Quantum channels with quantum group symmetry

DOI10.1007/s00220-021-04283-9zbMath1487.81029arXiv2007.03901OpenAlexW4205916871MaRDI QIDQ2113464

Hun Hee Lee, Sang-Gyun Youn

Publication date: 14 March 2022

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

Full work available at URL: https://arxiv.org/abs/2007.03901

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum channels, fidelity (81P47)

Related Items (1)

Irreducibly SU(2)-covariant quantum channels of low rank

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the second-order asymptotics for entanglement-assisted communication
• Fundamentals of quantum information theory
• On the decomposition rules of tensor products of the representations of the classical Weyl groups
• Complementarity and additivity for covariant channels
• Compact matrix pseudogroups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Proof of an entropy conjecture of Wehrl
• Quantum symmetry groups of finite spaces
• Symmetries of a generic coaction
• Proof of an entropy conjecture for Bloch coherent spin states and its generalizations
• Temperley-Lieb quantum channels
• On a sufficient condition for additivity in quantum information theory
• Unital quantum channels - convex structure and revivals of Birkhoff's theorem
• Highly entangled, non-random subspaces of tensor products from quantum groups
• An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond
• A Group Theoretic Approach to Quantum Information
• Integration over the quantum diagonal subgroup and associated Fourier-like algebras
• The extreme points of SU(2)-irreducibly covariant channels
• Operator biprojectivity of compact quantum groups
• Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators
• MODELS FOR THE IRREDUCIBLE REPRESENTATION OF A HEISENBERG GROUP
• Counterexample to an additivity conjecture for output purity of quantum channels
• Converse Bounds for Private Communication Over Quantum Channels
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Structure of irreducibly covariant quantum channels for finite groups
• On the additivity conjecture in quantum information theory

This page was built for publication: Quantum channels with quantum group symmetry