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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 |
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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.
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Received: 03 November 2017
Revised: 29 January 2018
Accepted manuscript online:
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PACS:
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06.20.-f
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(Metrology)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61673389, 61273202, and 61134008). |
Corresponding Authors:
Le Yang
E-mail: kongfuyale@126.com
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Cite this article:
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 2018 Chin. Phys. B 27 040601
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