Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology

• URL: http://arxiv.org/abs/2302.09823v1
• Date: Mon, 20 Feb 2023 08:07:50 GMT
• Title: Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology
• Authors: Jie Zeng, Dong Li, L. Q. Chen, Weiping Zhang, and Chun-Hua Yuan
• Abstract summary: The quantum Fisher information (QFI) in SU(2) and SU (1,1) interferometers was considered, and the QFI-only calculation was overestimated. We study the ultimate precision limits of SU(2) and SU (1,1) interferometers with photon losses because photon losses as a very usual noise may happen to the phase measurement process.
• Score: 6.095535246938544
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The quantum Fisher information (QFI) in SU(2) and SU(1,1) interferometers was considered, and the QFI-only calculation was overestimated. In general, the phase estimation as a two-parameter estimation problem, and the quantum Fisher information matrix (QFIM) is necessary. In this paper, we theoretically generalize the model developed by Escher et al [Nature Physics 7, 406 (2011)] to the QFIM case with noise and study the ultimate precision limits of SU(2) and SU(1,1) interferometers with photon losses because photon losses as a very usual noise may happen to the phase measurement process. Using coherent state and squeezed vacuum state as a specific example, we numerically analyze the variation of the overestimated QFI with the loss coefficient, and find its disappearance and recovery phenomenon.

Related papers

• Phase estimation via number-conserving operation inside the SU(1,1) interferometer [0.0]
  We propose a theoretical scheme to improve the precision of phase measurement using homodyne detection. We analyze the effects of number-conserving operations on the phase sensitivity, the quantum Fisher information, and the quantum Cramer-Rao bound under both ideal and photon losses scenarios.
  arXiv  Detail & Related papers  (2024-03-29T11:04:38Z)
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps [46.350147604946095]
  We introduce Lindblad-like quantum tomography (L$ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors. We discuss L$ell$QT for the dephasing dynamics of single qubits in detail, which allows for a neat understanding of the importance of including multiple snapshots of the quantum evolution in the likelihood function.
  arXiv  Detail & Related papers  (2024-03-28T19:29:12Z)
• Emergence of noise-induced barren plateaus in arbitrary layered noise models [44.99833362998488]
  In variational quantum algorithms the parameters of a parameterized quantum circuit are optimized in order to minimize a cost function that encodes the solution of the problem. We discuss how, and in which sense, the phenomenon of noise-induced barren plateaus emerges in parameterized quantum circuits with a layered noise model.
  arXiv  Detail & Related papers  (2023-10-12T15:18:27Z)
• Frequency-Aware Self-Supervised Monocular Depth Estimation [41.97188738587212]
  We present two versatile methods to enhance self-supervised monocular depth estimation models. The high generalizability of our methods is achieved by solving the fundamental and ubiquitous problems in photometric loss function. We are the first to propose blurring images to improve depth estimators with an interpretable analysis.
  arXiv  Detail & Related papers  (2022-10-11T14:30:26Z)
• 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)
• Quantum non-demolition measurement based on an SU(1,1)-SU(2)-concatenated atom-light hybrid interferometer [0.5249805590164902]
  Quantum non-demolition (QND) measurement is an important tool in the field of quantum information processing and quantum optics. In this paper, we present an SU(1,1)-SU(2)-concatenated atom-light hybrid interferometer, and theoretically study the QND measurement of photon number.
  arXiv  Detail & Related papers  (2021-05-29T05:03:23Z)
• Quantum-enhanced stochastic phase estimation with SU(1,1) interferometer [3.0440082886830475]
  There is a standard quantum limit for phase estimation, which can be obtained with the Mach-Zehnder interferometer and coherent input state. Here, we show that the method with the SU (1,1) interferometer can achieve the fundamental quantum scaling, surpass the Heisenberg scaling, and surpass the canonical measurement.
  arXiv  Detail & Related papers  (2020-08-07T03:03:36Z)
• Quantum dense metrology by an SU(2)-in-SU(1,1) nested interferometer [2.219595272951318]
  Quantum dense metrology (QDM) is a technique that can perform the joint estimates of two conjugate quantities. We present a QDM scheme with a linear interferometer nested inside an SU (1,1) interferometer. We can achieve the optimum quantum enhancement in the measurement precision of arbitrary mixture of phase and amplitude modulation.
  arXiv  Detail & Related papers  (2020-02-06T10:56:27Z)
• Entanglement robustness to excitonic spin precession in a quantum dot [43.55994393060723]
  A semiconductor quantum dot (QD) is an attractive resource to generate polarization-entangled photon pairs. We study the excitonic spin precession (flip-flop) in a family of QDs with different excitonic fine-structure splitting (FSS) Our results reveal that coherent processes leave the time post-selected entanglement of QDs unaffected while changing the eigenstates of the system.
  arXiv  Detail & Related papers  (2020-01-31T13:50:51Z)
• 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)
• Maximal quantum Fisher information for phase estimation without initial parity [9.218061946975922]
  Mach-Zehnder interferometer is a common device in quantum phase estimation. Photon losses in Mach-Zehnder interferometer are an important issue for achieving a high phase accuracy.
  arXiv  Detail & Related papers  (2014-12-14T07:25:49Z)

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.