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Separability of Mixed States: Necessary and Sufficient Conditions

6 Pith papers cite this work. Polarity classification is still indexing.

6 Pith papers citing it
abstract

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.

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UNVERDICTED 6

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Separability and entanglement of resonating valence-bond states

cond-mat.str-el · 2022-12-22 · unverdicted · novelty 6.0

Proves exact separability for disconnected subsystems in dimer RK states and exponentially suppressed entanglement for RVB states on arbitrary lattices, with negativity expressed via partition functions.

Separability from Multipartite Measures

quant-ph · 2026-05-03 · unverdicted · novelty 5.0 · 2 refs

Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.

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