Distributed quantum sensing with optical lattices

• URL: http://arxiv.org/abs/2208.05128v1
• Date: Wed, 10 Aug 2022 03:47:44 GMT
• Title: Distributed quantum sensing with optical lattices
• Authors: Jose Carlos Pelayo, Karol Gietka, and Thomas Busch
• Abstract summary: In distributed quantum sensing the correlations between multiple modes, typically of a photonic system, are utilized to enhance the measurement precision of an unknown parameter. We show that it can allow for parameter estimation at the Heisenberg limit of $(N(M-1)T)2$, where $N$ is the number of particles, $M$ is the number of modes, and $T$ is the measurement time.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In distributed quantum sensing the correlations between multiple modes, typically of a photonic system, are utilized to enhance the measurement precision of an unknown parameter. In this work we investigate the metrological potential of a multi-mode, tilted Bose-Hubbard system and show that it can allow for parameter estimation at the Heisenberg limit of $(N(M-1)T)^{2}$, where $N$ is the number of particles, $M$ is the number of modes, and $T$ is the measurement time. The quadratic dependence on the number of modes can be used to increase the precision compared to typical metrological systems with two atomic modes only, and does not require correlations between different modes. We show that the limit can be reached by using an optimized initial state given as the superposition of all the atoms occupying the first and the last site. Subsequently, we present strategies that would allow to obtain quadratic dependence on $M$ of the Fisher information in a more realistic experimental setup.

Related papers

• Distributed quantum multiparameter estimation with optimal local measurements [0.0]
  We study a sensor made by an array of $d$ spatially-distributed Mach-Zehnder interferometers (MZIs) We show that local measurements, independently performed on each MZI, are sufficient to provide a sensitivity saturating the quantum Cram'er-Rao bound. We find that the $d$ independent interferometers can achieve the same sensitivity of the entangled protocol but at the cost of using additional $d$ non-classical states.
  arXiv  Detail & Related papers  (2024-05-28T17:45:07Z)
• 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)
• Fundamental limits of metrology at thermal equilibrium [0.0]
  We consider the estimation of an unknown parameter $theta$ through a quantum probe at thermal equilibrium. We find the maximal Quantum Fisher Information attainable via arbitrary $HC$, which provides a fundamental bound on the measurement precision.
  arXiv  Detail & Related papers  (2024-02-09T18:01:45Z)
• 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)
• Heisenberg Limit beyond Quantum Fisher Information [0.0]
  Using entangled quantum states, it is possible to scale the precision with $N$ better than when resources would be used independently. I derive bounds on the precision of the estimation for the case of noiseless unitary evolution. I analyze the problem of the Heisenberg limit when multiple parameters are measured simultaneously on the same physical system.
  arXiv  Detail & Related papers  (2023-04-27T17:43:45Z)
• Beyond Heisenberg Limit Quantum Metrology through Quantum Signal Processing [0.0]
  We propose a quantum-signal-processing framework to overcome noise-induced limitations in quantum metrology. Our algorithm achieves an accuracy of $10-4$ radians in standard deviation for learning $theta$ in superconductingqubit experiments. Our work is the first quantum-signal-processing algorithm that demonstrates practical application in laboratory quantum computers.
  arXiv  Detail & Related papers  (2022-09-22T17:47:21Z)
• Eigenstates of two-level systems in a single-mode quantum field: from quantum Rabi model to $N$-atom Dicke model [0.0]
  We show that the Hamiltonian describing the resonant interaction of $N$ two-level systems with a single-mode electromagnetic quantum field in the Coulomb gauge can be diagonalized with a high degree of accuracy.
  arXiv  Detail & Related papers  (2022-02-07T22:14:13Z)
• On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation [62.997667081978825]
  Incompatibility (AI) is a measure which quantifies the difference between the Holevo and the SLD scalar bounds. We show that the maximum amount of AI is attainable only for quantum statistical models characterized by a purity larger than $mu_sf min = 1/(d-1)$.
  arXiv  Detail & Related papers  (2021-07-28T15:16:37Z)
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing [55.41644538483948]
  We investigate superpositions of two-mode squeezed states (TMSSs) TMSSs have potential applications to quantum information processing and quantum sensing.
  arXiv  Detail & Related papers  (2021-02-01T18:09:01Z)
• 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)
• Quantum Simulation of 2D Quantum Chemistry in Optical Lattices [59.89454513692418]
  We propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices. We first analyze how to simulate simple models, like the discrete versions of H and H$+$, using a single fermionic atom. We then show that a single bosonic atom can mediate an effective Coulomb repulsion between two fermions, leading to the analog of molecular Hydrogen in two dimensions.
  arXiv  Detail & Related papers  (2020-02-21T16:00:36Z)

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.