Information flow and error scaling for fully quantum control
Year: 2022
Authors: Gherardini S.; Muller M.M.; Montangero S.; Calarco T.; Caruso F.
Autors Affiliation: CNR INO, Area Sci Pk, I-34149 Trieste, Italy; Univ Florence, Dept Phys & Astron, Via G Sansone 1, I-50019 Sesto Fiorentino, Italy; Univ Florence, LENS, Via G Sansone 1, I-50019 Sesto Fiorentino, Italy; Ist Nazl Fis Nucl, Sez Firenze, Via G Sansone 1, I-50019 Sesto Fiorentino, Italy; Forschungszentrum Julich, Peter Grunberg Inst Quantum Control PGI 8, Julich, Germany; Univ Padua, Dipartimento Fis & Astron G Galilei, I-35131 Padua, Italy; Univ Padua, Padua Quantum Technol Res Ctr, Padua, Italy; Ist Nazl Fis Nucl INFN, Sez Padova, I-35131 Padua, Italy; Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany.
Abstract: The optimally designed control of quantum systems is playing an increasingly important role to engineer novel and more efficient quantum technologies. Here, in the scenario represented by controlling an arbitrary quantum system via the interaction with an another optimally initialized auxiliary quantum system, we show that the quantum channel capacity sets the scaling behavior of the optimal control error. Specifically, by fitting the model to numerical data, we verify that the minimum control error is ensured by maximizing the quantum capacity of the channel mapping the initial control state into the target state of the controlled system, i.e., optimizing the quantum information flow from the controller to the system to be controlled. Analytical results, supported by numerical evidences, are provided when the systems and the controller are either qubits or single Bosonic modes.
Journal/Review: PHYSICAL REVIEW RESEARCH
Volume: 4 (2) Pages from: 023027-1 to: 023027-10
More Information: S.G., M.M.M., and F.C. acknowledge funding from the Fondazione CR Firenze through the project Q-BIOSCAN. S.G. and F.C. were financially supported from by the Fondazione CR Firenze through Project QUANTUM-AI, the European Unionīs Horizon 2020 research and innovation programme under FET-OPEN Grant Agreement No. 828946 (PATHOS), and from University of Florence through the project Q-CODYCES. S.G. also acknowledges The Blanceflor Foundation for financial support through the project “The theRmodynamics behInd thE meaSuremenT postulate of quantum mEchanics (TRIESTE).” M.M.M. and T.C. acknowledge funding from the European Unionīs Horizon 2020 research and innovation programme under Grant Agreement No. 817482 (PASQuanS), as well as from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany Excellence Strategy-Cluster of Excellence Matter and Light for Quantum Computing (ML4Q) EXC 2004/1-390534769. S.M. kindly acknowledges support from the Italian PRIN2017 and Fondazione CARIPARO, the Horizon 2020 research and innovation programme under Grant No. 817482 (Quantum Flagship PASQuanS).KeyWords: quantum control, quantum information, quantum channel capacityDOI: 10.1103/PhysRevResearch.4.023027Citations: 4data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-27References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here