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Modeling for Non-Markovian Quantum Systems

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Authors

Xue, Shibei
Nguyen, Thien
James, Matthew
Shabani, Alireza
Ugrinovskii, Valery A
Petersen, Ian

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Institute of Electrical and Electronics Engineers (IEEE Inc)

Abstract

This brief presents an augmented Markovian system framework that can be applied to model non-Markovian quantum systems. In this augmented system model, ancillary systems are designed to play the role of internal modes of the non-Markovian environment converting white noise to colored noise. To capture the non-classical mutual influence between a quantum system and non-Markovian environments, direct interactions between a principal system and the ancillary system are introduced. Consequently, we showed that the augmented Markovian formulation can be used to theoretically model the environment for observed non-Markovian behavior in a recent experiment on quantum dots.

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IEEE Transactions on Control Systems Technology

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Restricted until

2099-12-31