Isometries of quantum states

Abstract

This paper treats the isometries of metric spaces of quantum states. We consider two metrics on the set all quantum states, namely the Bures metric and the one which comes from the trace-norm. We describe all the corresponding (nonlinear) isometries and also present similar results concerning the space of all (non-normalized) density operators.

9 pages. To appear in J. Phys. A: Math. Gen

References in corpus (2)

• Fidelity preserving maps on density operators
• Stochastic Isometries in Quantum Mechanics

Cited by in corpus (5)

• Tingley's problem through the facial structure of operator algebras
• Quantum Information Encoding, Protection, and Correction from Trace-Norm Isometries
• Entropic and trace distance based measures of non-Markovianity
• Quantum and Fisher Information from the Husimi and Related Distributions
• The Mazur-Ulam property for commutative von Neumann algebras