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Heisenberg Uncertainty Relation for Coarse-grained Observables

2011/10/06 by Lukasz Rudnicki, Stephen P. Walborn, Fabricio Toscano · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1209/0295-5075/97/38003

published as Europhys. Lett. 97, 38003 (2012)

arxiv created 2011/10/06 · arxiv updated 2015/05/29

Abstract

We ask which is the best strategy to reveal uncertainty relations between comple- mentary observables of a continuous variable system for coarse-grained measurements. This leads to the derivation of new uncertainty relations for coarse-grained measurements that are always valid, even for detectors with low precision. These relations should be particularly relevant in experimental demonstrations of squeezing in quantum optics, quantum state reconstruction, and the development of trustworthy entanglement criteria.

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