Quantum speed limits for Bell-diagonal states

doi:10.1088/1674-1056/24/12/120304

中国物理B ›› 2015, Vol. 24 ›› Issue (12): 120304-120304.doi: 10.1088/1674-1056/24/12/120304

Quantum speed limits for Bell-diagonal states

韩伟^a, 江克侠^{b c}, 张英杰^a, 夏云杰^a

a Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China;
b Department of Physics, Engineering University of CAPF, Xi'an 710086, China;
c Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2015-07-09 修回日期:2015-08-25 出版日期:2015-12-05 发布日期:2015-12-05
通讯作者: Zhang Ying-Jie E-mail:yingjiezhang@mail.qfnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61178012 and 11304179), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant Nos. 20123705120002 and 20133705110001), the Natural Science Foundation of Shandong Province of China (Grant No. ZR2014AP009), and the Scientific Research Foundation of Qufu Normal University.

Quantum speed limits for Bell-diagonal states

Han Wei (韩伟)^a, Jiang Ke-Xia (江克侠)^{b c}, Zhang Ying-Jie (张英杰)^a, Xia Yun-Jie (夏云杰)^a

a Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China;
b Department of Physics, Engineering University of CAPF, Xi'an 710086, China;
c Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

Received:2015-07-09 Revised:2015-08-25 Online:2015-12-05 Published:2015-12-05
Contact: Zhang Ying-Jie E-mail:yingjiezhang@mail.qfnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61178012 and 11304179), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant Nos. 20123705120002 and 20133705110001), the Natural Science Foundation of Shandong Province of China (Grant No. ZR2014AP009), and the Scientific Research Foundation of Qufu Normal University.

摘要/Abstract

摘要： The lower bounds of the evolution time between two distinguishable states of a system, defined as quantum speed limit time, can characterize the maximal speed of quantum computers and communication channels. We study the quantum speed limit time between the composite quantum states and their target states in the presence of nondissipative decoherence. For the initial states with maximally mixed marginals, we obtain the exact expressions of the quantum speed limit time which mainly depend on the parameters of the initial states and the decoherence channels. Furthermore, by calculating the quantum speed limit time for the time-dependent states started from a class of initial states, we discover that the quantum speed limit time gradually decreases in time, and the decay rate of the quantum speed limit time would show a sudden change at a certain critical time. Interestingly, at the same critical time, the composite system dynamics would exhibit a sudden transition from classical decoherence to quantum decoherence.

关键词: quantum information, quantum decoherence, quantum speed limit time

Abstract: The lower bounds of the evolution time between two distinguishable states of a system, defined as quantum speed limit time, can characterize the maximal speed of quantum computers and communication channels. We study the quantum speed limit time between the composite quantum states and their target states in the presence of nondissipative decoherence. For the initial states with maximally mixed marginals, we obtain the exact expressions of the quantum speed limit time which mainly depend on the parameters of the initial states and the decoherence channels. Furthermore, by calculating the quantum speed limit time for the time-dependent states started from a class of initial states, we discover that the quantum speed limit time gradually decreases in time, and the decay rate of the quantum speed limit time would show a sudden change at a certain critical time. Interestingly, at the same critical time, the composite system dynamics would exhibit a sudden transition from classical decoherence to quantum decoherence.

Key words: quantum information, quantum decoherence, quantum speed limit time

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

03.67.Lx (Quantum computation architectures and implementations) 42.50.-p (Quantum optics)

韩伟, 江克侠, 张英杰, 夏云杰. Quantum speed limits for Bell-diagonal states[J]. 中国物理B, 2015, 24(12): 120304-120304.

Han Wei (韩伟), Jiang Ke-Xia (江克侠), Zhang Ying-Jie (张英杰), Xia Yun-Jie (夏云杰). Quantum speed limits for Bell-diagonal states[J]. Chin. Phys. B, 2015, 24(12): 120304-120304.

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Quantum speed limits for Bell-diagonal states

Quantum speed limits for Bell-diagonal states

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