Generalized entropic uncertainty relations
- 21 March 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (12) , 1103-1106
- https://doi.org/10.1103/physrevlett.60.1103
Abstract
A new class of uncertainty relations is derived for pairs of observables in a finite-dimensional Hilbert space which do not have any common eigenvector. This class contains an ‘‘entropic’’ uncertainty relation which improves a previous result of Deutsch and confirms a recent conjecture by Kraus. Some comments are made on the extension of these relations to the case where the Hilbert space is infinite dimensional.Keywords
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