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

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

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.

Keywords: intrinsic decoherence quantum Fisher information spin chain

Received: 11 January 2016
Revised: 19 September 2016
Accepted manuscript online:

PACS:	06.20.-f	(Metrology)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	42.50.Dv	(Quantum state engineering and measurements)

Fund: 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).

Corresponding Authors: Qiang Zheng, Qi-jun Zhi
E-mail: qz@csrc.ac.cn;qjzhi@gznu.edu.cn

Cite this article:

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 2017 Chin. Phys. B 26 010601

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

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