Quantum parameter estimation in a spin-boson dephasing quantum system by periodical projective measurements

doi:10.1088/1674-1056/27/4/040601

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 40601-040601.doi: 10.1088/1674-1056/27/4/040601

Quantum parameter estimation in a spin-boson dephasing quantum system by periodical projective measurements

Le Yang(杨乐), Hong-Yi Dai(戴宏毅), Ming Zhang(张明)

1. College of Artificial Intelligence, National University of Defense Technology, Changsha 410073, China;
2. Department of Physics, National University of Defense Technology, Changsha 410073, China;
3. Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, China

收稿日期:2017-11-03 修回日期:2018-01-29 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Le Yang E-mail:kongfuyale@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61673389, 61273202, and 61134008).

Quantum parameter estimation in a spin-boson dephasing quantum system by periodical projective measurements

Le Yang(杨乐)¹, Hong-Yi Dai(戴宏毅)^2,3, Ming Zhang(张明)¹

1. College of Artificial Intelligence, National University of Defense Technology, Changsha 410073, China;
2. Department of Physics, National University of Defense Technology, Changsha 410073, China;
3. Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, China

Received:2017-11-03 Revised:2018-01-29 Online:2018-04-05 Published:2018-04-05
Contact: Le Yang E-mail:kongfuyale@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61673389, 61273202, and 61134008).

摘要/Abstract

摘要： In this paper, we explore how to estimate the phase damping parameter γ and the tunneling amplitude parameter △ from a spin-boson dephasing quantum model by periodical projective measurements. The preparation of initial states is accomplished by performing the period measurements in our scheme. The parameter γ can be always estimated when projective measurement bases are chosen as θ=π/2 and φ=0. Based on the estimated value of γ and the interval information of △, we can select another measurement bases (θ=π/4 and φ=π/2) to obtain the estimated value of △. A coherent control is indispensable to estimate △ if γ is in the interval of △; whereas the control is not necessary if γ is out of the known interval of △. We establish the relation between the optimal period time and the parameter γ or △ in terms of Fisher information. Although the optimal measurement period cannot be selected beforehand, the aforementioned relation can be utilized to adjust the measurement period to approach the optimal one.

关键词: parameter estimation, periodical projective measurement, spin-boson model, dephasing quantum system

Abstract: In this paper, we explore how to estimate the phase damping parameter γ and the tunneling amplitude parameter △ from a spin-boson dephasing quantum model by periodical projective measurements. The preparation of initial states is accomplished by performing the period measurements in our scheme. The parameter γ can be always estimated when projective measurement bases are chosen as θ=π/2 and φ=0. Based on the estimated value of γ and the interval information of △, we can select another measurement bases (θ=π/4 and φ=π/2) to obtain the estimated value of △. A coherent control is indispensable to estimate △ if γ is in the interval of △; whereas the control is not necessary if γ is out of the known interval of △. We establish the relation between the optimal period time and the parameter γ or △ in terms of Fisher information. Although the optimal measurement period cannot be selected beforehand, the aforementioned relation can be utilized to adjust the measurement period to approach the optimal one.

Key words: parameter estimation, periodical projective measurement, spin-boson model, dephasing quantum system

中图分类号: (Metrology)

06.20.-f

03.65.Ta (Foundations of quantum mechanics; measurement theory)

杨乐, 戴宏毅, 张明. Quantum parameter estimation in a spin-boson dephasing quantum system by periodical projective measurements[J]. 中国物理B, 2018, 27(4): 40601-040601.

Le Yang(杨乐), Hong-Yi Dai(戴宏毅), Ming Zhang(张明). Quantum parameter estimation in a spin-boson dephasing quantum system by periodical projective measurements[J]. Chin. Phys. B, 2018, 27(4): 40601-040601.

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Quantum parameter estimation in a spin-boson dephasing quantum system by periodical projective measurements

Quantum parameter estimation in a spin-boson dephasing quantum system by periodical projective measurements

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