink, Johannes M},
  issn         = {1745-2481},
  journal      = {Nature Physics},
  publisher    = {Springer Nature},
  title        = {{All-optical superconducting qubit readout}},
  doi          = {10.1038/s41567-024-02741-4},
  volume       = {21},
  year         = {2025},
}

@phdthesis{18871,
  abstract     = {"Can we do this with a new type of computer - a quantum computer?". This famous
quotation of the brilliant Richard Feynman within a conference talk on "Simulating physics
with computers.” is often reverently praised as the origin of the field of quantum computing.
The idea was to use quantum mechanical systems itself to simulate "Nature", which is
inherently quantum mechanical. Now, 43 years later, the theoretical framework of how such
a computer can operate has been developed. Two main important concepts for a potential
quantum supremacy, superposition and entanglement, have been exploited to design quantum
algorithms to significantly speed up certain tasks. Yet, the specific hardware implementation
is still far from being certain, in fact the race between the most promising platforms such as
superconducting qubits, bosonic codes, cold atoms, trapped ions, optical computing as well
as spin qubits has recently intensified. If one also includes the most mature applications of
quantum communication technologies, secure quantum key distribution and quantum random
number generators, as part of a quantum information technology ecosystem, we are confronted
with a plethora of different materials, concepts, and also operation frequencies. While
superconducting qubits, bosonic codes and spin qubits work in the regime of approximately 5
GHz and are controlled by electrical fields, trapped ions, cold atoms, and optical quantum
computing operate with light in the infrared or visible range.
Consequently, a quantum frequency converter or microwave-optic transducer is required
to interface the different frequency domains or establish a long-range network connection
with suitable telecom fibers. In fact, the combination of different frequency regimes is also
an essential part in our classical modern communication network, where computations are
performed in electrical circuits and the information exchange over longer distances happens
via optical fibers. However, the specific challenges specific to building a quantum computer,
also apply to the development of such a quantum frequency transducer: 1) As we deal with
single excitations as the carrier of information, i.e. the smallest possible quantity, the signal
can easily be corrupted by other noise sources which needs to be avoided by all means. This
is also the reason why microwave quantum computers operate at temperature environments
close to zero temperature (< 0.1 Kelvin) to avoid corruption by thermal noise. 2) The
frequency interface generally needs to preserve the phase of the signal as an essential part
of the quantum state. And 3) Quantum signals cannot be copied which would be a typical
strategy to account for errors in classical computers. And finally, there is a challenge specific to
microwave-optic transducers: While quantum computers are operating in one specific frequency
domain, microwave-optic transducers combine microwave and optical fields in one device.
This results in the particular challenge that high-energy optical radiation, which is usually
well-shielded from superconducting microwave quantum processors, are now an essential part
of the device. The concomitant optical radiation in the operating transducer will inevitably
have a detrimental effect on the superconducting microwave components. Together with the
requirement of minimal background noise for quantum-limited operation as described above,
v
heating from the absorption of optical photons within the same device where single microwave
excitations are processed forms a formidable challenge.
This thesis aims to address this challenge by developing microwave-optic transducers where
the impact of optical absorption on superconducting circuits in general and superconducting
qubits specifically can be mitigated. In our first approach, we developed a compact device
with optimized interaction strengths between the different frequency domains. This minimizes
the optical powers used for transducer operation and thus the optical absorption heating. This
work was - to the best of our knowledge - the first comprehensive noise study, in an integrated
microwave-optic transducer. Unfortunately, we saw that the optical absorption heating added
noise way above a single excitation. Consequently, a potential quantum signal would have
been buried in the noise, added by the transduction.
Building on this insight, we utilized a three-dimensional microwave-optic transducer instead
of an integrated device. The larger heat capacity of the macroscopic device with a size
of a few millimeters can absorb a larger fraction of the optical heating before it increases
the temperature of the device. This allowed us to interface the transducer directly with a
superconducting qubit to readout the qubit state in a novel all-optical manner. We showed
that the microwave-optic transducer can be operated in a regime in which optical fields don’t
harm the sensitive qubit. This is an important prerequisite for the operation of microwave-optic
transducers in conjunction with microwave quantum processors and brings the integration and
seamless orchestration of different frequency components in a quantum network a step closer.
},
  author       = {Arnold, Georg M},
  issn         = {2663-337X},
  pages        = {135},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Microwave-optic interconnects for superconducting circuits}},
  doi          = {10.15479/at:ista:18871},
  year         = {2025},
}

