A1 Refereed original research article in a scientific journal
Qualitative noise-disturbance relation for quantum measurements
Authors: Heinosaari T, Miyadera T
Publisher: AMER PHYSICAL SOC
Publication year: 2013
Journal: Physical Review A
Journal name in source: PHYSICAL REVIEW A
Journal acronym: PHYS REV A
Article number: ARTN 042117
Number in series: 4
Volume: 88
Issue: 4
Number of pages: 7
ISSN: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.88.042117
Abstract
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.
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.
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