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Open Quantum Systems Decoherence

Stochastic optimal control formalism for an open quantum system

arXiv
Authors: Chungwei Lin, Dries Sels, Yanting Ma, Yebin Wang

Year

2020

Paper ID

19511

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

A stochastic procedure is developed which allows one to express Pontryagin's maximum principle for dissipative quantum system solely in terms of stochastic wave functions. Time-optimal controls can be efficiently computed without computing the density matrix. Specifically, the proper dynamical update rules are presented for the stochastic costate variables introduced by Pontryagin's maximum principle and restrictions on the form of the terminal cost function are discussed. The proposed procedure is confirmed by comparing the results to those obtained from optimal control on Lindbladian dynamics. Numerically, the proposed formalism becomes time and memory efficient for large systems, and it can be generalized to describe non-Markovian dynamics.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • A stochastic procedure is developed which allows one to express Pontryagin's maximum principle for dissipative quantum system solely in terms of stochastic wave functions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.03438 [2] arXiv https://arxiv.org/abs/2011.03438 [3] Publisher https://arxiv.org/abs/2011.03438

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