Entanglement in bipartite X-states: Analytical results for the volume of states with positive partial transpose

Fuente: arXiv
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Autori principali: Wang, Yaqing Xy, Bernád, József Zsolt
Natura: Preprint
Pubblicazione: 2024
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author Wang, Yaqing Xy
Bernád, József Zsolt
author_facet Wang, Yaqing Xy
Bernád, József Zsolt
contents We provide an analytical formula for the volume ratio between bipartite X-states with positive partial transpose and all bipartite X-states. The result applies to arbitrary $m \times n$-bipartite systems and the volume expressions are derived with respect to the Hilbert-Schmidt measure.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20979
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Entanglement in bipartite X-states: Analytical results for the volume of states with positive partial transpose
Wang, Yaqing Xy
Bernád, József Zsolt
Quantum Physics
Mathematical Physics
81P16, 81P40
We provide an analytical formula for the volume ratio between bipartite X-states with positive partial transpose and all bipartite X-states. The result applies to arbitrary $m \times n$-bipartite systems and the volume expressions are derived with respect to the Hilbert-Schmidt measure.
title Entanglement in bipartite X-states: Analytical results for the volume of states with positive partial transpose
topic Quantum Physics
Mathematical Physics
81P16, 81P40
url https://arxiv.org/abs/2412.20979