@phdthesis{19533,
  abstract     = {This thesis explores advancements in quantum remote sensing and non-equilibrium phase
transitions in the microwave regime, with a focus on dissipative phase transitions and quantumenhanced sensing.
In the first project, I experimentally studied photon blockade breakdown as a dissipative phase
transition in a zero-dimensional cavity-qubit system. By defining an appropriate thermodynamic
limit, we demonstrated that the observed bistability is a genuine signature of a first-order
phase transition in this system. This work provides insight into non-equilibrium quantum
dynamics and phase transitions in driven-dissipative open quantum systems.
The second project focuses on the experimental realization of a phase-conjugate receiver for
quantum illumination (QI), a quantum sensing protocol that enhances target detection in noisy
environments using entangled light. While an ideal spontaneous parametric down-conversion
(SPDC) source and receiver could, in theory, provide up to a 6 dB advantage over classical
illumination, no such ideal receiver exists. Instead, we explore an experimental realization of a
phase-conjugate receiver for QI in the microwave regime at millikelvin temperatures using a
Josephson parametric converter (JPC) as a source of continuous-variable Gaussian entangled
signal-idler pairs, where a maximum 3 dB advantage is theoretically achievable. We investigate
key experimental limitations that constrain practical QI performance, contributing to the
development of quantum-enhanced sensing.
Additionally, this thesis presents efficient digital signal processing (DSP) techniques implemented in C++ and Python in collaboration with Przemysław Zieliński and Luka Drmić. These
methods, optimized using the Intel Integrated Performance Primitives (IPP) library, have been
essential in data acquisition, noise filtering, and correlation analysis across multiple research
projects. Although not real-time, these DSP techniques significantly enhance the accuracy of
quantum measurements.
Overall, this thesis advances quantum-enhanced sensing by establishing the thermodynamic
limit in a single transmon-cavity system and experimentally exploring a phase-conjugate receiver
for QI. These findings contribute to quantum metrology, particularly for weak signal detection
and remote sensing in noisy environments.
},
  author       = {Sett, Riya},
  issn         = {2663-337X},
  keywords     = {phase transition, open quantum system, phase diagram, cavity quantum electrodynamics, superconducting qubits, semiclassical physics, quantum optics, josephson junction, parametric converter, phase conjugation, quantum radar, quantum entanglement, correlation, quantum sensing},
  pages        = {109},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{ Quantum remote sensing and non-equilibrium phase transitions in the microwave regime}},
  doi          = {10.15479/AT-ISTA-19533},
  year         = {2025},
}

@article{19280,
  abstract     = {Recent advancements in superconducting circuits have enabled the experimental study of collective behavior of precisely controlled intermediate-scale ensembles of qubits. In this work, we demonstrate an atomic frequency comb formed by individual artificial atoms strongly coupled to a single resonator mode. We observe periodic microwave pulses that originate from a single coherent excitation dynamically interacting with the multiqubit ensemble. We show that this revival dynamics emerges as a consequence of the constructive and periodic rephasing of the five superconducting qubits forming the vacuum Rabi split comb. In the future, similar devices could be used as a memory with in situ tunable storage time or as an on-chip periodic pulse generator with nonclassical photon statistics.},
  author       = {Redchenko, Elena and Zens, M. and Zemlicka, Martin and Peruzzo, Matilda and Hassani, Farid and Sett, Riya and Zielinski, Przemyslaw D and Dhar, H. S. and Krimer, D. O. and Rotter, S. and Fink, Johannes M},
  issn         = {1079-7114},
  journal      = {Physical Review Letters},
  number       = {6},
  publisher    = {American Physical Society},
  title        = {{Observation of collapse and revival in a superconducting atomic frequency comb}},
  doi          = {10.1103/PhysRevLett.134.063601},
  volume       = {134},
  year         = {2025},
}

