Mutually Unbiased Bases and Bound Entanglement
arXiv:1309.2271 · doi:10.1088/0031-8949/2014/T160/014017
Abstract
In this contribution we relate two different key concepts: mutually unbiased bases (MUBs) and entanglement; in particular we focus on bound entanglement, i.e. highly mixed states which cannot be distilled by local operations and classical communications. For a certain class of states --for which the state-space forms a "magic" simplex-- we analyze the set of bound entangled states detected by the MUB criterion for different dimensions d and number of particles n. We find that the geometry is similar for different d and n, consequently, the MUB criterion opens possibilities to investigate the typicality of PPT-bound and multipartite bound entanglement deeper and provides a simple experimentally feasible tool to detect bound entanglement.
7 pages, 9 figures
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- Block-Circulant Complex Hadamard Matrices
- On the state space structure of tripartite quantum systems