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Modern Physics Letters B

QUANTUM METROLOGY WITHOUT QUANTUM ENTANGLEMENT

Animesh Datta, Anil Shaji

Published Jun 15, 2012• 18 citations
Publisher

Abstract

We scrutinize the role of quantum entanglement in quantum metrology and discuss recent advances in nonlinear quantum metrology that allow improved scalings of the measurement precision with respect to the available resources. Such schemes can surpass the conventional Heisenberg limited scaling of 1/N of quantum enhanced metrology. Without investing in the preparation of entangled states, we review how systems with intrinsic nonlinearities such as Bose–Einstein condensates and light-matter interfaces can provide improved scaling in single parameter estimation.

DOI
10.1142/s0217984912300104

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Given a physical setup, what is the precision that can be obtained? In this paper, we firstly review the recently theoretical developments about the quantum parameter estimation. The measurement sensitivity can be improved from the Heisenberg limit (HL) to super-Heisenberg limit (SHL) by changing the coupling Hamiltonian from linear to nonlinear. Then we review some techniques which have been used to break through the standard quantum limit (SQL) and reach the HL in optical quantum metrology, and describe the experiment of nonlinear quantum metrology where the interaction among particles as a valuable resource can contribute to measurement sensitivity and give scaling beyond the HL. Finally, we introduce a potential new approach to the future developments of quantum metrology.
Nonlinear interactions are recognized as potential resources for quantum metrology, facilitating parameter estimation precisions that scale as the exponential Heisenberg limit of ${2}^{\ensuremath{-}N}$. We explore such nonlinearity and propose an associated quantum measurement scenario based on the nonlinear interaction of NNN-probe entanglement-generating form. This scenario provides an enhanced precision scaling of ${D}^{\ensuremath{-}N}/(N\ensuremath{-}1)!$ with D>2D>2D>2 a tunable parameter. In addition, it can be readily implemented in a variety of experimental platforms and applied to measurements of a wide range of quantities, including local gravitational acceleration ggg, magnetic field, and its higher-order gradients.