Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence

doi:10.1088/1674-1056/26/1/010601

中国物理B ›› 2017, Vol. 26 ›› Issue (1): 10601-010601.doi: 10.1088/1674-1056/26/1/010601

Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence

Hong-ying Yang(杨洪应), Qiang Zheng(郑强), Qi-jun Zhi(支启军)

1. School of Physics and Electronics, Guizhou Normal University, Guiyang 550001, China;
2. School of Mathematics, Guizhou Normal University, Guiyang 550001, China

收稿日期:2016-01-11 修回日期:2016-09-19 出版日期:2017-01-05 发布日期:2017-01-05
通讯作者: Qiang Zheng, Qi-jun Zhi E-mail:qz@csrc.ac.cn;qjzhi@gznu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11365006 and 11565010), Guizhou Province Science and Technology Innovation Talent Team, China (Grant No. (2015)4015), Innovation Team Foundation of the Education Department of Guizhou Province, China (Grant No.[2014]35), the Natural Science Foundation of Guizhou Province, China (Grant No. QKHLHZ[2015]7767), and High Level Creative Talents, China (Grant No. (2016)-4008).

Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence

Hong-ying Yang(杨洪应)¹, Qiang Zheng(郑强)², Qi-jun Zhi(支启军)¹

1. School of Physics and Electronics, Guizhou Normal University, Guiyang 550001, China;
2. School of Mathematics, Guizhou Normal University, Guiyang 550001, China

Received:2016-01-11 Revised:2016-09-19 Online:2017-01-05 Published:2017-01-05
Contact: Qiang Zheng, Qi-jun Zhi E-mail:qz@csrc.ac.cn;qjzhi@gznu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11365006 and 11565010), Guizhou Province Science and Technology Innovation Talent Team, China (Grant No. (2015)4015), Innovation Team Foundation of the Education Department of Guizhou Province, China (Grant No.[2014]35), the Natural Science Foundation of Guizhou Province, China (Grant No. QKHLHZ[2015]7767), and High Level Creative Talents, China (Grant No. (2016)-4008).

摘要/Abstract

摘要： Adopting the Milburn decoherence model, we investigate the performance of quantum Fisher information of the two-qutrit isotropic Heisenberg XY chain under decoherence. We find that the quantum Fisher information with respect to the decoherence rate and the magnetic field decreases exponentially in the long-time limit, which significantly reduces the precision of optimal quantum estimation. We also show that with the increase of the decoherence rate or the magnetic field, the QFIs go down considerably. Furthermore, we find that the precision of optimal quantum estimation can be enhanced by the entanglement in the input state.

关键词: intrinsic decoherence, quantum Fisher information, spin chain

Abstract: Adopting the Milburn decoherence model, we investigate the performance of quantum Fisher information of the two-qutrit isotropic Heisenberg XY chain under decoherence. We find that the quantum Fisher information with respect to the decoherence rate and the magnetic field decreases exponentially in the long-time limit, which significantly reduces the precision of optimal quantum estimation. We also show that with the increase of the decoherence rate or the magnetic field, the QFIs go down considerably. Furthermore, we find that the precision of optimal quantum estimation can be enhanced by the entanglement in the input state.

Key words: intrinsic decoherence, quantum Fisher information, spin chain

中图分类号: (Metrology)

06.20.-f

03.65.Yz (Decoherence; open systems; quantum statistical methods) 42.50.Dv (Quantum state engineering and measurements)

杨洪应, 郑强, 支启军. Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence[J]. 中国物理B, 2017, 26(1): 10601-010601.

Hong-ying Yang(杨洪应), Qiang Zheng(郑强), Qi-jun Zhi(支启军). Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence[J]. Chin. Phys. B, 2017, 26(1): 10601-010601.

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Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence

Optimal quantum parameter estimation of two-qutrit Heisenberg XY chain under decoherence

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