Geometry of uncertainty relations for linear combinations of position and momentum
نویسندگان
چکیده
منابع مشابه
Measurement Uncertainty Relations for Position and Momentum: Relative Entropy Formulation
Heisenberg’s uncertainty principle has recently led to general measurement uncertainty relations for quantum systems: incompatible observables can be measured jointly or in sequence only with some unavoidable approximation, which can be quantified in various ways. The relative entropy is the natural theoretical quantifier of the information loss when a ‘true’ probability distribution is replace...
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Memory Fabian Furrer,1 Mario Berta,2, 3 Marco Tomamichel,4, 5 Volkher B. Scholz,6 and Matthias Christandl7, 3 Department of Physics, Graduate School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, Japan, 113-0033. Institute for Quantum Information and Matter, Caltech, Pasadena, CA 91125 Institute for Theoretical Physics, ETH Zurich, 8093 Zürich. School of Physics, The University...
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چکیده ندارد.
15 صفحه اولThe uncertainty relation for joint measurement of position and momentum
We prove an uncertainty relation, which imposes a bound on any joint measurement of position and momentum. It is of the form (∆P )(∆Q) ≥ C~, where the ‘uncertainties’ quantify the difference between the marginals of the joint measurement and the corresponding ideal observable. Applied to an approximate position measurement followed by a momentum measurement, the uncertainties become the precisi...
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We extend the canonical commutation relations (CCR) in quantum mechanics to the case where appropriate dynamical variables are angular momenta and angles. It is found that projection operators of the resultant Weyl algebra provide us with a new and powerful way of characterizing minimum uncertainty states, including those obtained by Carruthers and Nieto. The uniqueness theorem of Schrodinger r...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2017
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aa9cfc