Qubit-assisted quantum metrology

• URL: http://arxiv.org/abs/2404.12649v1
• Date: Fri, 19 Apr 2024 06:25:13 GMT
• Title: Qubit-assisted quantum metrology
• Authors: Peng Chen, Jun Jing,
• Abstract summary: We propose a quantum metrology protocol based on a two-step joint evolution of the probe system and an ancillary qubit. We find that QFI can approach the Heisenberg scaling $N2$ with respect to the quantum number $N$, even when the probe system is prepared in a classical state.
• Score: 2.4927008953071725
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a quantum metrology protocol based on a two-step joint evolution of the probe system and an ancillary qubit and a single-shot projective measurement. With an optimized initialization of the ancillary qubit, the quantum Fisher information (QFI) about the phase parameter encoded in the probe system is found to be determined by the expectation value of the square of a time-optimized phase generator, independent of the probe state. Therefore, QFI can approach the Heisenberg scaling $N^2$ with respect to the quantum number $N$, even when the probe system is prepared in a classical state. We find that this scaling behavior is robust against the imperfections in preparing the ancillary qubit and controlling the evolution time. Using the time-reversal strategy, the classical Fisher information (CFI) in our metrology protocol is saturated with its quantum counterpart. Our work thus paves an economical way to realize the Heisenberg-scaling limit in metrology precision with no use of entanglement or squeezing.

Related papers

• Achieving Heisenberg scaling by probe-ancilla interaction in quantum metrology [0.0]
  Heisenberg scaling is an ultimate precision limit of parameter estimation allowed by the principles of quantum mechanics. In this paper, we show that interactions between the probes and an ancillary system may also increase the precision of parameter estimation to surpass the standard quantum limit.
  arXiv  Detail & Related papers  (2024-07-23T23:11:50Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Realizing the Nishimori transition across the error threshold for constant-depth quantum circuits [0.0]
  We study the generation of the simplest long-range order on a 127 superconducting qubit device. By experimentally tuning coherent and incoherent error rates, we demonstrate stability of this decoded long-range order in two spatial dimensions. Our study exemplifies how measurement-based state preparation can be meaningfully explored on quantum processors beyond a hundred qubits.
  arXiv  Detail & Related papers  (2023-09-06T09:43:12Z)
• 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)
• Finite-Size Scaling on a Digital Quantum Simulator using Quantum Restricted Boltzmann Machine [0.0]
  The critical point and the critical exponents for a phase transition can be determined using the Finite-Size Scaling analysis. We propose an alternative FSS method in which the truncation of the system is done in the Hilbert space instead of the physical space.
  arXiv  Detail & Related papers  (2022-01-31T21:58:01Z)
• Exponential precision by reaching a quantum critical point [0.0]
  We report a protocol that is capable of surpassing the quadratic scaling, and yields an exponential advantage. The exponential advantage stems from the breakdown of the adiabatic condition close to a critical point. Our findings unveil a novel quantum metrological protocol whose precision scaling goes beyond the paradigmatic Heisenberg limit.
  arXiv  Detail & Related papers  (2021-12-21T14:46:33Z)
• Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling [0.0]
  Phase transitions represent a compelling tool for classical and quantum sensing applications. Quantum sensors can saturate the Heisenberg scaling in the limit of large probe number and long measurement time. Our analysis unveils the existence of universal precision-scaling regimes.
  arXiv  Detail & Related papers  (2021-10-08T14:11:54Z)
• 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)
• Probing the topological Anderson transition with quantum walks [48.7576911714538]
  We consider one-dimensional quantum walks in optical linear networks with synthetically introduced disorder and tunable system parameters. The option to directly monitor the walker's probability distribution makes this optical platform ideally suited for the experimental observation of the unique signatures of the one-dimensional topological Anderson transition.
  arXiv  Detail & Related papers  (2021-02-01T21:19:15Z)
• Quantum probes for universal gravity corrections [62.997667081978825]
  We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system. We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure. Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
  arXiv  Detail & Related papers  (2020-02-13T19:35:07Z)
• In and out of equilibrium quantum metrology with mean-field quantum criticality [68.8204255655161]
  We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
  arXiv  Detail & Related papers  (2020-01-09T19:20:42Z)

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.