Qualitative Noise-Disturbance Relation for Quantum Measurements
arXiv:1303.5530 · doi: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, something between these two extremes.We derive a structural relation between observables and channels that properly explains the trade-off between noise and disturbance.
update to match published version
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- Amount of quantum coherence needed for measurement incompatibility
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- Measurement sharpness and disturbance tradeoff
- Noise-disturbance relation and the Galois connection of quantum measurements
- Optimal covariant quantum measurements
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- Postponing the choice: advantage of deferred measurements in quantum information processing
- Information leak and incompatibility of physical context: A modified approach
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