@phdthesis{17133,
  abstract     = {An ideal quantum computer relies on qubits capable of performing fast gate operations and
maintaining strong interconnections while preserving their quantum coherence. Since the
inception of experimental eforts toward building a quantum computer, the community has
faced challenges in engineering such a system. Among the various methods of implementing a
quantum computer, superconducting qubits have shown fast gates close to tens of nanoseconds,
with the state-of-the-art reaching a coherence of a few milliseconds. However, achieving
simultaneously long lifetimes with fast qubit operations poses an inherent paradox. Qubits
with high coherence require isolation from the environment, while fast operation necessitates
strong coupling of the qubit. This thesis approaches this issue by proposing the idea of
engineering superconducting qubits capable of transitioning between operating in a protected
regime, where the qubit is completely isolated from the environment, and coupling to the
communication channels as needed. In this direction, we use the geometric superinductor to
scan the parameter space of rf-SQUID devices, searching for a regime where we can take the
qubit protection to its extreme.

This leads us to the inductively shunted transmon (IST) regime, characterized by EJ /EC ≫ 1
and EJ /EL ≫ 1, where the circuit potential exhibits a double well with a large barrier
separating the local ground states of each quantum well. In this regime, although it is
anticipated that the two quantum wells would be isolated from each other, we observe single
fuxon tunneling between them. The interplay of the cavity photons and the fuxon transition
forms a rich physical system, containing resonance conditions that allow the preparation of the
fuxon ground or excited states. This enables us to study the relaxation rate of such transition
and show that it can be as large as 3.6 hours. Dynamically controlling the barrier height
between the two quantum wells allows for controllable coupling, which scales exponentially,
for a qubit encoded in two fuxon states.
The 0-π qubit is one of the very few known superconducting circuit types that ofers exponential
protection from both relaxation and dephasing simultaneously. However, this qubit is not
exempt from the fact that such protection comes at the expense of complex readout and
control. In this thesis, we propose a way to controllably break the circuit symmetry, the
key reason for the protection, to momentarily restore the ability to control and manipulate
the qubit. An asymmetry in capacitances and inductances in the 0-π circuit is detrimental
since they lead to coupling of the protected state to the thermally occupied parasitic mode
of the circuit. However, here we try to exploit a controlled asymmetry in Josephson energies
and show that this can be used as a tunable coupler between the protected states. In the
future, this should allow to perform gate operations by dynamically controlling the asymmetry
instead of driving the protected transition with microwave pulses. Therefore, we believe that
the proposed method can make the use of protected qubits more practical in experimental
realizations of quantum computing.},
  author       = {Hassani, Farid},
  isbn         = {978-3-99078-040-4},
  issn         = {2663-337X},
  keywords     = {Quantum information, Qubits, Superconducting devices},
  pages        = {161},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Superconducting qubits capable of dynamic switching between protected and high-speed control regimes}},
  doi          = {10.15479/at:ista:17133},
  year         = {2024},
}

@article{17183,
  abstract     = {The photon blockade breakdown in a continuously driven cavity QED system has been proposed as a prime example for a first-order driven-dissipative quantum phase transition. However, the predicted scaling from a microscopic behavior—dominated by quantum fluctuations—to a macroscopic one—characterized by stable phases—and the associated exponents and phase diagram have not been observed so far. In this work we couple a single transmon qubit with a fixed coupling strength 𝑔 to a superconducting cavity that is in situ bandwidth 𝜅 tunable to controllably approach this thermodynamic limit. Even though the system remains microscopic, we observe its behavior becoming increasingly macroscopic as a function of 𝑔/𝜅. For the highest realized 𝑔/𝜅 of approximately 287, the system switches with a characteristic timescale as long as 6 s between a bright coherent state with approximately 8×103 intracavity photons and the vacuum state. This exceeds the microscopic timescales by 6 orders of magnitude and approaches the perfect hysteresis expected between two macroscopic attractors in the thermodynamic limit. These findings and interpretation are qualitatively supported by neoclassical theory and large-scale quantum-jump Monte Carlo simulations. Besides shedding more light on driven-dissipative physics in the limit of strong light-matter coupling, this system might also find applications in quantum sensing and metrology.},
  author       = {Sett, Riya and Hassani, Farid and Phan, Duc T and Barzanjeh, Shabir and Vukics, Andras and Fink, Johannes M},
  issn         = {2691-3399},
  journal      = {PRX Quantum},
  number       = {1},
  publisher    = {American Physical Society},
  title        = {{Emergent macroscopic bistability induced by a single superconducting qubit}},
  doi          = {10.1103/prxquantum.5.010327},
  volume       = {5},
  year         = {2024},
}

