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Quantum speed limit time in the presence of disturbance

2019/04/25 by Soroush Haseli, Haseli, S., S. Salimi +5
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.1904.11233

openalex publication_date 2019/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quantum theory sets a bound on the minimal time evolution between initial and target states. This bound is called as quantum speed limit time. It is used to quantify maximal speed of quantum evolution. The quantum evolution will be faster, if quantum speed limit time decreases. In this work, we study the quantum speed limit time of a quantum state in the presence of disturbance effects in an environment. We use the model which is provided by Masashi Ban in \hrefhttps://doi.org/10.1103/PhysRevA.99.012116Phys. Rev. A 99, 012116 (2019). In this model two quantum systems A and S interact with environment sequentially. At first, quantum system A interacts with the environment E as an auxiliary system then quantum system S interacts with disturbed environment immediately. In this work, we consider dephasing coupling with two types of environment with different spectral density: Ohmic and Lorentzian. We observe that, non-Markovian effects will be appear in the dynamics of quantum system S by the interaction of quantum system A with the environment. Given the fact that quantum speed limit time reduces due to non-Markovian effects, we show that disturbance effects will reduce the quantum speed limit time.

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