Multicopy and stochastic transformation of multipartite pure states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 2, 2011, Pages

  Chen, Lin ^a   Hayashi, Masahito ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CARDINALITIES; COMMON ENVIRONMENT; ENTANGLED STATE; EQUIVALENT STATE; GREENBERGER-HORNE-ZEILINGER STATE; LOCAL OPERATIONS AND CLASSICAL COMMUNICATIONS; MAXIMALLY ENTANGLED STATE; MULTIPARTITE STATE; MULTIPARTITE SYSTEMS; PARTIAL ORDER; PURE STATE; QUANTUM INFORMATION; SEPARABLE STATE; TENSOR RANKS;

QUANTUM ENTANGLEMENT; QUANTUM OPTICS; STOCHASTIC SYSTEMS;

TENSORS;

EID: 79952160620     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.022331     Document Type: Article

References (26)

1. C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895 70, 1895 (1993).
2. H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. PRLTAO 00 (Pubitemid 32159821)
3. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.2046 53, 2046 (1996).
4. C. H Bennett, S. Popescu, D. Rohrlich, J. A. Smolin, and A. V. Thapliyal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.012307 63, 012307 (2000).
5. W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062314 62, 062314 (2000). (Pubitemid 32076639)
6. D. M. Greenberger, M. Horne, and A. Zeilinger, in Bell's Theorem, Quantum theory and Conceptions of the Universe, edited by, M. Kafatos, (Kluwer, Norwell, 1989), p. 69.
7. A. Miyake, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.012108 67, 012108 (2003).
8. L. Chen, Y.-X. Chen, and Y.-X. Mei, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.052331 74, 052331 (2006). (Pubitemid 44800790)
9. E. Chitambar, C. A. Miller, and Yaoyun Shi, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.3459069 51, 072205 (2010).
10. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.3824 54, 3824 (1996).
11. - n). In particular, the nonasymptotic case has been handled in the paper;
12. S. Bandyopadhyay, V. Roychowdhury, and U. Sen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.052315 65, 052315 (2002).
13. M. A. Nielsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83. 436 83, 436 (1999).
14. J. Eisert and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.022306 64, 022306 (2001).
15. R. Duan and Y. Shi, e-print arXiv: 0911.0879 [quant-ph] (2009).
16. E. Chitambar, R. Duan, and Y. Shi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.140502 101, 140502 (2008).
17. L. Chen, E. Chitambar, R. Duan, Z. Ji, and A. Winter, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.105.200501 105, 200501 (2010).
18. E. Chitambar, R. Duan, and Y. Shi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052310 81, 052310 (2010).
19. T. Bastin, S. Krins, P. Mathonet, M. Godefroid, L. Lamata, and E. Solano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.070503 103, 070503 (2009).
20. J. B. Kruskal, Lin. Alg. Appl. LAAPAW 0024-3795 10.1016/0024-3795(77) 90069-6 18, 95 (1977).
21. P. Bürgisser, M. Clausen, and M. A. Shokrollahi, Algebraic Complexity Theory (Springer-Verlag, Berlin, 1997).
22. J. Haastad, J. Algorithms JOALDV 0196-6774 10.1016/0196-6774(90)90014-6 11, 644 (1990).
23. J. Ja' Ja', in STOC' 78: Proceedings of the Tenth Annual ACM Symposium on Theory of Computing (ACM, New York, 1978), p. 173.
24. S. Turgut, Y. Gul, and N. K. Pak, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.012317 81, 012317 (2010).
25. R. Lockhart, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1290055 41, 6766 (2000).
26. E. Alfsen and F. Shultz, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.3399808 51, 052201 (2010).