Moment-based evidence for simple rational-valued Hilbert–Schmidt generic 2 × 2 separability probabilities

DOI10.1088/1751-8113/45/9/095305zbMath1241.81033arXiv1109.2560OpenAlexW3105856633MaRDI QIDQ2879937

Charles F. Dunkl, Paul B. Slater

Publication date: 10 April 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2560

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Quantum coherence, entanglement, quantum correlations (81P40)

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Numerical computations of separability probabilities ⋮ Formulas for rational-valued separability probabilities of random induced generalized two-qubit states ⋮ Entanglement in bipartite quantum systems: Euclidean volume ratios and detectability by Bell inequalities ⋮ Separability probability formulas and their proofs for generalized two-qubit X-matrices endowed with Hilbert–Schmidt and induced measures ⋮ Invariance of bipartite separability and PPT-probabilities over Casimir invariants of reduced states ⋮ Master Lovas-Andai and equivalent formulas verifying the \(\frac{8}{33}\) two-qubit Hilbert-Schmidt separability probability and companion rational-valued conjectures ⋮ Generalized two-qubit whole and half Hilbert-Schmidt separability probabilities ⋮ Invariance of separability probability over reduced states in 4 × 4 bipartite systems ⋮ Extensions of generalized two-qubit separability probability analyses to higher dimensions, additional measures and new methodologies ⋮ Volume of the set of locally diagonalizable bipartite states ⋮ Numerical and exact analyses of Bures and Hilbert-Schmidt separability and PPT probabilities

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