Generalized circulant densities and a sufficient condition for separability

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 38, 2008, Pages

  Chruściński, Dariusz ^a   Pittenger, Arthur O ^b  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

^b UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54749105897     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/38/385301     Document Type: Article

References (20)

1. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
2. Ekert A 1997 From quantum code-making to quantum code-breaking Preprint quant-ph/9703035
3. Peres A 1966 Separability criterion for density matrices Phys. Rev. Lett. 77 1413-4
4. Horodecki Mł, Hordecki P and Horodecki R 1996 Separability of mixed states: necessary and sufficient conditions Phys. Lett. A 223 1 (see also quant-ph/9605038)
5. Horodecki P 1997 Separability criterion and inseparable mixed states with positive partial transposition Phys. Lett. A 232 333
6. Pittenger A O and Rubin M H 2000 Complete separability and Fourier representations of n-qubit states Phys. Rev. A 62 042306 (Preprint quant-ph/9912116)
7. Chruściński D and Kossakowski A 2007 On circulant states with positive partial transpose Phys. Rev. A 76 032308
8. Chruściński D and Kossakowski A 2006 Class of positive partial transposition states Phys. Rev. A 74 022308
9. Baumgartner B, Hiesmayr B C and Narnhofer H 2006 The state space for two qutrits has a phase space structure at its core Phys. Rev. A 74 032327
10. Baumgartner B, Hiesmayr B C and Narnhofer H 2007 A special simplex in the state space for entangled qudits J. Phys. A: Math. Theor. 40 7919-38
11. Baumgartner B, Hiesmayr B C and Narnhofer H 2008 The geometry of bipartite qutrits including bound entanglement Phys. Lett. A 372 2190-5 (Preprint 0705.1403)
12. Fivel D I 1995 Remarkable phase oscillations appearing in the lattice dynamics of Einstein-Podolsky-Rosen states Phys. Rev. Lett. 74 835
13. Gibbons K S, Hoffman M J and Wootters W K 2004 Discrete space based on finite fields Phys. Rev. A 70 062101
14. Pittenger A O and Rubin M H 2004 Mutually unbiased bases, generalized spin matrices and separability Linear Alg. Appl. 390 255 (Preprint quant-ph/0308142)
15. Lewenstein M, Bruss D, Cirac J I, Kraus B, Kuś M, Samsonowicz J, Sanpera A and Tarrach R 2000 Separability and distilability is composite quantum systems-a primer J. Mod. Opt. 47 2841
16. Horodecki R, Hordecki P, Horodecki M and Horodecki K 2007 Quatum entanglement Preprint 0702.225
17. DiVincenzo D P, Shor P, Smolin J A, Terhal B M and Thapliyal A V 2000 Evidence for bound entangled states with negative partial transpose Phys. Rev. A 61 062312 (Preprint quant-ph/9910026)
18. Pittenger A O and Rubin M H 2002 Convexity and the separability problem of quantum mechanical density matrices Linear Alg. Appl. 346 47-71 (Preprint quant-ph/0103038)
19. Pittenger A O and Rubin M H 2005 Wigner functions and separability for finite systems J. Phys. A: Math. Gen. 38 6005-36
20. Pittenger A O and Rubin M H 2000 Note on separablity of Werner states in arbitrary dimensions Optics Commun. 179 447