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Construction of 3 otimes 3 entangled edge states with positive partial transposes

Kil-Chan Ha1 and Seung-Hyeok Kye2

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We construct a class of 3 otimes 3 entangled edge states with positive partial transposes using indecomposable positive linear maps. This class contains several new types of entangled edge states with respect to the range dimensions of themselves and their partial transposes.


PACS

03.67.Mn Entanglement measures, witnesses, and other characterizations

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

02.10.Yn Matrix theory

MSC

81Qxx General mathematical topics and methods in quantum theory

15A30 Algebraic systems of matrices (See also 16S50, 20Gxx, 20Hxx)

Subjects

Mathematical physics

Computational physics

Quantum information and quantum mechanics

Dates

Issue 41 (14 October 2005)

Received 25 March 2005, in final form 25 July 2005

Published 28 September 2005



  1. Construction of 3 otimes 3 entangled edge states with positive partial transposes

    Kil-Chan Ha and Seung-Hyeok Kye 2005 J. Phys. A: Math. Gen. 38 9039

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  8. Classical r-matrices and the Feigin–Odesskii algebra via Hamiltonian and Poisson reductions

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