Bounds on relative entropy of entanglement for multi-party systems
arXiv:quant-ph/0010080 · doi:10.1088/0305-4470/34/35/325
Abstract
We present upper and lower bounds to the relative entropy of entanglement of multi-party systems in terms of the bi-partite entanglements of formation and distillation and entropies of various subsystems. We point out implications of our results to the local reversible convertibility of multi-party pure states and discuss their physical basis in terms of deleting of information.
4 pages, no figures
References in corpus (6)
- Exact and Asymptotic Measures of Multipartite Pure State Entanglement
- Operator monotones, the reduction criterion and the relative entropy
- Classical information and distillable entanglement
- Tripartite entanglement and quantum relative entropy
- The Holevo bound and Landauer's principle
- On bound entanglement assisted distillation
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