@article{14517,
  abstract     = {State-of-the-art transmon qubits rely on large capacitors, which systematically improve their coherence due to reduced surface-loss participation. However, this approach increases both the footprint and the parasitic cross-coupling and is ultimately limited by radiation losses—a potential roadblock for scaling up quantum processors to millions of qubits. In this work we present transmon qubits with sizes as low as 36 × 39 µm2 with  100-nm-wide vacuum-gap capacitors that are micromachined from commercial silicon-on-insulator wafers and shadow evaporated with aluminum. We achieve a vacuum participation ratio up to 99.6% in an in-plane design that is compatible with standard coplanar circuits. Qubit relaxationtime measurements for small gaps with high zero-point electric field variance of up to 22 V/m reveal a double exponential decay indicating comparably strong qubit interaction with long-lived two-level systems. The exceptionally high selectivity of up to 20 dB to the superconductor-vacuum interface allows us to precisely back out the sub-single-photon dielectric loss tangent of aluminum oxide previously exposed to ambient conditions. In terms of future scaling potential, we achieve a ratio of qubit quality factor to a footprint area equal to 20 µm−2, which is comparable with the highest T1 devices relying on larger geometries, a value that could improve substantially for lower surface-loss superconductors. },
  author       = {Zemlicka, Martin and Redchenko, Elena and Peruzzo, Matilda and Hassani, Farid and Trioni, Andrea and Barzanjeh, Shabir and Fink, Johannes M},
  issn         = {2331-7019},
  journal      = {Physical Review Applied},
  number       = {4},
  publisher    = {American Physical Society},
  title        = {{Compact vacuum-gap transmon qubits: Selective and sensitive probes for superconductor surface losses}},
  doi          = {10.1103/PhysRevApplied.20.044054},
  volume       = {20},
  year         = {2023},
}

@article{13106,
  abstract     = {Quantum entanglement is a key resource in currently developed quantum technologies. Sharing this fragile property between superconducting microwave circuits and optical or atomic systems would enable new functionalities, but this has been hindered by an energy scale mismatch of >104 and the resulting mutually imposed loss and noise. In this work, we created and verified entanglement between microwave and optical fields in a millikelvin environment. Using an optically pulsed superconducting electro-optical device, we show entanglement between propagating microwave and optical fields in the continuous variable domain. This achievement not only paves the way for entanglement between superconducting circuits and telecom wavelength light, but also has wide-ranging implications for hybrid quantum networks in the context of modularization, scaling, sensing, and cross-platform verification.},
  author       = {Sahu, Rishabh and Qiu, Liu and Hease, William J and Arnold, Georg M and Minoguchi, Y. and Rabl, P. and Fink, Johannes M},
  issn         = {1095-9203},
  journal      = {Science},
  keywords     = {Multidisciplinary},
  number       = {6646},
  pages        = {718--721},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Entangling microwaves with light}},
  doi          = {10.1126/science.adg3812},
  volume       = {380},
  year         = {2023},
}

