In this paper, I will derive a measure of entanglement that coincides with the generalized concurrence for a general pure bi-and three-partite state based on wedge product. I will show that a further generalization of this idea to a general pure multipartite state with more than three subsystems will fail to quantify entanglement, but it defines the set of separable state for such composite state.

arXiv:quant-ph/0504013Foundations of Quantum Mechanics in the Light of New TechnologyJun 1, 20061 citation

arXiv:quant-ph/0305046 · Journal of Physics A Mathematical and General

Entangling power of the quantum baker s map

A J Scott, Carlton M. Caves

Published Aug 27, 2003• 123 citations

arXiv HTML PDF

Abstract

DOI: 10.1088/0305-4470/36/36/308

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QUANTUM ENTANGLEMENT AND WEDGE PRODUCT

Hoshang Heydari

arXiv:quant-ph/0504013Foundations of Quantum Mechanics in the Light of New TechnologyJun 1, 20061 citation

e(U)

given by the mean linear entropy produced acting with U on a given distribution of pure product states. This measure admits a natural interpretation in terms of quantum operations. For a uniform distribution explicit analytical results are obtained using group-theoretic arguments. The behavior of the features of

e(U)

as the subsystem dimensions

{d}_{1}

and

{d}_{2}

are varied is studied both analytically and numerically. The two-qubit case

{d}_{1}{=d}_{2}=2

is argued to be peculiar.