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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 |
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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.
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Received: 11 January 2016
Revised: 19 September 2016
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.Yz
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(Decoherence; open systems; quantum statistical methods)
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42.50.Dv
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(Quantum state engineering and measurements)
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| 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
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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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| [1] |
Giovanetti V, Lloyd S and Maccone L 2004 Science 306 1330
|
| [2] |
Giovannetti V, Lloyd S and Maccone L 2011 Nat. Photon. 5 222
|
| [3] |
Zhang Y M, Li X W, Yang W and Jin G R 2013 Phys. Rev. A 88 043832
|
| [4] |
Demkowicz D R, Kolodynski J and Guta M 2012 Nat.Commun. 3 1063
|
| [5] |
Lu X M, Wang X G and Sun C P 2010 Phys. Rev. A 82 042103
|
| [6] |
Strobel H, Muessel W, Linnemann D, Zibold T, Hume D B, Pezze L, Smerzi A and Oberthaler M K 2014 Science 345 424
|
| [7] |
Zheng Q, Yao Y and Li Y 2014 Eur. Phys. J. D 68 170
|
| [8] |
Yue J D, Zhang Y R and Fan H 2014 Sci. Rep. 4 5933
|
| [9] |
Chang F, Wang X Q, Gai Y J, Yan D and Song L J 2014 Acta Phys. Sin. 63 170302(in Chinese)
|
| [10] |
Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam:North-Holland)
|
| [11] |
Helstrom C W 1976 Quantum Detection and Estimation Theory (New York:Academic)
|
| [12] |
Huelga S F, Macchiavello C, Pellizzari T, Ekert K A, Plenio M B and Cirac J I 1997 Phys. Rev. Lett. 79 3865
|
| [13] |
Li N and Luo S L 2013 Phys. Rev. A 88 014301
|
| [14] |
Wang T L, Wu L N, Yang W, Jin G R, Lambert N and Nori F 2014 New J. Phys. 16 063039
|
| [15] |
Watanable Y, Sagawa T and Ueda M 2010 Phys. Rev. Lett. 104 020401
|
| [16] |
Zheng Q, Ge L, YaoY and Zhi Q J 2015 Phys. Rev. A 91 033805
|
| [17] |
Li Y L, Xiao X and Yao Y 2015 Phys. Rev. A 91 052105
|
| [18] |
Huang J, Guo Y N and Xie Q 2016 Chin. Phys. B 25 020303
|
| [19] |
Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge:Cambridge University Press)
|
| [20] |
Ma J, Huang Y X, Wang X G and Sun C P 2011 Phys. Rev. A 84 022302
|
| [21] |
Xiong H N and Wang X G 2011 Physica A 390 4719
|
| [22] |
Salvatori G, Mandarino A and Paris M G A 2014 Phys. Rev. A 90 022111
|
| [23] |
Kok P, Braunstein S L and Dowling J P 2004 J. Opt. B 6 029
|
| [24] |
Bollinger J J, Itano W, Wineland D J and Heinzen D J 1996 Phys. Rev. A 54 R4649
|
| [25] |
Fisher R A 1925 Proc. Cambridge Philos. Soc. 22 700
|
| [26] |
Pairs M G A 2009 Int. J. Quant. Inf. 7 125
|
| [27] |
Wei Z, Sun Z, Ma J, Wang X G and Nori F 2013 Phys. Rev. A 87 022337
|
| [28] |
Kamta G L and Starace A F 2002 Phys. Rev. Lett. 88 107901
|
| [29] |
Milburn G J 1991 Phys. Rev. A 44 5401
|
| [30] |
Moya-Cessa H, Buzek V, Kim M S and Knight P L 1993 Phys. Rev. A 48 3900
|
| [31] |
Liu B Q, Shao B and Zou J 2010 Phys. Lett. A 374 1970
|
| [32] |
Vidal G and Wemer R F 2002 Phys. Rev. A 65 032314
|
| [33] |
Zhou L, Yi X X, Song H S and Quo Y Q 2005 Chin. Phys. 14 1168
|
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