@article{13227,
  abstract     = {Currently available quantum processors are dominated by noise, which severely limits their applicability and motivates the search for new physical qubit encodings. In this work, we introduce the inductively shunted transmon, a weakly flux-tunable superconducting qubit that offers charge offset protection for all levels and a 20-fold reduction in flux dispersion compared to the state-of-the-art resulting in a constant coherence over a full flux quantum. The parabolic confinement provided by the inductive shunt as well as the linearity of the geometric superinductor facilitates a high-power readout that resolves quantum jumps with a fidelity and QND-ness of >90% and without the need for a Josephson parametric amplifier. Moreover, the device reveals quantum tunneling physics between the two prepared fluxon ground states with a measured average decay time of up to 3.5 h. In the future, fast time-domain control of the transition matrix elements could offer a new path forward to also achieve full qubit control in the decay-protected fluxon basis.},
  author       = {Hassani, Farid and Peruzzo, Matilda and Kapoor, Lucky and Trioni, Andrea and Zemlicka, Martin and Fink, Johannes M},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Springer Nature},
  title        = {{Inductively shunted transmons exhibit noise insensitive plasmon states and a fluxon decay exceeding 3 hours}},
  doi          = {10.1038/s41467-023-39656-2},
  volume       = {14},
  year         = {2023},
}

@phdthesis{13175,
  abstract     = {About a 100 years ago, we discovered that our universe is inherently noisy, that is, measuring any physical quantity with a precision beyond a certain point is not possible because of an omnipresent inherent noise. We call this - the quantum noise. Certain physical processes allow this quantum noise to get correlated in conjugate physical variables. These quantum correlations can be used to go beyond the potential of our inherently noisy universe and obtain a quantum advantage over the classical applications. 

Quantum noise being inherent also means that, at the fundamental level, the physical quantities are not well defined and therefore, objects can stay in multiple states at the same time. For example, the position of a particle not being well defined means that the particle is in multiple positions at the same time. About 4 decades ago, we started exploring the possibility of using objects which can be in multiple states at the same time to increase the dimensionality in computation. Thus, the field of quantum computing was born. We discovered that using quantum entanglement, a property closely related to quantum correlations, can be used to speed up computation of certain problems, such as factorisation of large numbers, faster than any known classical algorithm. Thus began the pursuit to make quantum computers a reality. 

Till date, we have explored quantum control over many physical systems including photons, spins, atoms, ions and even simple circuits made up of superconducting material. However, there persists one ubiquitous theme. The more readily a system interacts with an external field or matter, the more easily we can control it. But this also means that such a system can easily interact with a noisy environment and quickly lose its coherence. Consequently, such systems like electron spins need to be protected from the environment to ensure the longevity of their coherence. Other systems like nuclear spins are naturally protected as they do not interact easily with the environment. But, due to the same reason, it is harder to interact with such systems. 

After decades of experimentation with various systems, we are convinced that no one type of quantum system would be the best for all the quantum applications. We would need hybrid systems which are all interconnected - much like the current internet where all sorts of devices can all talk to each other - but now for quantum devices. A quantum internet. 

Optical photons are the best contenders to carry information for the quantum internet. They can carry quantum information cheaply and without much loss - the same reasons which has made them the backbone of our current internet. Following this direction, many systems, like trapped ions, have already demonstrated successful quantum links over a large distances using optical photons. However, some of the most promising contenders for quantum computing which are based on microwave frequencies have been left behind. This is because high energy optical photons can adversely affect fragile low-energy microwave systems. 

In this thesis, we present substantial progress on this missing quantum link between microwave and optics using electrooptical nonlinearities in lithium niobate. The nonlinearities are enhanced by using resonant cavities for all the involved modes leading to observation of strong direct coupling between optical and microwave frequencies. With this strong coupling we are not only able to achieve almost 100\% internal conversion efficiency with low added noise, thus presenting a quantum-enabled transducer, but also we are able to observe novel effects such as cooling of a microwave mode using optics. The strong coupling regime also leads to direct observation of dynamical backaction effect between microwave and optical frequencies which are studied in detail here. Finally, we also report first observation of microwave-optics entanglement in form of two-mode squeezed vacuum squeezed 0.7dB below vacuum level. 
With this new bridge between microwave and optics, the microwave-based quantum technologies can finally be a part of a quantum network which is based on optical photons - putting us one step closer to a future with quantum internet. },
  author       = {Sahu, Rishabh},
  isbn         = {978-3-99078-030-5},
  issn         = {2663-337X},
  keywords     = {quantum optics, electrooptics, quantum networks, quantum communication, transduction},
  pages        = {202},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Cavity quantum electrooptics}},
  doi          = {10.15479/at:ista:13175},
  year         = {2023},
}

@phdthesis{12900,
  abstract     = {About a 100 years ago, we discovered that our universe is inherently noisy, that is, measuring any physical quantity with a precision beyond a certain point is not possible because of an omnipresent inherent noise. We call this - the quantum noise. Certain physical processes allow this quantum noise to get correlated in conjugate physical variables. These quantum correlations can be used to go beyond the potential of our inherently noisy universe and obtain a quantum advantage over the classical applications. 

