Preprint

FZJ-2021-06215

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels

Müller, M. (Corresponding author)FZJ* ; Gherardini, S. ; Calarco, T.FZJ* ; Montangero, S. ; Caruso, F.

2020

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Please use a persistent id in citations: http://hdl.handle.net/2128/30733

Abstract: Accurate manipulations of an open quantum system require a deep knowledge of its controllability properties and the information content of the implemented control fields. By using tools of information and quantum optimal control theory, we provide analytical bounds (information-time bounds) to characterize our capability to control the system when subject to arbitrary sources of noise. Moreover, since the presence of an external noise field induces an open quantum system dynamics, we also show that the results provided by the information-time bounds are in perfect agreement with the Kofman-Kurizki universal formula describing decoherence processes. Finally, we numerically test the universal scaling of the control accuracy as a function of the noise parameters, by using the dressed chopped random basis (dCRAB) algorithm for quantum optimal control.

Note: Open quantum systems, Quantum optimal control, Channel capacities, Quantum speed limit, decoherence. This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible

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Contributing Institute(s):

1. Quantum Control (PGI-8)

Research Program(s):

1. 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) (POF4-522)

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