Physics – Quantum Physics
Scientific paper
2012-01-11
Physical Review A 85, 042112 (2012)
Physics
Quantum Physics
10 pages, 6 figures, Published version: some clarifications given on the applicability of the new limit
Scientific paper
10.1103/PhysRevA.85.042112
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 the new limit holds for the generators of translations with an upper-bounded spectrum.
Kok Pieter
Perez-Delgado Carlos A.
Zwierz Marcin
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