Separability Criterion for Multi-Mode Gaussian States
K. V. S. Shiv Chaitanya, Sibasish Ghosh, V. Srinivasan
TL;DR
This paper introduces a new separability criterion for multi-mode Gaussian states based on the Marchenko-Pastur theorem from random matrix theory, providing a necessary and sufficient condition for their separability.
Contribution
It applies the Marchenko-Pastur theorem to establish a novel, exact criterion for the separability of multi-mode Gaussian states.
Findings
Marchenko-Pastur theorem is necessary and sufficient for separability
New criterion simplifies analysis of multi-mode Gaussian states
Provides a rigorous mathematical basis for state separability
Abstract
In this paper, we give Separability criterion for the multi-mode Gaussian states using the Marchenko-Pastur theorem. We show that the Marchenko-Pastur theorem from random matrix theory as necessary and sufficient condition for separability of multimode Gaussian states.
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Taxonomy
TopicsSpectroscopy and Quantum Chemical Studies · Quantum optics and atomic interactions