R\'{e}nyi and von Neumann entropies for various Bipartite Gaussian States
DaeKil Park
TL;DR
This paper analytically derives the Rényi and von Neumann entropies for bipartite Gaussian states, explores tripartite purification under specific conditions, and briefly discusses extensions to non-Gaussian states.
Contribution
It provides analytical formulas for entropies of bipartite Gaussian states and discusses tripartite purification, advancing understanding of quantum correlations in these systems.
Findings
Analytical expressions for Rényi and von Neumann entropies of bipartite Gaussian states.
Discussion on tripartite purification under certain conditions.
Brief considerations on extending results to non-Gaussian states.
Abstract
The R\'{e}nyi and von Neumann entropies of various bipartite Gaussian states are derived analytically. We also discuss on the tripartite purification for the bipartite states when some particular conditions hold. The generalization to non-Gaussian states is briefly discussed.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum many-body systems