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Quantum speed limit for a mixed initial state

2018/10/04 by Shao-xiong Wu, Chang-shui Yu · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.98.042132

published as Phys. Rev. A 98, 042132 (2018) · Accepted by Physical Review A

arxiv created 2018/10/04 · arxiv updated 2018/10/31

Abstract

A unified bound on the quantum speed limit is obtained for open quantum systems with the mixed initial state by utilizing the function of relative purity proposed in [Phys. Rev. Lett. 120, 060409 (2018)]. As applications, it is found that the quantum speed limit bound for the damped Jaynes-Cumming model is determined by the competition among the non-Markovianity, the population of initial excited state and the initial-state coherence, which shows that the population of initial excited state and the coherence of initial state can sharp the quantum speed limit despite that the non-Markovian effects can accelerate the evolution of open quantum system. For the dephasing model, a simple factorization law with the initial-state coherence shows that the quantum speed limit is only governed by the competition between the non-Markovianity and the coherence of the initial state.

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