Unextendible product bases and the construction of inseparable states

Linear Algebra and Its Applications

Volumn 359, Issue 1-3, 2003, Pages 235-248

  Pittenger, Arthur O ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

Entanglement witnesses; Separability problem; Unextendible product bases

Indexed keywords

EID: 84867937584     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(02)00423-8     Document Type: Article

References (15)

1. C.H Bennett, D.P DiVincenzo, T Mor, J.A Smolin, and B.M Terhal Unextendible product bases and bound entanglement Phys. Rev. Lett. 82 1999 5385
2. D.P. DiVincenzo, T. Mor, P.W. Shor, J.A. Smolin, B.M. Terhal, Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement, quant-ph/9908070, Nov. 2000
3. D.P. DiVincenzo, B.M. Terhal, Product Bases in Quantum Information Theory, in: Proceedings of the XIII International Congress on Mathematical Physics, quant-ph/0008055, Aug 2000
4. M Horodecki, P Horodecki, and R Horodecki Separability of mixed states: necessary and sufficient conditions Phys. Lett. A 223 1996 1 8
5. M Horodecki, P Horodecki, and R Horodecki Mixed-state entanglement and distillation: is there a bound entanglement in nature? Phys. Rev. Lett. 80 1998 5239
6. M.A Nielsen, and I.L Chuang Quantum Computation and Quantum Information 2000 Cambridge University Press Cambridge
7. A Peres Separability criterion for density matrices Phys. Rev. Lett. 77 1996 1413
8. A.O Pittenger An Introduction to Quantum Computing Algorithms 1999 Birkhauser Boston
9. A.O Pittenger, and M.H Rubin Convexity and the separability problem of quantum mechanical density matrices Linear Algebra Appl. 346 1-3 2002 47 71 quant-ph/0103038, Mar 2001
10. A.O Pittenger, and M.H Rubin Complete separability and Fourier representations of density matrices Phys. Rev. A 62 2000 32313
11. J. Preskill, Available from < preskill@theory.caltech.edu
12. P Shor Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer Proc. 37th Symposium on Foundations of Computing 1996 IEEE Computer Society Press Silver Spring, MD 56 65
13. B.M. Terhal, Detecting quantum entanglement, quant-ph/0101032, Jan 2001
14. B.M Terhal A family of indecomposable positive linear maps based on entangled quantum states Linear Algebra Appl. 323 2000 61 73
15. K Zyczkowski, P Horodecki, A Sanpera, and M Lewenstein On the volume of mixed entangled states Phys. Rev. A 58 1998 883