Qualitative noise-disturbance relation for quantum measurements
نویسندگان
چکیده
منابع مشابه
Uncertainty Relations for Noise and Disturbance in Generalized Quantum Measurements
Heisenberg’s uncertainty relation for measurement noise and disturbance states that any position measurement with noise ǫ brings the momentum disturbance not less than h̄/2ǫ. This relation holds only for restricted class of measuring apparatuses. Here, Heisenberg’s uncertainty relation is generalized to a relation that holds for all the possible quantum measurements, from which conditions are ob...
متن کاملNoise and disturbance in quantum measurements: an information-theoretic approach.
We introduce information-theoretic definitions for noise and disturbance in quantum measurements and prove a state-independent noise-disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under the relabelling of outcomes and allow for the possibility of using qua...
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We consider three criteria for describing non-disturbance between quantum measurements. While previous discussions of these criteria considered sharp measurements, we shall treat more general measurements that may be unsharp (or fuzzy). It has been shown that in the sharp case, the three criteria are equivalent to compatibility of the measurements. We shall show that only the third criterion is...
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Extraction of information from a quantum system cannot always be without feedback. This was clear since the early days of quantum mechanics: It was the spirit of the original form of the Heisenberg uncertainty “principle”, as derived from the gedanken-experiment of the Heisenberg microscope [1]. Since then, much more refined descriptions of allowed quantum measurements have been put forth [2], ...
متن کاملComment on “Noise and Disturbance in Quantum Measurements: An Information-Theoretic Approach”
In their interesting paper [1], Buscemi et al derive a state-independent entropic trade-off relation for the noise (approximation error) in the measurement of one observable and the necessary disturbance imparted thereby on another observable. We appreciate that this work is very much in the spirit of our recent letter [2], where we have derived two variants of error-disturbance relations for p...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2013
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.88.042117