Entanglement in bipartite X-states: Analytical results for the volume of states with positive partial transpose
Yaqing Xy Wang, J\'ozsef Zsolt Bern\'ad
TL;DR
This paper derives an analytical formula for the volume ratio of bipartite X-states with positive partial transpose to all X-states, applicable to arbitrary system sizes under the Hilbert-Schmidt measure.
Contribution
It provides the first explicit analytical expression for the volume ratio of PPT X-states in bipartite systems of any size.
Findings
Analytical volume ratio formula for PPT X-states
Applicable to arbitrary bipartite system dimensions
Derived with respect to the Hilbert-Schmidt measure
Abstract
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 -bipartite systems and the volume expressions are derived with respect to the Hilbert-Schmidt measure.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Computing Algorithms and Architecture · Quantum Information and Cryptography