Related papers: Achieving Heisenberg scaling with maximally entangled states: an analytic upper bound for the attainable root mean square error

Achieving Heisenberg scaling with maximally entangled states: an analytic upper bound for the attainable root mean square error

URL: http://arxiv.org/abs/2007.02994v2
Date: Fri, 25 Sep 2020 12:34:30 GMT
Title: Achieving Heisenberg scaling with maximally entangled states: an analytic upper bound for the attainable root mean square error
Authors: Federico Belliardo and Vittorio Giovannetti
Abstract summary: We explore the possibility of performing Heisenberg limited quantum metrology of a phase, without any prior, by employing only maximally entangled states. The analysed protocol is non-adaptive and requires in principle (for distinguishable probes) only separable measurements.
Score: 2.0305676256390934
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper we explore the possibility of performing Heisenberg limited quantum metrology of a phase, without any prior, by employing only maximally entangled states. Starting from the estimator introduced by Higgins et al. in New J. Phys. 11, 073023 (2009), the main result of this paper is to produce an analytical upper bound on the associated Mean Squared Error which is monotonically decreasing as a function of the square of the number of quantum probes used in the process. The analysed protocol is non-adaptive and requires in principle (for distinguishable probes) only separable measurements. We explore also metrology in presence of a limitation on the entanglement size and in presence of loss.

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