Master Lovas-Andai and equivalent formulas verifying the \(\frac{8}{33}\) two-qubit Hilbert-Schmidt separability probability and companion rational-valued conjectures
type: Item
instance of: scholarly article
title: Master Lovas-Andai and equivalent formulas verifying the \(\frac{8}{33}\) two-qubit Hilbert-Schmidt separability probability and companion rational-valued conjectures
author: Paul B. Slater
published in: Quantum Information Processing
publication date: 2018-08-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1701.01973
Mathematics Subject Classification ID: 81P40
Mathematics Subject Classification ID: 81S22
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 15B52
Mathematics Subject Classification ID: 81V80
Mathematics Subject Classification ID: 70F05
Mathematics Subject Classification ID: 46L07
Mathematics Subject Classification ID: 81P42
Mathematics Subject Classification ID: 81P16
zbMATH DE Number: 6914340
zbMATH Keywords: two-qubits
zbMATH Keywords: separability probabilities
zbMATH Keywords: Hilbert-Schmidt measure
zbMATH Keywords: random matrices
zbMATH Keywords: quaternions
zbMATH Keywords: X-states
MaRDI profile type: Publication
OpenAlex ID: W2788809753
Wikidata QID: Q122877965
cites work: Invariance of separability probability over reduced states in 4 × 4 bipartite systems
cites work: Dyson indices and Hilbert–Schmidt separability functions and probabilities
cites work: Extended studies of separability functions and probabilities and the relevance of Dyson indices
cites work: Eigenvalues, separability and absolute separability of two-qubit states
cites work: Ratios of maximal concurrence-parameterized separability functions, and generalized Peres–Horodecki conditions
cites work: Matrix models for beta ensembles
cites work: Cylindrical algebraic decomposition using local projections
cites work: A concise formula for generalized two-qubit Hilbert-Schmidt separability probabilities
cites work: A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
cites work: Numerical computations of separability probabilities
cites work: Moment-based evidence for simple rational-valued Hilbert-Schmidt generic \(2 \times 2\) separability probabilities
cites work: Monte Carlo sampling from the quantum state space. I
cites work: Topology of entanglement evolution of two qubits
cites work: On the geometric probability of entangled mixed states
cites work: Formulas for rational-valued separability probabilities of random induced generalized two-qubit states
cites work: Empirical Stochastic Modeling of Multipath Polarizations in Indoor Propagation Scenarios
cites work: Generating random density matrices
cites work: On the correlations between quantum entanglement and \(q\)-information measures
cites work: Volumes of conditioned bipartite state spaces
cites work: Invariance of bipartite separability and PPT-probabilities over Casimir invariants of reduced states
cites work: Volume of the quantum mechanical state space
cites work: Implementation and tests of low-discrepancy sequences
cites work: Separability Criterion for Density Matrices
cites work: Separability of mixed states: necessary and sufficient conditions.
cites work: Induced measures in the space of mixed quantum states
cites work: Semidefinite descriptions of low-dimensional separable matrix cones
cites work: Compatible Conditional Distributions
cites work: Q4272793
cites work: Random Bures mixed states and the distribution of their purity
cites work: Sampling Uniformly From the Set of Positive Definite Matrices With Trace Constraint
cites work: A structure-preserving algorithm for the quaternion Cholesky decomposition
cites work: Entanglement universality of two-qubit X-states
cites work: The spectrum and separability of mixed two-qubit X-states
cites work: Separability probability formulas and their proofs for generalized two-qubit X-matrices endowed with Hilbert–Schmidt and induced measures
cites work: Functions operating on positive semidefinite quaternionic matrices
cites work: A fast approach to creative telescoping
cites work: Entanglement measures and the Hilbert-Schmidt distance
cites work: Explicit formulae for the Bures metric
cites work: Creative Telescoping for Holonomic Functions
cites work: Geometry of Quantum States
DOI: 10.1007/S11128-018-1854-5
description: scientific article; zbMATH DE number 6914340