paper

A new entanglement measure induced by the Hilbert-Schmidt norm

arXiv:quant-ph/9811027 · doi:10.1016/S0375-9601(99)00279-0

Abstract

In this letter we discuss a new entanglement measure. It is based on the Hilbert-Schmidt norm of operators. We give an explicit formula for calculating the entanglement of a large set of states on C^2 \times C^2. Furthermore we find some relations between the entanglement of relative entropy and the Hilbert-Schmidt entanglement. A rigorous definition of partial transposition is given in the appendix.

12 pages, 1 figure, uses elsart.cls

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