Phase-sensitive nonclassical properties in quantum metrology with a displaced squeezed vacuum state

• URL: http://arxiv.org/abs/2105.00970v1
• Date: Mon, 3 May 2021 16:13:28 GMT
• Title: Phase-sensitive nonclassical properties in quantum metrology with a displaced squeezed vacuum state
• Authors: Zhiwei Tao, Yichong Ren, Azezigul Abdukirim, Shiwei Liu, Ruizhong Rao
• Abstract summary: We find that the accuracy limit of parameter estimation is a function of the phase-sensitive parameter $phi -theta /2$ with a period $pi $. The optimal estimation accuracy can be acquired only when the DSV state degenerates to a squeezed-vacuum state.
• Score: 6.40476282000118
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We predict that the phase-dependent error distribution of locally unentangled quantum states directly affects quantum parameter estimation accuracy. Therefore, we employ the displaced squeezed vacuum (DSV) state as a probe state and investigate an interesting question of the phase-sensitive nonclassical properties in DSV's metrology. We found that the accuracy limit of parameter estimation is a function of the phase-sensitive parameter $\phi -\theta /2$ with a period $\pi $. We show that when $\phi -\theta /2$ $\in \left[ k\pi/2,3k\pi /4\right) \left( k\in \mathbb{Z}\right)$, we can obtain the accuracy of parameter estimation approaching the ultimate quantum limit through using the DSV state with the larger displacement and squeezing strength, whereas $\phi -\theta /2$ $\in \left(3k\pi /4,k\pi \right] \left( k\in \mathbb{Z}\right) $, the optimal estimation accuracy can be acquired only when the DSV state degenerates to a squeezed-vacuum state.

Related papers

• 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)
• The role of shared randomness in quantum state certification with unentangled measurements [36.19846254657676]
  We study quantum state certification using unentangled quantum measurements. $Theta(d2/varepsilon2)$ copies are necessary and sufficient for state certification. We develop a unified lower bound framework for both fixed and randomized measurements.
  arXiv  Detail & Related papers  (2024-01-17T23:44:52Z)
• Localization measures of parity adapted U($D$)-spin coherent states applied to the phase space analysis of the $D$-level Lipkin-Meshkov-Glick model [0.0]
  We study phase-space properties of critical, parity symmetric, $N$-quDit systems undergoing a quantum phase transition. For finite $N$, parity can be restored by projecting DSCS onto $2D-1$ different parity invariant subspaces. Pres of the QPT are then visualized for finite $N$ by plotting the Husimi function of these parity projected DSCS in phase space.
  arXiv  Detail & Related papers  (2023-02-13T10:51:19Z)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• Parameter Estimation with Reluctant Quantum Walks: a Maximum Likelihood approach [0.0]
  A coin action is presented, with the real parameter $theta$ to be estimated. For $k$ large, we show that the likelihood is sharply peaked at a displacement determined by the ratio $d/k$.
  arXiv  Detail & Related papers  (2022-02-24T00:51:17Z)
• 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)
• Nonlocal realism tests and quantum state tomography in Sagnac-based type-II polarization-entanglement SPDC-source [0.0]
  We have experimentally created a robust, ultrabright and phase-stable polarization-entangled state close to maximally entangled Bell-state. We have obtained very reliable and very strong Bell violation as $ S=2.78 pm 0.01 $ with high brightness. The Sagnac configuration provides bidirectional crystal pumping yields to high-rate entanglement source.
  arXiv  Detail & Related papers  (2020-12-04T17:12:17Z)
• Quantum enhanced optical phase estimation with a squeezed thermal state [10.080495095463252]
  Quantum phase estimation protocols can provide a measuring method of phase shift with precision superior to standard quantum limit. A squeezed vacuum state has been pointed out a sensitive resource for quantum phase estimation.
  arXiv  Detail & Related papers  (2020-04-13T09:02:48Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)
• 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.