Distinguishing quantum measurements of observables in terms of state transformers

Details Distinguishing quantum measurements of observables in terms of state transformers Distinguishing quantum measurements of observables in terms of state transformers

2004-03-13

arxiv.org/abs/quant-ph/0403101v1

Physics

Quantum Physics

13 pages, Latex2e. Written for the Am. J. Phys.; after three resubmissions, when both referees were satisfied,it was rejected.

Scientific paper

The modern framework of state transformers, i. e., the first Kraus representation of quantum measurement, is introduced and related both to the known textbook concepts and to measurement-interaction evolution (the second Kraus representation). In this framework the known kinds of measurements of ordinary (as distinct from generalized) observables are distinguished by necessary and sufficient conditions. Thus, repeatable,nonrepeatable, and ideal measurements are characterized both algebraically and geometrically in terms of polar factors of state transformers.

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