Heisenberg uncertainty relation for coarse-grained observables
Center for Theoretical Physics, Polish Academy of Sciences - Aleja Lotników 32/46, PL-02-668 Warsaw, Poland, EU
2 Instituto de Física, Universidade Federal do Rio de Janeiro - Caixa Postal 68528, Rio de Janeiro, RJ 21941-972, Brazil
Accepted: 5 January 2012
We ask which is the best strategy to reveal uncertainty relations between complementary 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.
PACS: 89.70.Cf – Entropy and other measures of information / 03.65.Ca – Formalism / 03.65.Wj – State reconstruction, quantum tomography
© EPLA, 2012