Quantum metrology with precision reaching beyond-$1/N$ scaling through $N$-probe entanglement generating interactions

• URL: http://arxiv.org/abs/2102.07079v2
• Date: Mon, 5 Jul 2021 09:01:27 GMT
• Title: Quantum metrology with precision reaching beyond-$1/N$ scaling through $N$-probe entanglement generating interactions
• Authors: Xing Deng, Shou-Long Chen, Mao Zhang, Xiao-Fan Xu, Jing Liu, Zhi Gao, Xiao-Chun Duan, Min-Kang Zhou, Lushuai Cao and Zhong-Kun Hu
• Abstract summary: We propose a quantum measurement scenario based on the nonlinear interaction of $N$-probe entanglement generating form. This scenario provides an enhanced precision scaling of $D-N/(N-1)!$ with $D > 2$ a tunable parameter.
• Score: 12.257762263903317
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Nonlinear interactions are recognized as potential resources for quantum metrology, facilitating parameter estimation precisions that scale as the exponential Heisenberg limit of $2^{-N}$. We explore such nonlinearity and propose an associated quantum measurement scenario based on the nonlinear interaction of $N$-probe entanglement generating form. This scenario provides an enhanced precision scaling of $D^{-N}/(N-1)!$ with $D > 2$ 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 $g$, magnetic field, and its higher-order gradients.

Related papers

• Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks [54.177130905659155]
  Recent studies show that a reproducing kernel Hilbert space (RKHS) is not a suitable space to model functions by neural networks. In this paper, we study a suitable function space for over- parameterized two-layer neural networks with bounded norms.
  arXiv  Detail & Related papers  (2024-04-29T15:04:07Z)
• Towards large-scale quantum optimization solvers with few qubits [59.63282173947468]
  We introduce a variational quantum solver for optimizations over $m=mathcalO(nk)$ binary variables using only $n$ qubits, with tunable $k>1$. We analytically prove that the specific qubit-efficient encoding brings in a super-polynomial mitigation of barren plateaus as a built-in feature.
  arXiv  Detail & Related papers  (2024-01-17T18:59:38Z)
• Enhanced super-Heisenberg scaling precision by nonlinear coupling and postselection [2.242808511733337]
  We show that metrological precision can be enhanced from the $1/Nfrac32$ super-Heisenberg scaling to $1/N2$, by simply employing a pre- and post-selection (PPS) technique.
  arXiv  Detail & Related papers  (2023-08-16T02:57:22Z)
• Stochastic Marginal Likelihood Gradients using Neural Tangent Kernels [78.6096486885658]
  We introduce lower bounds to the linearized Laplace approximation of the marginal likelihood. These bounds are amenable togradient-based optimization and allow to trade off estimation accuracy against computational complexity.
  arXiv  Detail & Related papers  (2023-06-06T19:02:57Z)
• Quantum probes for the characterization of nonlinear media [50.591267188664666]
  We investigate how squeezed probes may improve individual and joint estimation of the nonlinear coupling $tildelambda$ and of the nonlinearity order $zeta$. We conclude that quantum probes represent a resource to enhance precision in the characterization of nonlinear media, and foresee potential applications with current technology.
  arXiv  Detail & Related papers  (2021-09-16T15:40:36Z)
• Beating standard quantum limit via two-axis magnetic susceptibility measurement [11.321443224184819]
  Scheme measures magnetic susceptibility of an atomic spin ensemble along the $x$ and $z$ direction. One estimation of $phi$ can be produced with every two magnetic susceptibility data measured along the two axis.
  arXiv  Detail & Related papers  (2021-09-01T15:42:01Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Asymptotic optimality of twist-untwist protocols for Heisenberg scaling in atomic interferometry [0.0]
  We prove that twist-untwist protocols provide the lowest estimation error among quantum metrology protocols. We consider all-to-all interactions generated by one-axis twisting. We show that the error of a twist-untwist protocol can be decreased by a factor of $L$ without an increase in the noise of spin measurement.
  arXiv  Detail & Related papers  (2021-04-13T22:29:26Z)
• Quantum Metrology with Coherent Superposition of Two Different Coded Channels [1.430924337853801]
  We show that the Heisenberg limit $1/N$ can be beaten by the coherent superposition without the help of indefinite causal order. We analytically obtain the general form of estimation precision in terms of the quantum Fisher information. Our results can help to construct a high-precision measurement equipment.
  arXiv  Detail & Related papers  (2020-12-03T13:25:16Z)
• Heisenberg scaling precision in multi-mode distributed quantum metrology [0.0]
  We propose an $N$-photon Gaussian measurement scheme which allows the estimation of a parameter $varphi$ encoded into a multi-port interferometer. No restrictions on the structure of the interferometer are imposed other than linearity and passivity.
  arXiv  Detail & Related papers  (2020-03-27T17:34:25Z)
• Quantum Algorithms for Simulating the Lattice Schwinger Model [63.18141027763459]
  We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and fault-tolerant settings. In lattice units, we find a Schwinger model on $N/2$ physical sites with coupling constant $x-1/2$ and electric field cutoff $x-1/2Lambda$. We estimate observables which we cost in both the NISQ and fault-tolerant settings by assuming a simple target observable---the mean pair density.
  arXiv  Detail & Related papers  (2020-02-25T19:18:36Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.