Quantum metrology

doi:10.1088/1674-1056/22/11/110601

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110601-110601.doi: 10.1088/1674-1056/22/11/110601

所属专题： TOPICAL REVIEW — Quantum information

• TOPICAL REVIEW—Quantum information • 上一篇下一篇

Quantum metrology

项国勇, 郭光灿

Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China

收稿日期:2013-09-30 出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
Project supported by the National Basic Research Program of China (Grant Nos. 2011CBA00200 and 2011CB9211200), the National Natural Science Foundation of China (Grant Nos. 61108009 and 61222504), the Anhui Provincial Natural Science Foundation, China (Grant No. 1208085QA08), and the Ph. D. Program Foundation of Ministry of Education of China (Grant No. 20113402120017).

Quantum metrology

Xiang Guo-Yong (项国勇), Guo Guang-Can (郭光灿)

Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China

Received:2013-09-30 Online:2013-09-28 Published:2013-09-28
Contact: Guo Guang-Can E-mail:gcguo@ustc.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant Nos. 2011CBA00200 and 2011CB9211200), the National Natural Science Foundation of China (Grant Nos. 61108009 and 61222504), the Anhui Provincial Natural Science Foundation, China (Grant No. 1208085QA08), and the Ph. D. Program Foundation of Ministry of Education of China (Grant No. 20113402120017).

摘要/Abstract

摘要： The statistical error is ineluctable in any measurement. Quantum techniques, especially with the development of quantum information, can help us squeeze the statistical error and enhance the precision of measurement. In a quantum system, there are some quantum parameters, such as the quantum state, quantum operator, and quantum dimension, which have no classical counterparts. So quantum metrology deals with not only the traditional parameters, but also the quantum parameters. Quantum metrology includes two important parts: measuring the physical parameters with a precision beating the classical physics limit and measuring the quantum parameters precisely. In this review, we will introduce how quantum characters (e.g., squeezed state and quantum entanglement) yield a higher precision, what the research areas are scientists most interesting in, and what the development status of quantum metrology and its perspectives are.

关键词: quantum entangled state, phase estimation, quantum imaging, quantum tomography

Abstract: The statistical error is ineluctable in any measurement. Quantum techniques, especially with the development of quantum information, can help us squeeze the statistical error and enhance the precision of measurement. In a quantum system, there are some quantum parameters, such as the quantum state, quantum operator, and quantum dimension, which have no classical counterparts. So quantum metrology deals with not only the traditional parameters, but also the quantum parameters. Quantum metrology includes two important parts: measuring the physical parameters with a precision beating the classical physics limit and measuring the quantum parameters precisely. In this review, we will introduce how quantum characters (e.g., squeezed state and quantum entanglement) yield a higher precision, what the research areas are scientists most interesting in, and what the development status of quantum metrology and its perspectives are.

Key words: quantum entangled state, phase estimation, quantum imaging, quantum tomography

中图分类号: (Metrology)

06.20.-f

42.25.Hz (Interference) 42.50.Dv (Quantum state engineering and measurements) 42.65.Lm (Parametric down conversion and production of entangled photons)

项国勇, 郭光灿. Quantum metrology[J]. 中国物理B, 2013, 22(11): 110601-110601.

Xiang Guo-Yong (项国勇), Guo Guang-Can (郭光灿). Quantum metrology[J]. Chin. Phys. B, 2013, 22(11): 110601-110601.

