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Quantum measurements on finite dimensional systems: relabeling and mixing




TekijätHaapasalo E, Heinosaari T, Pellonpaa JP

KustantajaSPRINGER

Julkaisuvuosi2012

JournalQuantum Information Processing

Tietokannassa oleva lehden nimiQUANTUM INFORMATION PROCESSING

Lehden akronyymiQUANTUM INF PROCESS

Numero sarjassa6

Vuosikerta11

Numero6

Aloitussivu1751

Lopetussivu1763

Sivujen määrä13

ISSN1570-0755

DOIhttps://doi.org/10.1007/s11128-011-0330-2

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/2781628


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.

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Last updated on 2024-26-11 at 22:59