RT Journal Article T1 Extremal states for photon number and quadratures as gauges for nonclassicality A1 Hradil, Z. A1 Řeháček, J. A1 Hoz Iglesias, Pablo de la A1 Leuchs, Gerd A1 Sánchez Soto, Luis Lorenzo AB Rotated quadratures carry the phase-dependent information of the electromagnetic field, so they are somehow conjugate to the photon number. We analyze this noncanonical pair, finding an exact uncertainty relation, as well as a couple of weaker inequalities obtained by relaxing some restrictions of the problem. We also find the intelligent states saturating that relation and complete their characterization by considering extra constraints on the second-order moments of the variables involved. Using these moments, we construct performance measures tailored to diagnose photon-added and Schrodinger-cat-like states, among others. PB American Physical Society SN 1050-2947 YR 2015 FD 2015-04-27 LK https://hdl.handle.net/20.500.14352/24033 UL https://hdl.handle.net/20.500.14352/24033 LA eng NO ©2015 American Physical Society. We thank G. Toth, H. de Guise, and B.-G. Englert for fruitful discussions. Z.H. and J.R. are thankful for the financial assistance of the Grant Agency of the Czech Republic (Grant No. 15-031945) and the IGA Project of the Palacky University (Grant No. PrF_2015_002). G.L. is partially funded by EU FP7 (Grant No. Q-ESSENCE). Finally, P.H. and L.L.S.-S. acknowledge the support from the Spanish MINECO (Grant No. FIS2011-26786) and UCM-Banco Santander Program (Grant No. GR3/14). NO Unión Europea. FP7 NO Ministerio de Economía y Competitividad (MINECO), España NO Grant Agency of the Czech Republic NO IGA Project of the Palacky University NO Universidad Complutense de Madrid (UCM) NO Banco Santander Central Hispano (BSCH) DS Docta Complutense RD 10 abr 2025