Quantum measurements on finite dimensional systems: relabeling and mixing
Pellonpaa JP; Heinosaari T; Haapasalo E
Quantum measurements on finite dimensional systems: relabeling and mixing
Pellonpaa JP
Heinosaari T
Haapasalo E
SPRINGER
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021042714839
https://urn.fi/URN:NBN:fi-fe2021042714839
Tiivistelmä
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.
Kokoelmat
- Rinnakkaistallenteet [19207]