Quantum measurements on finite dimensional systems: relabeling and mixing

Details Quantum measurements on finite dimensional systems: relabeling and mixing Quantum measurements on finite dimensional systems: relabeling and mixing

2011-04-26

arxiv.org/abs/1104.4886v2

Physics

Quantum Physics

one new section in v2

Scientific paper

Concentrating on finite dimensional systems, we show that one can limit to extremal rank-1 POVMs if two simple procedures of mixing and relabeling are permitted. We demonstrate that any finite outcome POVM can be obtained from extremal rank-1 POVMs with these two procedures. In particular, extremal POVMs with higher rank are just relabelings of extremal rank-1 POVMs and their structure is therefore clarified.

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