Qualitative noise-disturbance relation for quantum measurements



: Heinosaari T, Miyadera T

Publisher: AMER PHYSICAL SOC

: 2013

: Physical Review A

: PHYSICAL REVIEW A

: PHYS REV A

: ARTN 042117

: 4

: 88

: 4

: 7

: 1050-2947

DOI: https://doi.org/10.1103/PhysRevA.88.042117


The inherent connection between noise and disturbance is one of the most fundamental features of quantum measurements. In the two well-known extreme cases a measurement either makes no disturbance but then has to be totally noisy or is as accurate as possible but then has to disturb so much that all subsequent measurements become redundant. Most of the measurements are, however, somewhere between these two extremes. We derive a structural connection between certain order relations defined on observables and channels, and we explain how this connection properly explains the trade-off between noise and disturbance. A link to a quantitative noise-disturbance relation is demonstrated.



Last updated on 2024-26-11 at 20:53