Polytope compatibility—From quantum measurements to magic squares

DOI10.1063/5.0165424arXiv2304.10920OpenAlexW4390063614MaRDI QIDQ6142801

Andreas Bluhm, Simon Schmidt, Ion Nechita

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2304.10920

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Expressing combinatorial optimization problems by linear programs
• A characterization of state spaces of orthomodular lattices
• Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function
• Convexity of the joint numerical range: Topological and differential geometric viewpoints.
• Extreme points of matrix convex sets, free spectrahedra, and dilation theory
• Minimal and maximal matrix convex sets
• Entangleability of cones
• Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms
• Complex free spectrahedra, absolute extreme points, and dilations
• Joint numerical ranges and commutativity of matrices
• A combinatorial approach to nonlocality and contextuality
• Approximation of convex sets by polytopes
• A note on non-commutative polytopes and polyhedra
• An invitation to quantum incompatibility
• Joint measurability of quantum effects and the matrix diamond
• The Theory of Quantum Information
• Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps
• Convexity of the Joint Numerical Range
• Matrix range characterizations of operator system properties
• Compatibility of Quantum Measurements and Inclusion Constants for the Matrix Jewel
• Quantum magic squares: Dilations and their limitations
• Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization
• Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions
• A tensor norm approach to quantum compatibility