Formulas for rational-valued separability probabilities of random induced generalized two-qubit states

DOI10.1155/2015/621353zbMath1337.81027arXiv1411.2561OpenAlexW3099201560WikidataQ59102524 ScholiaQ59102524MaRDI QIDQ277883

Charles F. Dunkl, Paul B. Slater

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2561

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (6)

Formulas for generalized two-qubit separability probabilities ⋮ 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 ⋮ Convex set of quantum states with positive partial transpose analysed by hit and run algorithm ⋮ Extensions of generalized two-qubit separability probability analyses to higher dimensions, additional measures and new methodologies

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Entanglement universality of two-qubit X-states
• Separability of mixed states: necessary and sufficient conditions.
• Numerical computations of separability probabilities
• Generalized two-qubit whole and half Hilbert-Schmidt separability probabilities
• Induced measures in the space of mixed quantum states
• A concise formula for generalized two-qubit Hilbert–Schmidt separability probabilities
• Moment-based evidence for simple rational-valued Hilbert–Schmidt generic 2 × 2 separability probabilities
• Separability probability formulas and their proofs for generalized two-qubit X-matrices endowed with Hilbert–Schmidt and induced measures
• Hilbert–Schmidt volume of the set of mixed quantum states
• Separability Criterion for Density Matrices
• Matrix models for beta ensembles
• Volumes of conditioned bipartite state spaces
• Geometry of Quantum States
• Orthogonal Polynomials of Several Variables
• Entanglement Thresholds for Random Induced States

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