Isometries of quantum states

DOI10.1088/0305-4470/36/1/318zbMath1047.81017arXivmath/0211221OpenAlexW2018336966MaRDI QIDQ4465785

Werner Timmermann, Lajos Molnár

Publication date: 9 June 2004

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

Full work available at URL: https://arxiv.org/abs/math/0211221

Mathematics Subject Classification ID

Quantum computation (81P68) Applications of operator theory in the physical sciences (47N50) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (15)

Transformations on the sets of states and density operators ⋮ Characterizing projections among positive operators in the unit sphere ⋮ On the surjectivity of generalized isometries on the positive definite cone of matrices ⋮ On extension of norm-additive maps between the positive unit spheres of \(\ell_q (\ell_p)\) ⋮ Preservers for the \(p\)-norm of linear combinations of positive operators ⋮ Nonlinear isometries on Schatten-\(p\) class in atomic nest algebras ⋮ Maps on states preserving the relative entropy ⋮ Isometries of the spaces of bounded frame functions ⋮ On a variant of Tingley's problem for some function spaces ⋮ On the unit sphere of positive operators ⋮ Tingley's problem through the facial structure of operator algebras ⋮ Bures isometries between density spaces of \(C^{\ast}\)-algebras ⋮ The Mazur–Ulam property for commutative von Neumann algebras ⋮ Quantum and Fisher information from the Husimi and related distributions ⋮ Isometries and relative entropy preserving maps on density operators

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