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The relative entropy of entanglement of Schmidt correlated states and distillation

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arxiv quant-ph/0204152 v2 pith:GBAOX6YS submitted 2002-04-26 quant-ph

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keywords statesentanglementcorrelatedentropymixedrelativeschmidtcalculate
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abstract

We show that a mixed state $\rho=\sum_{mn}a_{mn}|m> < n|$ can be realized by an ensemble of pure states $\{p_{k}, |\phi_{k} > \}$ where $|\phi_{k}>=\sum_{m}\sqrt{a_{mm}}e^{i\theta_{m}^{k}}|m>$. Employing this form, we discuss the relative entropy of entanglement of Schmidt correlated states. Also, we calculate the distillable entanglement of a class of mixed states.

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  1. Relative entropy of entanglement of Haar random states

    quant-ph 2026-08 accept novelty 7.0 of 10

    For a bipartite mixed state obtained by tracing out one subsystem of a tripartite Haar-random pure state, the relative entropy of entanglement equals log(d_A d_B / max(d_A,d_B,d_C)) plus an absolute constant, with hig...

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