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Open Quantum Systems Decoherence

Optimal identification of non-Markovian environments for spin chains

arXiv
Authors: Shibei Xue, Jun Zhang, Ian R. Petersen

Year

2018

Paper ID

23754

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

Correlations of an environment are crucial for the dynamics of non-Markovian quantum systems, which may not be known in advance. In this paper, we propose a gradient algorithm for identifying the correlations in terms of time-varying damping rate functions in a time-convolution-less master equation for spin chains. By measuring time trace observables of the system, the identification procedure can be formulated as an optimization problem. The gradient algorithm is designed based on a calculation of the derivative of an objective function with respect to the damping rate functions, whose effectiveness is shown in a comparison to a differential approach for a two-qubit spin chain.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • Correlations of an environment are crucial for the dynamics of non-Markovian quantum systems, which may not be known in advance.

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