Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33087
A Decomposition Method for the Bipartite Separability of Bell Diagonal States
Authors: Wei-Chih Su, Kuan-Peng Chen, Ming-Chung Tsai, Zheng-Yao Su
Abstract:
A new decomposition form is introduced in this report to establish a criterion for the bi-partite separability of Bell diagonal states. A such criterion takes a quadratic inequality of the coefficients of a given Bell diagonal states and can be derived via a simple algorithmic calculation of its invariants. In addition, the criterion can be extended to a quantum system of higher dimension.Keywords: decomposition, bipartite separability, Bell diagonal states.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1329997
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1653References:
[1] Asher Peres, Phys. Rev. Lett. 77, 1413-1415(1996).
[2] M. Horodecki, P. Horodecki and R. Horodecki 1996 Phys. Lett. A 223, Issues 1-2, 1-8(1996).
[3] William K. Wootters Phys. Rev. Lett. 80, 2245-2248(1998).
[4] M. Horodecki and P. Horodecki, Phys. Rev. A 59, 4206(1999);
[5] M. A. Nielsen and J. Kempe, Phys. Rev. Lett. 86, 5184 (2001).
[6] R. Horodecki and M. Horodecki Phys. Rev. A 54, 1838 (1996)
[7] A. C. Doherty, P. A. Parrilo, F. M. Spedalieri, Phys. Rev. Lett. Vol. 88, No. 18, 187904 (2002).
[8] J. Eisert, T. Felbinger, P. Papadopoulos, M. B. Plenio, M. Wilkens, Phys. Rev. Lett.84, 1611 (2000).
[9] R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81, 865 (2009)
[10] B. Baumgartner, B. C. Hiesmayr, and H. Narnhofer, Phys. Rev. A 74, 032327 (2006).
[11] B. Baumgartner, B. C. Hiesmayr, and H. Narnhofer, J. Phys. A 40, 7919 (2007).
[12] B. Baumgartner, B. C. Hiesmayr, and H. Narnhofer, Phys. Lett. A 372, 2190 (2008).
[13] R.F. Werner, Phys. R. A 40 (8): 4277V4281 (1989).
[14] Anna Sanpera, Rolf Tarrach and Guifre Vidal quant-ph/ 9707041.
[15] Hiroo Azuma and Masashi Ban Phys. Rev. A 73, 032315 (2006).
[16] R.G. Unanyan, H. Kampermann and D. Bruss J. Phys. A, 40: F483 (2007).
[17] Carlton M. Caves and Gerard J. Milburn Optics Communications 179, 439-446(2000).
[18] P. Rungta, W. J. Munro, K. Nemoto, P. Deuar, G. J. Milburn and C. M. Caves quant-ph/ 0001075.
[19] Arthur O. Pittenger and Morton H. Rubin Optics Communications 179, 447 (2000).