|
|
|
A protocol to transform Svetlichny's genuine multipartite correlations into standard isotropic form |
| Xiang Yang(向阳)† and Ren Xi-Jun(任喜军) |
| School of Physics and Electronics, Henan University, Kaifeng 475001, China |
|
|
|
|
Abstract The standard isotropic correlations are widely used in the research of no-locality of quantum physics. We prove that any multipartite no-signaling correlation can be transformed into standard isotropic form through a randomization procedure which do not change Svetlichny's genuine multipartite correlation. For the tripartite correlations, every part with two-input and two-outcome, we explicitly give the protocol and the proof of its validity. We then generalize the protocol to deal with the case of N-partite.
|
Received: 19 March 2012
Revised: 09 April 2012
Accepted manuscript online:
|
|
PACS:
|
03.65.Ud
|
(Entanglement and quantum nonlocality)
|
| |
03.67.Mn
|
(Entanglement measures, witnesses, and other characterizations)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11005031 and 11047174). |
Corresponding Authors:
Xiang Yang
E-mail: njuxy@sohu.com
|
Cite this article:
Xiang Yang(向阳) and Ren Xi-Jun(任喜军) A protocol to transform Svetlichny's genuine multipartite correlations into standard isotropic form 2012 Chin. Phys. B 21 070307
|
| [1] |
Bell J S 1964 Physics 1 195
|
| [2] |
Clauser J F, Horne M A, Shimony A and Holt R A 1969 Phys. Rev. Lett. 23 880
|
| [3] |
Clauser J F, Horne M A, Shimony A and Holt R A 1970 Phys. Rev. Lett. 24 549(E)
|
| [4] |
Cirel'son B S 1980 Lett. Math. Phys. 4 93
|
| [5] |
Popescu S and Rohrlich D 1994 Found. Phys. 24 379
|
| [6] |
Barrett J, Linden N, Massar S, Pironio S, Popescu S and Roberts D 2005 Phy. Rev. A 71 022101
|
| [7] |
Masanes L, Acin A and Gisin N 2006 Phys. Rev. A 73 012112
|
| [8] |
Barrett J 2007 Phys. Rev. A 75 032304
|
| [9] |
Barnum H, Barrett J, Leifer M and Wilce A 2007 Phys. Rev. Lett. 99 240501
|
| [10] |
Li J J and Wang Z X 2010 Chin. Phys. B 19 100310
|
| [11] |
Scarani V, Gisin N, Brunner N, Masanes L, Pino S and Acin A 2006 Phys. Rev. A 74 042339
|
| [12] |
Barrett J, Hardy L and Kent A 2005 Phys. Rev. Lett. 95 010503
|
| [13] |
Acín A, Gisin N and Masanes L 2006 Phys. Rev. Lett. 97 120405
|
| [14] |
Yang Y G and Wen Q Y 2007 Chin. Phys. B 16 2215
|
| [15] |
Chen M J and Liu X 2011 Chin. Phys. B 20 100305
|
| [16] |
van Dam W 2005 arXiv: quant-ph/0501159
|
| [17] |
Brassard G, Buhrman H, Linden N, M閠hot A A, Tapp A and Unger F 2006 Phys. Rev. Lett. 96 250401
|
| [18] |
Linden N, Popescu S, Short A J and Winter A 2007 Phys. Rev. Lett. 99 180502
|
| [19] |
Brunner N and Skrzypczyk P 2009 Phys. Rev. Lett. 102 160403
|
| [20] |
Barnum H, Beigi S, Boixo S, Elliott M B and Wehner S 2010 Phys. Rev. Lett. 104 140401
|
| [21] |
Acín A, Augusiak R, Cavalcanti D, Hadley C, Korbizc J K, Lewenstein M, Masanes L and Piani M 2010 Phys. Rev. Lett. 104 140404
|
| [22] |
Pawlowski M, Paterek T, Kaszlikowski D, Scarani V, Winter A and Żukowski M 2009 Nature 461 1101
|
| [23] |
Allcock J, Brunner N, Pawlowski M and Scarani V 2009 Phys. Rev. A 80 040103(R)
|
| [24] |
Cavalcanti D, Cavalcanti D, Salles A and Scarani V 2010 Nat. Comm. 1 136
|
| [25] |
Xiang Y and Ren W 2011 Quant. Inf. Comput. 11 0948
|
| [26] |
Pironio S, Bancal J D and Scarani V 2011 J. Phys. A: Math. Theor. 44 065303
|
| [27] |
Svetlichny G 1987 Phys. Rev. D 35 3066
|
| [28] |
Seevinck M and Svetlichny G 2002 Phys. Rev. Lett. 89 060401
|
| [29] |
Mitchell P, Popescu S and Roberts D 2004 Phys. Rev. A 70 060101
|
| [30] |
Deng D L, Zhou Z S and Chen J L 2009 Phys. Rev. A 80 022109
|
| [31] |
Bancal J D, Brunner N, Gisin N and Liang Y C 2011 Phys. Rev. Lett. 106 020405
|
| [32] |
Chen J L, Deng D L, Su H Y, Wu C F and Oh C H 2011 Phys. Rev. A 83 022316
|
| [33] |
Deng D L, Gu S J and Chen J L 2010 Ann. Phys. 325 367
|
| [34] |
Aolita L, Gallego R, Cabello A and Acín A 2012 Phys. Rev. Lett. 108 100401
|
| [35] |
Masanes L, Acín A and Gisin N 2006 Phys. Rev. A 73 012112
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
