Error-tradeoff and error-disturbance relations for incompatible quantum measurements
نویسندگان
چکیده
منابع مشابه
Error-tradeoff and error-disturbance relations for incompatible quantum measurements.
Heisenberg's uncertainty principle is one of the main tenets of quantum theory. Nevertheless, and despite its fundamental importance for our understanding of quantum foundations, there has been some confusion in its interpretation: Although Heisenberg's first argument was that the measurement of one observable on a quantum state necessarily disturbs another incompatible observable, standard unc...
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We formulate three new error disturbance relations, one of which is free from explicit dependence upon intrinsic fluctuations of observables. The first error-disturbance relation is tighter than the one provided by the Branciard inequality and the Ozawa inequality for some initial states. Other two error disturbance relations provide a tighter bound to Ozawa’s error disturbance relation and one...
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The indeterminacy of quantum mechanics was originally presented by Heisenberg through the tradeoff between the measuring error of the observable A and the consequential disturbance to the value of another observable B. This tradeoff now has become a popular interpretation of the uncertainty principle. However, the historic idea has never been exactly formulated previously and is recently called...
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In quantum physics, measurement error and disturbance were first naively thought to be simply constrained by the Heisenberg uncertainty relation. Later, more rigorous analysis showed that the error and disturbance satisfy more subtle inequalities. Several versions of universally valid errordisturbance relations (EDR) have already been obtained and experimentally verified in the regimes where na...
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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], ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2013
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1219331110