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量子度量学是研究量子测量与统计推断的一门学科，主要利用量子手段来提高参数估计的精度，在量子信息处理与测量中起到关键作用.量子参数估计的一般过程包含四个步骤：探针态的制备、参数化过程、对参数化后的输出态进行测量以及根据测量结果估计待测参数.其中探针态的选取对测量精度起着至关重要的作用.然而在实际的量子探针态的制备过程中，初始探针态会受到环境噪声的影响.目前人们已经研究了W态与Greenberger-Horne-Zeilinger（GHZ）态的量子Fisher信息（QFI）在典型噪声通道下的变化行为.由于W态与GHZ态有着不同的纠缠性质，对于W态与GHZ态的叠加态的QFI动力学研究具有重要的实际意义.故此，本文主要研究典型噪声通道对这两种状态的叠加态的QFI动力学行为的影响，得出了QFI随噪声参数的变化行为.结果表明，叠加态中W态组分可明显对抗相位阻尼噪声对探针态的QFI的影响，而其中的GHZ态组分可明显对抗振幅阻尼噪声的影响，从而为在实际环境中选取高精度的参数估计过程提供参考.
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[2] Jin G R, Kim S W 2007 Phys. Rev. A 76 043621
[3] Hyllus P, Laskowski W, Krischek P, Schwemmer C, Wieczorek W, Weinfurter H, Pezzé L, Smerzi A 2012 Phys. Rev. A 85 022321
[4] Liu W F, Zhang L H, Li C J 2010 Int. J. Theor. Phys. 49 2463
[5] Liu J, Xiong H N, Song F, Wang X G 2014 Physica A 410 167
[6] Yao Y, Xiao X, Ge L, Wang X G, Sun C P 2014 Phys. Rev. A 89 042336
[7] Giovannetti V, Lloyd S, Maccone L 2006 Phys. Rev. Lett. 96 010401
[8] Ozaydin F 2014 Phys. Lett. A 378 3161
[9] Ozaydin F, Altintas A A, Bugu S, Yesilyurt C 2014 Acta Phys. Pol. A 125 606
[10] Luati A 2004 Ann. Stat. 32 1770
[11] Jing X X, Liu J, Xiong H N, Wang X G 2015 Phys. Rev. A 92 012312
[12] Pezzé L, Smerzi A 2009 Phys. Rev. Lett. 102 100401
[13] Escher B M, Filho R L D M, Davidovich L 2011 Nat. Phys. 7 406
[14] Demokowicz-Dobrzański R, Kolodyński J, Gutǎ M 2012 Nat. Commun. 3 1063
[15] Roy S M, Braunstein S L 2008 Phys. Rev. Lett. 100 220501
[16] Greenberger D M, Horne M A, Shimony A, Zeilinger A 1990 Am. J. Phys. 58 1131
[17] Dr W, Vidal G, Cirac J I 2000 Phys. Rev. A 62 062314
[18] Briegel H J, Raussendorf R 2001 Phys. Rev. Lett. 86 910
[19] Ma J, Huang Y X, Wang X G, Sun C P 2011 Phys. Rev. A 84 022302
[20] Ozaydin F, Altintas A A, Bugu S, Yesilyurt C 2013 Int. J. Theor. Phys. 52 2977
[21] Ozaydin F, Altintas A A, Bugu S, Yesilyurt C 2014 Int. J. Theor. Phys. 53 3219
[22] Yi X J, Huang G Q, Wang J M 2012 Int. J. Theor. Phys. 51 3458
[23] Erol V 2017 Int. J. Theor. Phys. 56 3202
[24] Erol V 2017 arXiv: 1704.07367 (preprints)
[25] Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press) pp56-57
[26] Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam: North-Holland) pp102-104
[27] Braunstein S L, Caves C M 1994 Phys. Rev. Lett. 72 3439
[28] Paris M G A 2009 Int. J. Quantum Inf. 07 125
[29] Ma J, Huang Y X, Wang X G, Sun C P 2011 Phys. Rev. A 84 022302
[30] Pang S S, Brun T A 2014 Phys. Rev. A 90 022117
[31] Liu J, Jing X X, Wang X G 2014 Sci. Rep. 5 8565
[32] Wang X, Shi X 2015 Phys. Rev. A 92 042318
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[1] Braunstein S L, Caves C M 1994 Phys. Rev. Lett. 72 3439
[2] Jin G R, Kim S W 2007 Phys. Rev. A 76 043621
[3] Hyllus P, Laskowski W, Krischek P, Schwemmer C, Wieczorek W, Weinfurter H, Pezzé L, Smerzi A 2012 Phys. Rev. A 85 022321
[4] Liu W F, Zhang L H, Li C J 2010 Int. J. Theor. Phys. 49 2463
[5] Liu J, Xiong H N, Song F, Wang X G 2014 Physica A 410 167
[6] Yao Y, Xiao X, Ge L, Wang X G, Sun C P 2014 Phys. Rev. A 89 042336
[7] Giovannetti V, Lloyd S, Maccone L 2006 Phys. Rev. Lett. 96 010401
[8] Ozaydin F 2014 Phys. Lett. A 378 3161
[9] Ozaydin F, Altintas A A, Bugu S, Yesilyurt C 2014 Acta Phys. Pol. A 125 606
[10] Luati A 2004 Ann. Stat. 32 1770
[11] Jing X X, Liu J, Xiong H N, Wang X G 2015 Phys. Rev. A 92 012312
[12] Pezzé L, Smerzi A 2009 Phys. Rev. Lett. 102 100401
[13] Escher B M, Filho R L D M, Davidovich L 2011 Nat. Phys. 7 406
[14] Demokowicz-Dobrzański R, Kolodyński J, Gutǎ M 2012 Nat. Commun. 3 1063
[15] Roy S M, Braunstein S L 2008 Phys. Rev. Lett. 100 220501
[16] Greenberger D M, Horne M A, Shimony A, Zeilinger A 1990 Am. J. Phys. 58 1131
[17] Dr W, Vidal G, Cirac J I 2000 Phys. Rev. A 62 062314
[18] Briegel H J, Raussendorf R 2001 Phys. Rev. Lett. 86 910
[19] Ma J, Huang Y X, Wang X G, Sun C P 2011 Phys. Rev. A 84 022302
[20] Ozaydin F, Altintas A A, Bugu S, Yesilyurt C 2013 Int. J. Theor. Phys. 52 2977
[21] Ozaydin F, Altintas A A, Bugu S, Yesilyurt C 2014 Int. J. Theor. Phys. 53 3219
[22] Yi X J, Huang G Q, Wang J M 2012 Int. J. Theor. Phys. 51 3458
[23] Erol V 2017 Int. J. Theor. Phys. 56 3202
[24] Erol V 2017 arXiv: 1704.07367 (preprints)
[25] Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press) pp56-57
[26] Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam: North-Holland) pp102-104
[27] Braunstein S L, Caves C M 1994 Phys. Rev. Lett. 72 3439
[28] Paris M G A 2009 Int. J. Quantum Inf. 07 125
[29] Ma J, Huang Y X, Wang X G, Sun C P 2011 Phys. Rev. A 84 022302
[30] Pang S S, Brun T A 2014 Phys. Rev. A 90 022117
[31] Liu J, Jing X X, Wang X G 2014 Sci. Rep. 5 8565
[32] Wang X, Shi X 2015 Phys. Rev. A 92 042318
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