Preserving the measure of compatibility between quantum states

Abstract

In this paper after defining the abstract concept of compatibility-like functions on quantum states, we prove that every bijective transformation on the set of all states which preserves such a function is implemented by an either unitary or antiunitary operator.

11 pages, submitted for publication

References in corpus (4)

• Effects as functions on projective Hilbert space
• How much state assignments can differ
• Characterizations of the automorphisms of Hilbert space effect algebras
• Fidelity preserving maps on density operators