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Informationally complete joint measurements on finite quantum systems
Tekijät: Carmeli C, Heinosaari T, Toigo A
Kustantaja: AMER PHYSICAL SOC
Julkaisuvuosi: 2012
Journal: Physical Review A
Tietokannassa oleva lehden nimi: PHYSICAL REVIEW A
Lehden akronyymi: PHYS REV A
Artikkelin numero: ARTN 012109
Numero sarjassa: 1
Vuosikerta: 85
Numero: 1
Sivujen määrä: 13
ISSN: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.85.012109
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/3689198
Tiivistelmä
We show that there are informationally complete joint measurements of two conjugated observables on a finite quantum system, meaning that they enable the identification of all quantum states from their measurement outcome statistics. We further demonstrate that it is possible to implement a joint observable as a sequential measurement. If we require minimal noise in the joint measurement, then the joint observable is unique. If d is odd, then this observable is informationally complete. But if d is even, then the joint observable is not informationally complete, and one has to allow more noise in order to obtain informational completeness.
We show that there are informationally complete joint measurements of two conjugated observables on a finite quantum system, meaning that they enable the identification of all quantum states from their measurement outcome statistics. We further demonstrate that it is possible to implement a joint observable as a sequential measurement. If we require minimal noise in the joint measurement, then the joint observable is unique. If d is odd, then this observable is informationally complete. But if d is even, then the joint observable is not informationally complete, and one has to allow more noise in order to obtain informational completeness.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
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