Quantum-state disturbance versus information gain: Uncertainty relations for quantum information
نویسندگان
چکیده
منابع مشابه
Information Gain vs. State Disturbance in Quantum Theory
The engine that powers quantum cryptography is the principle that there are no physical means for gathering information about the identity of a quantum system’s state (when it is known to be prepared in one of a set of nonorthogonal states) without disturbing the system in a statistically detectable way. This situation is often mistakenly described as a consequence of the “Heisenberg uncertaint...
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When discriminating between two pure quantum states, there exists a quantitative tradeoff between the information retrieved by the measurement and the disturbance caused on the unknown state. We derive the optimal tradeoff and provide the corresponding quantummeasurement. Such an optimal measurement smoothly interpolates between the two limiting cases of maximal information extraction and no me...
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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...
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There exists a precise tradeoff between the amount of information extracted from a quantum measurement and the amount of disturbance caused on the system, analogous to Heisenberg relations holding in the preparation procedure of a quantum state. The study of such a tradeoff is relevant for both foundation and its enormous relevance in practice, in the realm of quantum key distribution and quant...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1996
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.53.2038