RT Journal Article T1 Nonclassicality in phase by breaking classical bounds on statistics A1 Martín, Daniel A1 Luis Aina, Alfredo AB We derive upper bounds on the statistics of phase and phase difference that are satisfied by all classical states. They are obtained by finding the maximum projection of classical states on phase states. For a single-mode phase, meaningful bounds are obtained conditioned to a fixed mean number of photons. We also derive classical bounds for the projection on phase-coherent states, discussing their relation with phase-state bounds within the context of analytic representations. We find states with nonclassical phase properties disclosed by the violation of these classical bounds. These are quadrature and SU(2) squeezed states and phase-coherent states. PB American Physical Society SN 1050-2947 YR 2010 FD 2010-09-23 LK https://hdl.handle.net/20.500.14352/44610 UL https://hdl.handle.net/20.500.14352/44610 LA eng NO ©2010 The American Physical Society. A.L. acknowledges support from Project No. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion, and from Project No. QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid. NO Ministerio de Ciencia e Innovacion (MICINN), España NO Comunidad de Madrid DS Docta Complutense RD 18 abr 2025