RT Journal Article T1 Alternative measures of uncertainty in quantum metrology: contradictions and limits A1 Luis Aina, Alfredo A1 Rodil, Alfonso AB We examine a family of intrinsic performance measures in terms of probability distributions that generalize Hellinger distance and Fisher information. They are applied to quantum metrology to assess the uncertainty in the detection of minute changes of physical quantities. We show that different measures lead to contradictory conclusions, including the possibility of arbitrarily small uncertainty for fixed resources. These intrinsic performances are compared with the averaged error in the corresponding estimation problem after single-shot measurements. PB American Physical Society SN 1050-2947 YR 2013 FD 2013-03-07 LK https://hdl.handle.net/20.500.14352/34663 UL https://hdl.handle.net/20.500.14352/34663 LA eng NO ©2013 American Physical Society.A.L. acknowledges support from Projects No. FIS2012-35583 of the Spanish Ministerio de Economia y Competitividad, and No. QUITEMAD S2009-ESP-1594 of the Comunidad de Madrid. NO Ministerio de Economia y Competitividad (MINECO), España NO Comunidad de Madrid DS Docta Complutense RD 11 may 2025