The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes

Journal of Mathematical Physics

Volumn 50, Issue 12, 2009, Pages

  Hayashi, Masahito ^a   Markham, Damian ^b   Murao, Mio ^c   Owari, Masaki ^d   Virmani, Shashank ^d,e  

^a TOHOKU UNIVERSITY   (Japan)

^b CNRS   (France)

^c UNIVERSITY OF TOKYO   (Japan)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

^e UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 73949153239     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3271041     Document Type: Article

References (28)

1. A. Shimony, Ann. N.Y. Acad. Sci. 0077-8923 755, 675 (1995). 10.1111/j.1749-6632.1995.tb39008.x
2. T. -C. Wei and P. M. Goldbart, Phys. Rev. A 1050-2947 68, 042307 (2003). 10.1103/PhysRevA.68.042307
3. D. Markham, J. Anders, V. Vedral, M. Murao, and A. Miyake, Europhys. Lett. 0295-5075 81, 40006 (2008). 10.1209/0295-5075/81/40006
4. T. -C. Wei, D. Das, S. Mukhopadyay, S. Vishveshwara, and P. M. Goldbart, Phys. Rev. A 1050-2947 71, 060305 (2005). 10.1103/PhysRevA.71.060305 (Pubitemid 41481169)
5. Y. Nakata, D. Markham, and M. Murao, Phys. Rev. A 1050-2947 79, 042313 (2009). 10.1103/PhysRevA.79.042313
6. M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. Lett. 0031-9007 96, 040501 (2006). 10.1103/PhysRevLett.96.040501 (Pubitemid 43270864)
7. D. Gross, S. Flammia, and J. Eisert, Phys. Rev. Lett. 0031-9007 102, 190501 (2009). 10.1103/PhysRevLett.102.190501
8. C. E. Mora, M. Piani, A. Miyake, M. Van den Nest, W. Dür, and H. J. Briegel, Phys. Rev. A 1050-2947 80, 033607 (2009). 10.1103/PhysRevA.80.033607
9. R. Orús, S. Dusuel, and J. Vidal, Phys. Rev. Lett. 0031-9007 101, 025701 (2008). 10.1103/PhysRevLett.101.025701
10. Q. -Q. Shi, R. Orus, J. O. Fjaerestad, and H. -Q. Zhou, e-print arXiv:0901.2863v1 (2009).
11. O. Gühne and G. Toth, Phys. Rep. 0370-1573 474, 1 (2009). 10.1016/j.physrep.2009.02.004
12. M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. A 1050-2947 77, 012104 (2008). 10.1103/PhysRevA.77.012104 (Pubitemid 351147748)
13. R. F. Werner and A. S. Holevo, J. Math. Phys. 0022-2488 43, 4353 (2002). 10.1063/1.1498491
14. A. Defant and K. Floret, Tensor Norms and Operator Ideals (North-Holland, Amsterdam, 1992).
15. D. Ṕrez-García, M. M. Wolf, C. Palazuelos, I. Villanueva, and M. Junge, Commun. Math. Phys. 0010-3616 279, 455 (2008). 10.1007/s00220-008-0418-4
16. L. De Lathauwer, B. D. Moor, and J. Vandewalle, SIAM J. Matrix Anal. Appl. 0895-4798 21, 1324 (2000). 10.1137/S0895479898346995 (Pubitemid 33217072)
17. T. Zhang and G. H. Golub, SIAM J. Matrix Anal. Appl. 0895-4798 23, 534 (2001). 10.1137/S0895479899352045
18. E. Kofidis and P. A. Regalia, SIAM J. Matrix Anal. Appl. 0895-4798 23, 863 (2002). 10.1137/S0895479801387413
19. H. Wang and N. Ahuja, IEEE International Conference on Pattern Recognition (ICPR), 2004 (unpublished).
20. G. Ni and Y. Wang, Math. Comput. Modell. 0895-7177 46, 1345 (2007). 10.1016/j.mcm.2007.01.008 (Pubitemid 47362621)
21. V. de Silva and L. H. Lim, SIAM J. Matrix Anal. Appl. 0895-4798 30, 1084 (2008). 10.1137/06066518X
22. T. -C. Wei, M. Ericsson, P. M. Goldbart, and W. J. Munro, Quantum Inf. Comput. 1533-7146 4, 252 (2004).
23. D. Markham, A. Miyake, and S. Virmani, New J. Phys. 1367-2630 9, 194 (2007). 10.1088/1367-2630/9/6/194 (Pubitemid 47146366)
24. K. G. H. Vollbrecht and R. F. Werner, Phys. Rev. A 1050-2947 64, 062307 (2001). 10.1103/PhysRevA.64.062307
25. For a review of entanglement measures see M. B. Plenio and S. Virmani, Quantum Inf. Comput. 1533-7146 7, 1 (2007);
26. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki Rev. Mod. Phys. 0034-6861 81, 865 (2009). 10.1103/RevModPhys.81.865
27. T. -C. Wei and S. Severini, e-print arXiv:0905.0012v1.
28. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1990).