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• W3100158364 endingPage "454" @default.
• W3100158364 startingPage "454" @default.
• W3100158364 abstract "Uncertainty relations involving incompatible observables are one of the cornerstones of quantum mechanics. Aside from their fundamental significance, they play an important role in practical applications, such as detection of quantum correlations and security requirements in quantum cryptography. In continuous variable systems, the spectra of the relevant observables form a continuum and this necessitates the coarse graining of measurements. However, these coarse-grained observables do not necessarily obey the same uncertainty relations as the original ones, a fact that can lead to false results when considering applications. That is, one cannot naively replace the original observables in the uncertainty relation for the coarse-grained observables and expect consistent results. As such, several uncertainty relations that are specifically designed for coarse-grained observables have been developed. In recognition of the 90th anniversary of the seminal Heisenberg uncertainty relation, celebrated last year, and all the subsequent work since then, here we give a review of the state of the art of coarse-grained uncertainty relations in continuous variable quantum systems, as well as their applications to fundamental quantum physics and quantum information tasks. Our review is meant to be balanced in its content, since both theoretical considerations and experimental perspectives are put on an equal footing." @default.
• W3100158364 created "2020-11-23" @default.
• W3100158364 creator A5004098224 @default.
• W3100158364 creator A5026829001 @default.
• W3100158364 creator A5063905190 @default.
• W3100158364 creator A5070020238 @default.
• W3100158364 date "2018-06-10" @default.
• W3100158364 modified "2023-10-04" @default.
• W3100158364 title "Uncertainty Relations for Coarse–Grained Measurements: An Overview" @default.
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