Quantum noise being inherent also means that, at the fundamental level, the physical quantities are not well defined and therefore, objects can stay in multiple states at the same time. For example, the position of a particle not being well defined means that the particle is in multiple positions at the same time. About 4 decades ago, we started exploring the possibility of using objects which can be in multiple states at the same time to increase the dimensionality in computation. Thus, the field of quantum computing was born. We discovered that using quantum entanglement, a property closely related to quantum correlations, can be used to speed up computation of certain problems, such as factorisation of large numbers, faster than any known classical algorithm. Thus began the pursuit to make quantum computers a reality. 

Till date, we have explored quantum control over many physical systems including photons, spins, atoms, ions and even simple circuits made up of superconducting material. However, there persists one ubiquitous theme. The more readily a system interacts with an external field or matter, the more easily we can control it. But this also means that such a system can easily interact with a noisy environment and quickly lose its coherence. Consequently, such systems like electron spins need to be protected from the environment to ensure the longevity of their coherence. Other systems like nuclear spins are naturally protected as they do not interact easily with the environment. But, due to the same reason, it is harder to interact with such systems. 

After decades of experimentation with various systems, we are convinced that no one type of quantum system would be the best for all the quantum applications. We would need hybrid systems which are all interconnected - much like the current internet where all sorts of devices can all talk to each other - but now for quantum devices. A quantum internet. 

Optical photons are the best contenders to carry information for the quantum internet. They can carry quantum information cheaply and without much loss - the same reasons which has made them the backbone of our current internet. Following this direction, many systems, like trapped ions, have already demonstrated successful quantum links over a large distances using optical photons. However, some of the most promising contenders for quantum computing which are based on microwave frequencies have been left behind. This is because high energy optical photons can adversely affect fragile low-energy microwave systems. 

In this thesis, we present substantial progress on this missing quantum link between microwave and optics using electrooptical nonlinearities in lithium niobate. The nonlinearities are enhanced by using resonant cavities for all the involved modes leading to observation of strong direct coupling between optical and microwave frequencies. With this strong coupling we are not only able to achieve almost 100\% internal conversion efficiency with low added noise, thus presenting a quantum-enabled transducer, but also we are able to observe novel effects such as cooling of a microwave mode using optics. The strong coupling regime also leads to direct observation of dynamical backaction effect between microwave and optical frequencies which are studied in detail here. Finally, we also report first observation of microwave-optics entanglement in form of two-mode squeezed vacuum squeezed 0.7dB below vacuum level. 
With this new bridge between microwave and optics, the microwave-based quantum technologies can finally be a part of a quantum network which is based on optical photons - putting us one step closer to a future with quantum internet. },
  author       = {Sahu, Rishabh},
  isbn         = {978-3-99078-030-5},
  issn         = {2663-337X},
  keywords     = {quantum optics, electrooptics, quantum networks, quantum communication, transduction},
  pages        = {190},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Cavity quantum electrooptics}},
  doi          = {10.15479/at:ista:12900},
  year         = {2023},
}

