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

Abstract

Employing the general BXOR operation and local state discrimination, the mixed state of the form ρ^{(k)}_{d}=\frac{1}{d^{2}}\sum_{m,n=0}^{d-1}(|ϕ_{mn}><ϕ_{mn}|)^{\otim es k} is proved to be quasi-pure, where $\{|{\varphi }_{mn}>\}$ 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.

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

References in corpus (4)

• Distinguishability of the Bell states
• Entanglement cost of mixed states
• Irreversibility in asymptotic manipulations of entanglement
• When only two thirds of the entanglement can be distilled

Cited by in corpus (5)

• Difficulties in analytic computation for relative entropy of entanglement
• Local cloning of Bell states and distillable entanglement
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• Locally Accessible Information and Distillation of Entanglement
• Local Cloning of Entangled Qubits