Evidence for bound entangled states with negative partial transpose
نویسندگان
چکیده
منابع مشابه
Evidence for Bound Entangled States with Negative Partial Transpose
Maximally entangled quantum states, when their two halves are shared between two parties, are a uniquely valuable resource for various information-processing tasks. Used in conjunction with a quantum communications channel, they can increase the classical data carrying capacity of that channel, in some cases by an arbitrarily large factor [1]. Possession of maximally entangled states can ensure...
متن کامل/ 06 09 05 0 v 1 6 S ep 2 00 6 Bound Entangled States With Negative Partial Transpose Exist !
We prove the existence of bound entangled states with negative partial transpose (NPT) in any d × d(d ≥ 3) Hilbert space with a simple assumption on Schmidt rank two states. Obviously they belong to the class of conjectured to be bound entangled states by Divincenzo et.al [Phys. Rev. A, 61, 062312(2000)] and by Dür et.al [Phys. Rev. A, 61, 062313(2000)]. PACS number(s): 03.67.Hk, 03.65.Ud. The ...
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In this letter we have analyzed an entangled state in C3 ⊗ C3 having a positive partial transposition and have shown that it is an edge state. Further we have constructed explicitly a witness operator W which detects the entanglement. PACS numbers: 03.67.-a
متن کاملua nt - p h / 06 09 05 0 v 2 1 1 Se p 20 06 Bound Entangled States With Negative Partial Transpose Exist !
We prove the existence of bound entangled states with negative partial transpose (NPT) in any d×d(d ≥ 3) Hilbert space with simple assumptions on Schmidt rank two states. We have assumed that the Schmidt rank two states should satisfy some bounds. Obviously the class of NPT bound entangled states belong to the class of conjectured to be bound entangled states by Divincenzo et.al [Phys. Rev. A, ...
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We discuss the entanglement properties of bipartite states with Gaussian Wigner functions. For the separability, and the positivity of the partial transpose, we establish explicit necessary and sufficient criteria in terms of the covariance matrix of the state. It is shown that, for systems composed of a single oscillator for Alice and an arbitrary number for Bob, positivity of the partial tran...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2000
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.61.062312