Distances of qubit density matrices on Bloch sphere

DOI10.1063/1.3653483zbMath1272.81031arXiv1109.6564OpenAlexW2130819653MaRDI QIDQ2851720

Sejong Kim

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1109.6564

zbMATH Keywords

Einstein gyrogroupBloch ball

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special relativity (83A05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ On algebraic endomorphisms of the Einstein gyrogroup ⋮ Einstein gyrogroup as a B-loop ⋮ Logarithmic mean of positive invertible operators ⋮ On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra ⋮ On endomorphisms of the Einstein gyrogroup in arbitrary dimension ⋮ Factorizations of invertible density matrices ⋮ Operator inequalities and gyrolines of the weighted geometric means ⋮ Hilbert projective metric on a gyrogroup of qubit density matrices

Cites Work

• Riemannian geometry and matrix geometric means
• On the notion of gyrogroup
• Physical applications of homogeneous balls. With the assistance of Tzvi Scarr
• Spaces of Holomorphic Functions in the Unit Ball

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