参考文献 75

[1]	Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[2]	Giovannetti V, Lloyd S and Maccone L 2004 Science 306 1330
[3]	Xiao M, Wu L A and Kimble H J 1987 Phys. Rev. Lett. 59 278
[4]	Nagata T, Okamoto R, O’Brien J L, Sasaki K and Takeuchi S 2007 Science 316 726
[5]	Holland M J and Burnett K 1993 Phys. Rev. Lett. 71 1355
[6]	Sun F W, Liu B H and Huang Y F 2008 Europhys. Lett. 82 24001
[7]	Xiang G Y, Hofmann H F and Pryde G J 2013 Scientific Reports 3 2684
[8]	Higgins B L, Berry D W, Bartlett S D, Wiseman H M and Pryde G J 2007 Nature 450 393
[9]	Xiang G Y, Higgins B L, Berry D W, Wiseman H M and Pryde G J 2011 Nature Photonics 5 43
[10]	Okamoto R, Hofmann H F, Nagata T, O’BrienJ L, Sasaki K and Takeuchi S 2008 New J. Phys. 10 073033
[11]	Crespi A, Lobino M, Matthews J C F, Politi A, Neal C R, Ramponi R, Osellame R and O’Brien J L 2012 Appl. Phys. Lett. 100 233704
[12]	The LIGO Scientific Collaboration 2011 Nature Phys. 7 962
[13]	Huver S D, Wildfeuer C F and Dowling J P 2008 Phys. Rev. A 78 063828
[14]	Kacprowicz M, Demkowicz-Dobrzanski R, Wasilewski W, Banaszek K and Walmsley I A 2010 Nature Photonics 4 357
[15]	Escher B M, de Matos Filho R L and Davidovich L 2011 Nature Phys. 7 406
[16]	Hall M J W, Berry D W, Zwierz M and Wiseman H M 2011 arXiv:1111.0788
[17]	Yonezawa H, Nakane D, Wheatley T A, Iwasawa K, Takeda S, Arao H, Ohki K, Tsumura K, Berry D W, Ralph T C, Wiseman H M, Huntington E H and Furusawa A 2012 Science 337 1514
[18]	Gatti A, Brambilla E, Bache M and Lugiato L A 2004 Phys. Rev. A 70 013802
[19]	Gatti A, Brambilla E, Bache M and Lugiato L A 2004 Phys. Rev. Lett. 93 093602
[20]	Brambilla E, Gatti A, Lugiato L A and Kolobov M I 2001 Eur. Phys. J. D 15 127
[21]	Brambilla E, Caspani L, Jedrkiewicz O, Lugiato L A and Gatti A 2008 Phys. Rev. A 77 053807
[22]	Brida G, Genovese M and Ruo Berchera I 2010 Nature Photonics 4 227
[23]	Boto N, Kok P, Abrams D S, Braunstein S L, Williams C P and Dowling J P 2000 Phys. Rev. Lett. 85 2733
[24]	Angelo M D, Chekhova M V and Shih Y H 2001 Phys. Rev. Lett. 87 013602
[25]	Agarwaletal G S 2001 Phys. Rev. Lett. 86 1389
[26]	Bentley S J and Boyd R W 2004 Opt. Express 12 5735
[27]	Boyd R W and Bentley S J 2006 J. Mod. Opt. 53 713
[28]	Hemmer P R 2006 Phys. Rev. Lett. 96 163603
[29]	Bjork G, Sanchez-Soto L L and Soderholm J 2001 Phys. Rev. Lett. 86 4516
[30]	Bjork G, Sanchez-Soto L L and Soderholm J 2001 Phys. Rev. A 64 013811
[31]	Thiel C, Bastin T, Martin J, Solano E, von Zanthier J and Agarwal G S 2007 Phys. Rev. Lett. 99 133603
[32]	Giovannetti V, Lloyd S, Maccone L and Shapiro J H 2009 Phys. Rev. A 79 013827
[33]	Tsang M 2009 Phys. Rev. Lett. 102 253601
[34]	Shin H, Chan K W C, Chang H J and Boyd R W 2011 Phys. Rev. Lett. 107 083603
[35]	James D F V, Kwiat P G, Munro W J and White A G 2001 Phys. Rev. A 64 052312
[36]	Blume-Kohout R 2010 New J. Phys. 12 043034
[37]	Altepeter J B, Branning D, Jeffrey E, Wei T C, Kwiat P G, Thew R T, O’Brien J L, Nielsen M A and White A G 2003 Phys. Rev. Lett. 90 193601
