Informationally complete joint measurements on finite quantum systems



: Carmeli C, Heinosaari T, Toigo A

Publisher: AMER PHYSICAL SOC

: 2012

: Physical Review A

: PHYSICAL REVIEW A

: PHYS REV A

: ARTN 012109

: 1

: 85

: 1

: 13

: 1050-2947

DOI: https://doi.org/10.1103/PhysRevA.85.012109

: https://research.utu.fi/converis/portal/detail/Publication/3689198


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.

Last updated on 2024-26-11 at 20:36