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Separability criterion and inseparable mixed states with positive partial transposition

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Horodecki, Pawel·1997·Physics Letters A

Abstract

It is shown that any separable state on the Hilbert space 7-1= XI 8 l-t2 can be written as a convex combination of N pure product states with N < (dim’H)‘. 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 x 3 and 2 x 4 systems. The states represent an entanglement which is hidden in a more subtle way than known so far. @ 1997 Published by Elsevier Science B.V.

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Metadata

Authors
Horodecki, P.
Venue
Physics Letters A
Publisher
Elsevier BV
Published
1997-08
Volume
232
Issue
5
Pages
333-339
ISSN
0375-9601 (ISSN-L)
OpenAlex
W2103713333
Cited by
1,296
References
2
FWCI
22.82
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Separability criterion and inseparable mixed states with positive partial transposition. https://app.cochat.ai/papers/10.1016/s0375-9601(97)00416-7
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Horodecki, P. (1997). Separability criterion and inseparable mixed states with positive partial transposition. Physics Letters A. https://doi.org/10.1016/s0375-9601(97)00416-7

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