A1 Refereed original research article in a scientific journal
Informationally complete joint measurements on finite quantum systems
Authors: Carmeli C, Heinosaari T, Toigo A
Publisher: AMER PHYSICAL SOC
Publication year: 2012
Journal: Physical Review A
Journal name in source: PHYSICAL REVIEW A
Journal acronym: PHYS REV A
Article number: ARTN 012109
Number in series: 1
Volume: 85
Issue: 1
Number of pages: 13
ISSN: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.85.012109
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/3689198
Abstract
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.
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