Separable states and the SPA of a positive map
Erling Stormer
TL;DR
This paper presents a necessary condition for state separability, applies it to the SPA of an optimal positive map, and shows that SPA need not be a density operator of a separable state.
Contribution
It introduces a new separability condition and demonstrates that SPA of an optimal positive map can be non-separable, challenging previous assumptions.
Findings
SPA need not be a density operator of a separable state
A necessary condition for state separability is proposed
Application to SPA of an optimal positive map
Abstract
We introduce a nessecary condition for a state to be separable and apply this condition to the SPA of an optimal ositive map and give a proof of the fact that the SPA need not be the density ooperator for a separable state.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Mathematical Dynamics and Fractals