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Nonclassicality in phase-number uncertainty relations
Author(s) -
Paloma Matía-Hernando,
Alfredo Luis
Publication year - 2011
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.84.063829
Subject(s) - physics , phase (matter) , coherent states , statistical physics , quadrature (astronomy) , quantum mechanics , variance (accounting) , state (computer science) , quantum , optics , algorithm , mathematics , accounting , business
We show that there are nonclassical states with lesser joint fluctuations of phase and number than any classical state. This is rather paradoxical since one would expect classical coherent states to be always of minimum uncertainty. The same result is obtained when we replace phase by a phase-dependent field quadrature. Number and phase uncertainties are assessed using variance and Holevo relation

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