Stochastic waveform estimation at the fundamental quantum limit

• URL: http://arxiv.org/abs/2404.13867v1
• Date: Mon, 22 Apr 2024 04:31:56 GMT
• Title: Stochastic waveform estimation at the fundamental quantum limit
• Authors: James W. Gardner, Tuvia Gefen, Simon A. Haine, Joseph J. Hope, John Preskill, Yanbei Chen, Lee McCuller,
• Abstract summary: We derive the fundamental precision limit, the extended channel quantum Cram'er-Rao bound, and the optimal protocol that attains it. We discuss how this non-Gaussian protocol could improve searches for quantum gravity, gravitational waves, and axionic dark matter.
• Score: 9.313319759875116
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Although measuring the deterministic waveform of a weak classical force is a well-studied problem, estimating a random waveform, such as the spectral density of a stochastic signal field, is much less well-understood despite it being a widespread task at the frontier of experimental physics. State-of-the-art precision sensors of random forces must account for the underlying quantum nature of the measurement, but the optimal quantum protocol for interrogating such linear sensors is not known. We derive the fundamental precision limit, the extended channel quantum Cram\'er-Rao bound, and the optimal protocol that attains it. In the experimentally relevant regime where losses dominate, we prove that non-Gaussian state preparation and measurements are required for optimality. We discuss how this non-Gaussian protocol could improve searches for signatures of quantum gravity, stochastic gravitational waves, and axionic dark matter.

Related papers

• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems [1.2499537119440245]
  Quantum-enhanced sensors, which surpass the standard quantum limit (circuit) and approach the fundamental precision limits dictated by quantum mechanics, are finding applications across a wide range of scientific fields. We introduce entanglement and preserve quantum information among many particles in a sensing circuit. We propose a superconducting-entangled sensor in the microwave regime, highlighting its potential for practical applications in high-precision measurements.
  arXiv  Detail & Related papers  (2024-10-15T00:48:01Z)
• Power Characterization of Noisy Quantum Kernels [52.47151453259434]
  We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small. We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
  arXiv  Detail & Related papers  (2024-01-31T01:02:16Z)
• Achieving the fundamental quantum limit of linear waveform estimation [10.363406065066538]
  In certain cases, there is an unexplained gap between the known waveform-estimation Quantum Cram'er-Rao Bound and the optimal sensitivity from quadrature measurement of the outgoing mode from the device. We resolve this gap by establishing the fundamental precision limit, the waveform-estimation Holevo Cram'er-Rao Bound, and how to achieve it using a nonstationary measurement.
  arXiv  Detail & Related papers  (2023-08-11T17:38:30Z)
• How to harness high-dimensional temporal entanglement, using limited interferometry setups [62.997667081978825]
  We develop the first complete analysis of high-dimensional entanglement in the polarization-time-domain. We show how to efficiently certify relevant density matrix elements and security parameters for Quantum Key Distribution. We propose a novel setup that can further enhance the noise resistance of free-space quantum communication.
  arXiv  Detail & Related papers  (2023-08-08T17:44:43Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Transmission Estimation at the Fundamental Quantum Cram\'er-Rao Bound with Macroscopic Quantum Light [0.0]
  We show that it is possible to perform measurements with the required precision to do so. For our largest transmission level of 84%, we show a 62% reduction over the optimal classical protocol in the variance in transmission estimation.
  arXiv  Detail & Related papers  (2022-01-21T21:50:24Z)
• Bosonic field digitization for quantum computers [62.997667081978825]
  We address the representation of lattice bosonic fields in a discretized field amplitude basis. We develop methods to predict error scaling and present efficient qubit implementation strategies.
  arXiv  Detail & Related papers  (2021-08-24T15:30:04Z)
• 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)
• Conditional preparation of non-Gaussian quantum optical states by mesoscopic measurement [62.997667081978825]
  Non-Gaussian states of an optical field are important as a proposed resource in quantum information applications. We propose a novel approach involving displacement of the ancilla field into the regime where mesoscopic detectors can be used. We conclude that states with strong Wigner negativity can be prepared at high rates by this technique under experimentally attainable conditions.
  arXiv  Detail & Related papers  (2021-03-29T16:59:18Z)
• Quantum limits for stationary force sensing [0.0]
  State-of-the-art sensors have reached the sensitivity where the quantum noise of the meter is significant or even dominant. In particular, the sensitivity of the best optomechanical devices has reached the Standard Quantum Limit. Here we develop a unified theory of these two fundamental limits by deriving the general sensitivity constraint.
  arXiv  Detail & Related papers  (2020-11-30T11:58:00Z)
• Estimation of pure quantum states in high dimension at the limit of quantum accuracy through complex optimization and statistical inference [0.0]
  Quantum tomography has become a key tool for the assessment of quantum states, processes, and devices. In the case of mixed states of a single 2-dimensional quantum system adaptive methods have been recently introduced that achieve the theoretical accuracy limit deduced by Hayashi and Gill and Massar. Here we present an adaptive tomographic method and show through numerical simulations, that it is difficult to approach the fundamental accuracy of pure quantum states in high dimension.
  arXiv  Detail & Related papers  (2020-07-02T21:33:16Z)

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.