{"department":[{"_id":"MaSe"},{"_id":"RoSe"}],"oa_version":"Published Version","date_published":"2022-09-23T00:00:00Z","oa":1,"abstract":[{"lang":"eng","text":"Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of nontrivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states (MPSs). We compare counterdiabatic and leakage minimization approaches to the so-called local steering problem that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counterdiabatic framework and use it to construct a Floquet model with quantum scars. We perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model. Finally, we apply our leakage minimization approach to construct quantum scars in the periodically driven nonintegrable Ising model."}],"ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","article_type":"original","publisher":"American Physical Society","file":[{"content_type":"application/pdf","relation":"main_file","file_name":"2022_PRXQuantum_Ljubotina.pdf","checksum":"ef8f0a1b5a019b3958009162de0fa4c3","creator":"dernst","date_created":"2023-01-30T11:02:50Z","file_size":7661905,"date_updated":"2023-01-30T11:02:50Z","access_level":"open_access","success":1,"file_id":"12457"}],"article_number":"030343","day":"23","issue":"3","intvolume":"         3","project":[{"grant_number":"850899","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","call_identifier":"H2020"}],"date_created":"2023-01-16T10:01:56Z","language":[{"iso":"eng"}],"file_date_updated":"2023-01-30T11:02:50Z","publication_identifier":{"eissn":["2691-3399"]},"article_processing_charge":"No","title":"Optimal steering of matrix product states and quantum many-body scars","acknowledgement":"We thank A. A. Michailidis for insightful discussions. M.L. and M.S. acknowledge support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899). D.A. is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and by the Swiss National Science Foundation. The infinite TEBD simulations were performed using the ITensor library [67].","status":"public","publication_status":"published","publication":"PRX Quantum","month":"09","citation":{"mla":"Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>, vol. 3, no. 3, 030343, American Physical Society, 2022, doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>.","ista":"Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 3(3), 030343.","ieee":"M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix product states and quantum many-body scars,” <i>PRX Quantum</i>, vol. 3, no. 3. American Physical Society, 2022.","short":"M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).","chicago":"Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>. American Physical Society, 2022. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>.","ama":"Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. 2022;3(3). doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>","apa":"Ljubotina, M., Roos, B., Abanin, D. A., &#38; Serbyn, M. (2022). Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. American Physical Society. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>"},"volume":3,"ddc":["530"],"keyword":["General Medicine"],"scopus_import":"1","year":"2022","_id":"12276","quality_controlled":"1","doi":"10.1103/prxquantum.3.030343","date_updated":"2023-01-30T11:05:23Z","has_accepted_license":"1","external_id":{"arxiv":["2204.02899"]},"author":[{"last_name":"Ljubotina","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","first_name":"Marko","full_name":"Ljubotina, Marko"},{"full_name":"Roos, Barbara","last_name":"Roos","orcid":"0000-0002-9071-5880","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","first_name":"Barbara"},{"full_name":"Abanin, Dmitry A.","first_name":"Dmitry A.","last_name":"Abanin"},{"orcid":"0000-0002-2399-5827","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn","first_name":"Maksym","full_name":"Serbyn, Maksym"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}