RT Journal Article T1 Nonclassicality tests by classical bounds on the statistics of multiple outcomes A1 Luis Aina, Alfredo AB We derive simple practical tests revealing the quantum nature of states by the violation of classical upper bounds on the statistics of multiple outcomes of an observable. These criteria can be expressed in terms of the Kullback-Leibler divergence (or relative entropy). Nonclassicality tests for multiple outcomes can be satisfied by states that do not fulfill the corresponding single-outcome criteria. PB American Physical Society SN 1050-2947 YR 2010 FD 2010-08-18 LK https://hdl.handle.net/20.500.14352/44634 UL https://hdl.handle.net/20.500.14352/44634 LA eng NO ©2010 The American Physical Society. A. L. acknowledges Prof. Ph. Refregier and Dr. A. Rivas for their enlightening discussions. This work has been supported by Project No. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion, and by Project QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid. NO Comunidad de Madrid NO Ministerio de Ciencia e Innovación (MCINN), España DS Docta Complutense RD 4 abr 2025