@article{13200,
  abstract     = {Recent quantum technologies have established precise quantum control of various microscopic systems using electromagnetic waves. Interfaces based on cryogenic cavity electro-optic systems are particularly promising, due to the direct interaction between microwave and optical fields in the quantum regime. Quantum optical control of superconducting microwave circuits has been precluded so far due to the weak electro-optical coupling as well as quasi-particles induced by the pump laser. Here we report the coherent control of a superconducting microwave cavity using laser pulses in a multimode electro-optical device at millikelvin temperature with near-unity cooperativity. Both the stationary and instantaneous responses of the microwave and optical modes comply with the coherent electro-optical interaction, and reveal only minuscule amount of excess back-action with an unanticipated time delay. Our demonstration enables wide ranges of applications beyond quantum transductions, from squeezing and quantum non-demolition measurements of microwave fields, to entanglement generation and hybrid quantum networks.},
  author       = {Qiu, Liu and Sahu, Rishabh and Hease, William J and Arnold, Georg M and Fink, Johannes M},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Nature Research},
  title        = {{Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action}},
  doi          = {10.1038/s41467-023-39493-3},
  volume       = {14},
  year         = {2023},
}

@unpublished{18953,
  abstract     = {The rapid development of superconducting quantum hardware is expected to run into significant I/O restrictions due to the need for large-scale error correction in a cryogenic environment. Classical data centers rely on fiber-optic interconnects to remove similar networking bottlenecks and to allow for reconfigurable, software-defined infrastructures. In the same spirit, ultra-cold electro-optic links have been proposed and used to generate qubit control signals, or to replace cryogenic readout electronics. So far, the latter suffered from either low efficiency, low bandwidth and the need for additional microwave drives, or breaking of Cooper pairs and qubit states. In this work we realize electro-optic microwave photonics at millikelvin temperatures to implement a radio-over-fiber qubit readout that does not require any active or passive cryogenic microwave equipment. We demonstrate all-optical single-shot-readout by means of the Jaynes-Cummings nonlinearity in a circulator-free readout scheme. Importantly, we do not observe any direct radiation impact on the qubit state as verified with high-fidelity quantum-non-demolition measurements despite the absence of shielding elements. This compatibility between superconducting circuits and telecom wavelength light is not only a prerequisite to establish modular quantum networks, it is also relevant for multiplexed readout of superconducting photon detectors and classical superconducting logic. Moreover, this experiment showcases the potential of electro-optic radiometry in harsh environments - an electronics-free sensing principle that extends into the THz regime with applications in radio astronomy, planetary missions and earth observation.},
  author       = {Arnold, Georg M and Werner, Thomas and Sahu, Rishabh and Kapoor, Lucky and Qiu, Liu and Fink, Johannes M},
  booktitle    = {arXiv},
  title        = {{All-optical single-shot readout of a superconducting qubit}},
  doi          = {10.48550/ARXIV.2310.16817},
  year         = {2023},
}

@article{13117,
  abstract     = {The ability to control the direction of scattered light is crucial to provide flexibility and scalability for a wide range of on-chip applications, such as integrated photonics, quantum information processing, and nonlinear optics. Tunable directionality can be achieved by applying external magnetic fields that modify optical selection rules, by using nonlinear effects, or interactions with vibrations. However, these approaches are less suitable to control microwave photon propagation inside integrated superconducting quantum devices. Here, we demonstrate on-demand tunable directional scattering based on two periodically modulated transmon qubits coupled to a transmission line at a fixed distance. By changing the relative phase between the modulation tones, we realize unidirectional forward or backward photon scattering. Such an in-situ switchable mirror represents a versatile tool for intra- and inter-chip microwave photonic processors. In the future, a lattice of qubits can be used to realize topological circuits that exhibit strong nonreciprocity or chirality.},
  author       = {Redchenko, Elena and Poshakinskiy, Alexander V. and Sett, Riya and Zemlicka, Martin and Poddubny, Alexander N. and Fink, Johannes M},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Springer Nature},
  title        = {{Tunable directional photon scattering from a pair of superconducting qubits}},
  doi          = {10.1038/s41467-023-38761-6},
  volume       = {14},
  year         = {2023},
}