[38]	Blume-Kohout R, Yin J O S and van Enk S J 2010 Phys. Rev. Lett. 105 170501
[39]	Yin J O S and van Enk S J 2011 Phys. Rev. A 83 062110
[40]	Gross D, Liu Y K, Flammia S T, Becker S and Eisert J 2010 Phys. Rev. Lett. 105 150401
[41]	Blume-Kohout R 2012 arXiv:1202.5270
[42]	Christandl M and Renner R 2012 Phys. Rev. Lett. 109 120403
[43]	Adamson R B A and Steinberg A M 2010 Phys. Rev. Lett. 105 030406
[44]	Tóth G, Wieczorek W, Gross D, Krischek R, Schwemmer C and Weinfurter H 2010 Phys. Rev. Lett. 105 250403
[45]	Huszar F and Houlsby N M T 2012 Phys. Rev. A 85 052120
[46]	Sugiyama T, Turner P S and Murao M 2012 Phys. Rev. A 85 052107
[47]	Kravtsov K S, Straupe S S, Radchenko I V, Houlsby N M T and Kulik S P 2013 arXiv:1303.1792
[48]	Mahler D H, Rozema L A, Darabi A, Ferrie C, Blume-Kohout R and Steinberg A M 2013 arXiv:1303.0436
[49]	Qi B, Hou Z B, Li L, Dong D Y, Xiang G Y and Guo G C 2013 arXiv:1304.6827
[50]	Bagan E, Baig M, Munoz-Tapia R and Rodriguez A 2004 Phys. Rev. A 69 010304
[51]	Chuang I L and Nielsen M A 1996 arXiv:quant-ph/9610001
[52]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[53]	Chuang I L and Nielsen M A 1997 J. Mod. Opt. 44 2455
[54]	Poyatos J F, Cirac J I and Zoller P 1997 Phys. Rev. Lett. 78 390
[55]	Anis A and Lvovsky A I 2012 New J. Phys. 14 105021
[56]	Leung D W 2003 J. Math. Phys. 44 528
[57]	D’Ariano G M and Lo Presti P 2001 Phys. Rev. Lett. 86 4195
[58]	D’Ariano G M and Lo Presti P 2003 Phys. Rev. Lett. 91 047902
[59]	da Silva M P, Landon-Cardinal O and Poulin D 2011 Phys. Rev. Lett. 107 210404
[60]	Graham T M, Barreiro J T, Mohseni M and Kwiat P G 2013 Phys. Rev. Lett. 110 060404
[61]	Cramer M, Plenio M B, Flammia S T, somma R, Gross D, Bartlett S D, Landon-Cardinal O, Poulin D and Liu Y K 2010 Nat. Commu. 1 149
[62]	Smolin J A, Gambetta J M and Smith G 2012 Phys. Rev. Lett. 108 070502
[63]	Shabani A, Kosut R L, Mohseni M, Rabitz H, Broome M A, Almeida M P, Fedrizzi A and White A G 2011 Phys. Rev. Lett. 106 100401
[64]	Liu W T, Zhang T, Liu J Y, Chen P X and Yuan J M 2012 Phys. Rev. Lett. 108 170403
[65]	Branczyk A M, Mahler D H, Rozema L A, ADarabi, Steinberg A M and James D F V 2012 New J. Phys. 14 085003
[66]	Abouraddy A F, Nasr M B, Saleh B E A, Sergienko A V and Teich M C 2002 Phys. Rev. A 65 053817
[67]	Nasr M B, Saleh B E A, Sergienko A V and Teich M C 2003 Phys. Rev. Lett. 91 083601
[68]	Lopez-Mago D and Novotny L 2012 Opt. Lett. 37 4077
[69]	Giovannetti V, Lloyd S and Maccone L 2001 Nature 412 417
[70]	Bahder T B 2004 quant-ph/0406126
[71]	Giovannetti V, Lloyd S and Maccone L 2002 Phys. Rev. A 65 022309
[72]	Valencia A, Scarcelli G and Shih Y H 2004 Appl. Phys. Lett. 85 2655
[73]	Nagy G A 2011 arxiv:1101.2223
[74]	http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA502521
[75]	http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA506209

Quantum metrology

Quantum metrology

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