Optimal identification of non-Markovian environments for spin chains
arXiv:1810.11923 · doi:10.1109/TCST.2018.2879042
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.
arXiv comment6 pages, 4 figures, accepted by IEEE Trans. on Control Systems Technology
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Cited by in corpus (4)
- Modelling and Filtering for Non-Markovian Quantum Systems
- A gradient algorithm for Hamiltonian identification of open quantum systems
- Quantum Hamiltonian Identification with Classical Colored Measurement Noise
- An inverse-system method for identification of damping rate functions in non-Markovian quantum systems