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Separability Properties of Three-mode Gaussian States

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abstract

We derive a necessary and sufficient condition for the separability of tripartite three mode Gaussian states, that is easy to check for any such state. We give a classification of the separability properties of those systems and show how to determine for any state to which class it belongs. We show that there exist genuinely tripartite bound entangled states and point out how to construct and prepare such states.

fields

quant-ph 1

years

2026 1

verdicts

UNVERDICTED 1

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  • On the existence of fully inseparable biseparable Gaussian states quant-ph · 2026-05-27 · unverdicted · none · ref 27 · internal anchor

    Numerical evidence from projections and witnesses on specific Gaussian families leads to the conjecture that full inseparability implies genuine multipartite entanglement for all Gaussian states.