Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.85.042112
Title: Ultimate limits to quantum metrology and the meaning of the Heisenberg limit
Authors: Zwierz, M.
Pérez-Delgado, C.A. 
Kok, P.
Issue Date: 18-Apr-2012
Citation: Zwierz, M., Pérez-Delgado, C.A., Kok, P. (2012-04-18). Ultimate limits to quantum metrology and the meaning of the Heisenberg limit. Physical Review A - Atomic, Molecular, and Optical Physics 85 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.85.042112
Abstract: For the last 20 years, the question of what are the fundamental capabilities of quantum precision measurements has sparked a lively debate throughout the scientific community. Typically, the ultimate limits in quantum metrology are associated with the notion of the Heisenberg limit expressed in terms of the physical resources used in the measurement procedure. Over the years, a variety of different physical resources were introduced, leading to a confusion about the meaning of the Heisenberg limit. Here, we review the mainstream definitions of the relevant resources and introduce the universal resource count, that is, the expectation value of the generator (above its ground state) of translations in the parameter we wish to estimate, that applies to all measurement strategies. This leads to the ultimate formulation of the Heisenberg limit for quantum metrology. We prove that this limit holds for the generators of translations with an upper-bounded spectrum. © 2012 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/126338
ISSN: 10502947
DOI: 10.1103/PhysRevA.85.042112
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