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 Science Park, Basovizza, Trieste, I-34149, Italy; Department of Physics and Astronomy & Lens, University of Florence, via G. Sansone 1, Sesto Fiorentino, I-50019, Italy; INFN, Sezione di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy; Peter Gr

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.


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 Union´s 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 Union´s 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 capacity
DOI: 10.1103/PhysRevResearch.4.023027