Mixture of multiple copies of maximally entangled states is quasi-pure

Details Mixture of multiple copies of maximally entangled states is quasi-pure Mixture of multiple copies of maximally entangled states is quasi-pure

2003-04-29

arxiv.org/abs/quant-ph/0304194v2

Physics

Quantum Physics

6 pages, 1 figure. The paper is subtantially revised and the general proof is given

Scientific paper

10.1103/PhysRevA.69.024302

Employing the general BXOR operation and local state discrimination, the mixed state of the form \rho^{(k)}_{d}=\frac{1}{d^{2}}\sum_{m,n=0}^{d-1}(|\phi_{mn}><\phi_{mn}|)^{\otim es k} is proved to be quasi-pure, where $\{|\phi_{mn}>\}$ is the canonical set of mutually orthogonal maximally entangled states in $d\times d$. Therefore irreversibility does not occur in the process of distillation for this family of states. Also, the distillable entanglement is calculated explicitly.

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