A1 Refereed original research article in a scientific journal

Quantum measurements on finite dimensional systems: relabeling and mixing



Authors: Haapasalo E, Heinosaari T, Pellonpaa JP

Publisher: SPRINGER

Publication year: 2012

Journal: Quantum Information Processing

Journal name in source: QUANTUM INFORMATION PROCESSING

Journal acronym: QUANTUM INF PROCESS

Number in series: 6

Volume: 11

Issue: 6

First page : 1751

Last page: 1763

Number of pages: 13

ISSN: 1570-0755

DOI: https://doi.org/10.1007/s11128-011-0330-2

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/2781628


Abstract
Quantum measurements are mathematically described by positive operator valued measures (POVMs). 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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Last updated on 2024-26-11 at 22:59