@article{10924,
  abstract     = {Solid-state microwave systems offer strong interactions for fast quantum logic and sensing but photons at telecom wavelength are the ideal choice for high-density low-loss quantum interconnects. A general-purpose interface that can make use of single photon effects requires < 1 input noise quanta, which has remained elusive due to either low efficiency or pump induced heating. Here we demonstrate coherent electro-optic modulation on nanosecond-timescales with only 0.16+0.02−0.01 microwave input noise photons with a total bidirectional transduction efficiency of 8.7% (or up to 15% with 0.41+0.02−0.02), as required for near-term heralded quantum network protocols. The use of short and high-power optical pump pulses also enables near-unity cooperativity of the electro-optic interaction leading to an internal pure conversion efficiency of up to 99.5%. Together with the low mode occupancy this provides evidence for electro-optic laser cooling and vacuum amplification as predicted a decade ago.},
  author       = {Sahu, Rishabh and Hease, William J and Rueda Sanchez, Alfredo R and Arnold, Georg M and Qiu, Liu and Fink, Johannes M},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Springer Nature},
  title        = {{Quantum-enabled operation of a microwave-optical interface}},
  doi          = {10.1038/s41467-022-28924-2},
  volume       = {13},
  year         = {2022},
}

@article{9928,
  abstract     = {There are two elementary superconducting qubit types that derive directly from the quantum harmonic oscillator. In one, the inductor is replaced by a nonlinear Josephson junction to realize the widely used charge qubits with a compact phase variable and a discrete charge wave function. In the other, the junction is added in parallel, which gives rise to an extended phase variable, continuous wave functions, and a rich energy-level structure due to the loop topology. While the corresponding rf superconducting quantum interference device Hamiltonian was introduced as a quadratic quasi-one-dimensional potential approximation to describe the fluxonium qubit implemented with long Josephson-junction arrays, in this work we implement it directly using a linear superinductor formed by a single uninterrupted aluminum wire. We present a large variety of qubits, all stemming from the same circuit but with drastically different characteristic energy scales. This includes flux and fluxonium qubits but also the recently introduced quasicharge qubit with strongly enhanced zero-point phase fluctuations and a heavily suppressed flux dispersion. The use of a geometric inductor results in high reproducibility of the inductive energy as guaranteed by top-down lithography—a key ingredient for intrinsically protected superconducting qubits.},
  author       = {Peruzzo, Matilda and Hassani, Farid and Szep, Gregory and Trioni, Andrea and Redchenko, Elena and Zemlicka, Martin and Fink, Johannes M},
  issn         = {2691-3399},
  journal      = {PRX Quantum},
  keywords     = {quantum physics, mesoscale and nanoscale physics},
  number       = {4},
  pages        = {040341},
  publisher    = {American Physical Society},
  title        = {{Geometric superinductance qubits: Controlling phase delocalization across a single Josephson junction}},
  doi          = {10.1103/PRXQuantum.2.040341},
  volume       = {2},
  year         = {2021},
}

@article{8038,
  abstract     = {Microelectromechanical systems and integrated photonics provide the basis for many reliable and compact circuit elements in modern communication systems. Electro-opto-mechanical devices are currently one of the leading approaches to realize ultra-sensitive, low-loss transducers for an emerging quantum information technology. Here we present an on-chip microwave frequency converter based on a planar aluminum on silicon nitride platform that is compatible with slot-mode coupled photonic crystal cavities. We show efficient frequency conversion between two propagating microwave modes mediated by the radiation pressure interaction with a metalized dielectric nanobeam oscillator. We achieve bidirectional coherent conversion with a total device efficiency of up to ~60%, a dynamic range of 2 × 10^9 photons/s and an instantaneous bandwidth of up to 1.7 kHz. A high fidelity quantum state transfer would be possible if the drive dependent output noise of currently ~14 photons s^−1 Hz^−1 is further reduced. Such a silicon nitride based transducer is in situ reconfigurable and could be used for on-chip classical and quantum signal routing and filtering, both for microwave and hybrid microwave-optical applications.},
  author       = {Fink, Johannes M and Kalaee, M. and Norte, R. and Pitanti, A. and Painter, O.},
  issn         = {2058-9565},
  journal      = {Quantum Science and Technology},
  number       = {3},
  publisher    = {IOP Publishing},
  title        = {{Efficient microwave frequency conversion mediated by a photonics compatible silicon nitride nanobeam oscillator}},
  doi          = {10.1088/2058-9565/ab8dce},
  volume       = {5},
  year         = {2020},
}

