Hilbert projective metric on a gyrogroup of qubit density matrices

DOI10.1016/S0034-4877(15)30039-2zbMath1397.83004OpenAlexW2238036032MaRDI QIDQ261587

Sejong Kim, Jisu Park

Publication date: 24 March 2016

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(15)30039-2

zbMATH Keywords

Riemannian metricdensity matrixEinstein gyrogroupHilbert projective metricrapidity metric

Mathematics Subject Classification ID

Special relativity (83A05) Quantum measurement theory, state operations, state preparations (81P15) Classical or axiomatic geometry and physics (51P05)

Related Items (4)

Cardinal invariants in the quotient spaces of weakly topological groups ⋮ The first-countability in the quotient spaces of topological gyrogroups ⋮ Uniformities on strongly topological gyrogroups ⋮ Extensions of some topological properties in topological gyrogroups

Cites Work

• Unnamed Item
• Unit balls, Lorentz boosts, and hyperbolic geometry
• Riemannian geometry and matrix geometric means
• Hilbert's projective metric on Lorentz cones and Birkhoff formula for Lorentzian compressions
• Hilbert's metric and positive contraction mappings in a Banach space
• Application of Hilbert's projective metric on symmetric cones
• Hilbert's projective metric in quantum information theory
• Distances of qubit density matrices on Bloch sphere
• Quantum Computation and Quantum Information
• Extensions of Jentzsch's Theorem

This page was built for publication: Hilbert projective metric on a gyrogroup of qubit density matrices