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arXiv:quant-ph/0307171 · Physical Review A

Separability conditions from entropic uncertainty relations

Vittorio Giovannetti

Published Jul 8, 2004• 106 citations
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Abstract

We derive a collection of separability conditions for bipartite systems of dimension $d\ifmmode\times\else\texttimes\fi{}d$ which is based on the entropic version of the uncertainty relations. A detailed analysis of the two-qubit case is given by comparing the new separability conditions with existing criteria.

DOI
10.1103/physreva.70.012102

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We derive a collection of separability conditions for bipartite systems of dimension d\ifmmode×\else\texttimes\fidd\ifmmode\times\else\texttimes\fi{}dd\ifmmode×\else\texttimes\fid which is based on the entropic version of the uncertainty relations. A detailed analysis of the two-qubit case is given by comparing the new separability conditions with existing criteria.