arXiv subjects

Michal Horodecki

Publications and source records attributed to Michal Horodecki.

110 records · Page 7Linked to original sources

arXiv1996

Separability of Mixed States: Necessary and Sufficient Conditions

We provide necessary and sufficient conditions for separability of mixed states. As a result we obtain a simple criterion of separability for $2\times2$ and $2\times3$ systems. Here, the positivity of the partial transposition of a state is necessary and sufficient for its separability. However, it is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.

quant-ph↗

arXiv1996

Teleportation, Bell's Inequalities and Inseparability

Relations between teleportation, Bell's inequalities and inseparability are investigated. It is shown that any mixed two spin-$1\over2$ state which violates the Bell-CHSH inequality is useful for teleportation. The result is extended to any Bell's inequalities constructed of the expectation values of products of spin operators. It is also shown that there exist inseparable states which are not useful for teleportation within the standard scheme.

quant-ph↗