---
res:
  bibo_abstract:
  - The advancement of quantum simulators motivates the development of a theoretical
    framework to assist with efficient state preparation in quantum many-body systems.
    Generally, preparing a target entangled state via unitary evolution with time-dependent
    couplings is a challenging task and very little is known about the existence of
    solutions and their properties. In this work we develop a constructive approach
    for preparing matrix product states (MPS) via continuous unitary evolution. We
    provide an explicit construction of the operator that exactly implements the evolution
    of a given MPS along a specified direction in its tangent space. This operator
    can be written as a sum of local terms of finite range, yet it is in general non-Hermitian.
    Relying on the explicit construction of the non-Hermitian generator of the dynamics,
    we demonstrate the existence of a Hermitian sequence of operators that implements
    the desired MPS evolution with an error that decreases exponentially with the
    operator range. The construction is benchmarked on an explicit periodic trajectory
    in a translationally invariant MPS manifold. We demonstrate that the Floquet unitary
    generating the dynamics over one period of the trajectory features an approximate
    MPS-like eigenstate embedded among a sea of thermalizing eigenstates. These results
    show that our construction is not only useful for state preparation and control
    of many-body systems, but also provides a generic route towards Floquet scars—periodically
    driven models with quasilocal generators of dynamics that have exact MPS eigenstates
    in their spectrum.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Marko
      foaf_name: Ljubotina, Marko
      foaf_surname: Ljubotina
      foaf_workInfoHomepage: http://www.librecat.org/personId=F75EE9BE-5C90-11EA-905D-16643DDC885E
    orcid: 0000-0003-0038-7068
  - foaf_Person:
      foaf_givenName: Elena
      foaf_name: Petrova, Elena
      foaf_surname: Petrova
      foaf_workInfoHomepage: http://www.librecat.org/personId=0ac84990-897b-11ed-a09c-f5abb56a4ede
  - foaf_Person:
      foaf_givenName: Norbert
      foaf_name: Schuch, Norbert
      foaf_surname: Schuch
  - foaf_Person:
      foaf_givenName: Maksym
      foaf_name: Serbyn, Maksym
      foaf_surname: Serbyn
      foaf_workInfoHomepage: http://www.librecat.org/personId=47809E7E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-2399-5827
  bibo_doi: 10.1103/prxquantum.5.040311
  bibo_issue: '4'
  bibo_volume: 5
  dct_date: 2024^xs_gYear
  dct_identifier:
  - UT:001346198800001
  dct_isPartOf:
  - http://id.crossref.org/issn/2691-3399
  dct_language: eng
  dct_publisher: American Physical Society@
  dct_title: Tangent space generators of matrix product states and exact floquet quantum
    scars@
...