On the convex characterisation of the set of unital quantum channels

DOI10.1088/1751-8121/acfddbarXiv2111.13705OpenAlexW3216296177MaRDI QIDQ6063381

Colin Wilmott, Unnamed Author

Publication date: 7 November 2023

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

Full work available at URL: https://arxiv.org/abs/2111.13705

zbMATH Keywords

quantum foundationsunital quantum channelsconvex characterisationquantum state space geometry

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Constrained dynamics, Dirac's theory of constraints (70H45) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19) Convexity properties of solutions to PDEs with constant coefficients (35E10) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum gates (81P65) Quantum channels, fidelity (81P47)

Cites Work

• Unnamed Item
• On the extreme points of quantum channels
• The essentially commutative dilations of dynamical semigroups on \(M_ n\)
• Completely positive linear maps on complex matrices
• On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras
• An analysis of completely-positive trace-preserving maps on \({\mathcal M}_{2}\)
• Extreme points and factorizability for new classes of unital quantum channels
• Unital quantum channels - convex structure and revivals of Birkhoff's theorem
• Quantum Computation and Quantum Information
• Smooth manifold structure for extreme channels
• Counterexample to an additivity conjecture for output purity of quantum channels
• Quantum circuit design for accurate simulation of qudit channels
• Geometry of Quantum States