Achieving Heisenberg Scaling on Measurement of A Three-Qubit System via Quantum Error Correction

• URL: http://arxiv.org/abs/2203.01179v2
• Date: Fri, 2 Dec 2022 21:41:26 GMT
• Title: Achieving Heisenberg Scaling on Measurement of A Three-Qubit System via Quantum Error Correction
• Authors: Le Hu, Shengshi Pang, Andrew Jordan
• Abstract summary: We show that we can achieve the Heisenberg scaling for an extended period of time on a three-qubit Tavis-Cumming Model. The generalization to arbitrary number of atoms case is also discussed.
• Score: 3.2442879131520117
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In many-body quantum systems, the quantum Fisher information an observer can obtain is susceptible to decoherence. Consequently, quantum enhanced metrology, such as Heisenberg scaling, cannot usually be achieved. We show, via two distinct methods, that by applying periodic quantum error corrections, we can achieve the Heisenberg scaling for an extended period of time on a three-qubit Tavis-Cumming Model, where three two-level atoms interact with a single cavity mode, under certain approximations. The generalization to arbitrary number of atoms case is also discussed.

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. 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. Our protocol features in two aspects: (i) the Heisenberg scaling can be achieved by a product state of the probes, (ii) mere local measurement on the ancilla is sufficient.
  arXiv  Detail & Related papers  (2024-07-23T23:11:50Z)
• Scalable spin squeezing in a dipolar Rydberg atom array [2.392520546501394]
  We show how to enhance the precision of measurements beyond the standard quantum limit. To do so, one can reshape the quantum projection noise -- a strategy known as squeezing. We present two independent refinements: first, using a multistep spin-squeezing protocol allows us to further enhance the squeezing by approximately 1 dB, and second, leveraging Floquet engineering to realize Heisenberg interactions.
  arXiv  Detail & Related papers  (2023-03-14T16:35:17Z)
• Effective information bounds in modified quantum mechanics [0.03492633112489883]
  We show that quantum systems undergo corrections to the quantum speed limit which, in turn, imply the modification of the Heisenberg limit for parameter estimation. For some nonlocal models inspired by quantum gravity, the bounds are found to oscillate in time, an effect that could be tested in future high-precision quantum experiments.
  arXiv  Detail & Related papers  (2022-11-16T21:37:04Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• 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)
• Heisenberg-Limited Waveform Estimation with Solid-State Spins in Diamond [15.419555338671772]
  Heisenberg limit in arbitrary waveform estimation is quite different with parameter estimation. It is still a non-trivial challenge to generate a large number of exotic quantum entangled states to achieve this quantum limit. This work provides an essential step towards realizing quantum-enhanced structure recognition in a continuous space and time.
  arXiv  Detail & Related papers  (2021-05-13T01:52:18Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Universal quantum computation and quantum error correction with ultracold atomic mixtures [47.187609203210705]
  We propose a mixture of two ultracold atomic species as a platform for universal quantum computation with long-range entangling gates. One atomic species realizes localized collective spins of tunable length, which form the fundamental unit of information. We discuss a finite-dimensional version of the Gottesman-Kitaev-Preskill code to protect quantum information encoded in the collective spins.
  arXiv  Detail & Related papers  (2020-10-29T20:17:14Z)
• Quantum tomography of an entangled three-spin state in silicon [0.0]
  We show operation of a fully functional three-qubit array in silicon and generation of a three-qubit Greenberger-Horne-Zeilinger (GHZ) state. Our result shows the potential of silicon-based qubit platform for demonstrations of multiqubit quantum algorithms.
  arXiv  Detail & Related papers  (2020-10-20T14:27:46Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)
• Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
  We introduce jumptime unraveling as a distinct description of open quantum systems. quantum jump trajectories emerge, physically, from continuous quantum measurements. We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
  arXiv  Detail & Related papers  (2020-01-24T09:35:32Z)

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.