Fidelity preserving maps on density operators

Details Fidelity preserving maps on density operators Fidelity preserving maps on density operators

2001-08-08

arxiv.org/abs/math/0108060v2

Mathematics

Operator Algebras

This is corrected version of the paper math.OA/0108060. The paper has already appeared in ROMP (vol. 48 (2001), 299-303)

Scientific paper

10.1016/S0034-4877(01)80091-4

We prove that any bijective fidelity preserving transformation on the set of
all density operators on a Hilbert space is implemented by an either unitary or
antiunitary operator on the underlying Hilbert space.

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