Separability criterion and inseparable mixed states with positive partial transposition

Separability criterion and inseparable mixed states with positive partial transposition It is shown that any separable state on the Hilbert space H = H 1 ⊗ H 2 can be written as a convex combination of N pure product states with N ≤ (dim H ) 2 . Then a new separability criterion for mixed states in terms of the range of the density matrix is obtained. It is used in the construction of inseparable mixed states with positive partial transposition in the case of 3 × 3 and 2 × 4 systems. The states represent an entanglement which is hidden in a more subtle way than known so far. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physics Letters A Elsevier

Separability criterion and inseparable mixed states with positive partial transposition

Physics Letters A, Volume 232 (5) – Aug 4, 1997

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Publisher
Elsevier
Copyright
Copyright © 1997 Elsevier Ltd
ISSN
0375-9601
D.O.I.
10.1016/S0375-9601(97)00416-7
Publisher site
See Article on Publisher Site

Abstract

It is shown that any separable state on the Hilbert space H = H 1 ⊗ H 2 can be written as a convex combination of N pure product states with N ≤ (dim H ) 2 . Then a new separability criterion for mixed states in terms of the range of the density matrix is obtained. It is used in the construction of inseparable mixed states with positive partial transposition in the case of 3 × 3 and 2 × 4 systems. The states represent an entanglement which is hidden in a more subtle way than known so far.

Journal

Physics Letters AElsevier

Published: Aug 4, 1997

References

  • Phys Rev. A
    Bužek, V.; Vedral, V.; Plenio, M.B.; Knight, P.L.; Hillery, M.

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