Weak-Value Amplification for Longitudinal Phase Measurements Approaching the Shot-Noise Limit Characterized by Allan Variance

• URL: http://arxiv.org/abs/2602.17035v1
• Date: Thu, 19 Feb 2026 03:06:52 GMT
• Title: Weak-Value Amplification for Longitudinal Phase Measurements Approaching the Shot-Noise Limit Characterized by Allan Variance
• Authors: Jing-Hui Huang, Xiang-Yun Hu,
• Abstract summary: We report a quantitative evaluation of weak-value amplification (WVA) for longitudinal phase measurements using Allan analysis.<n>Our results provide rigorous, quantitative evidence of the near-optimal noise achievable with WVA.<n>This advancement is particularly relevant to applications such as gravitational-wave detection, where signals occupy the high-frequency regime.
• Score: 2.387261157580583
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We report a quantitative evaluation of weak-value amplification (WVA) for longitudinal phase measurements using Allan variance analysis. Building on a recent double-slit interferometry experiment with real weak values [Phys. Rev. Lett. 134, 080802 (2025)], our Allan variance analysis demonstrates measurement of a few attosecond time delay approaching the shot noise limit at short averaging intervals of $T$ = $0.01-0.1$ s, representing two orders of magnitude variance reduction compared to the $T=300$ s operating point in prior implementations. We demonstrate that the Allan-variance noise floor scales with the inverse of the detected photon number $1/N_r$, confirming shot-noise-limited operation with WVA. Furthermore, this $1/N_r$ scaling experimentally validates that WVA can outperform conventional measurement under fixed detected photon number and detector saturation, in the presence of technical noise, as theoretically predicted [Phys. Rev. Lett. 118, 070802 (2017)]. Our results provide rigorous, quantitative evidence of the near-optimal noise performance achievable with WVA, establishing a new benchmark for precision optical metrology. This advancement is particularly relevant to applications such as gravitational-wave detection, where signals predominantly occupy the high-frequency regime ($>10$ Hz).

Related papers

• Experimental demonstration of the absence of noise-induced barren plateaus using information content landscape analysis [1.3066182802188202]
  Variational quantum algorithms are a promising tool for near-term quantum computing.<n>However, their performance is limited by Barren Plateaus (NIBP)<n>NIBP are predicted to arise due to noise accumulation independent of circuit structure.
  arXiv  Detail & Related papers  (2026-02-26T10:38:53Z)
• Resource-Efficient Noise Spectroscopy for Generic Quantum Dephasing Environments [0.10923877073891443]
  The weak measurement is induced by a Ramsey interferometry measurement on the qubit and periodically applied during the free evolution of the environment.<n>We prove that the measurement correlation of such repetitive RIMs approximately corresponds to a direct sampling of the noise correlation function.<n>This method is also more resource-efficient than the correlation spectroscopy, as for the same detection accuracy with $N$ sampling times, it takes total detection time $O(N)$.
  arXiv  Detail & Related papers  (2026-01-26T09:19:17Z)
• Noise Conditional Variational Score Distillation [60.38982038894823]
  Noise Conditional Variational Score Distillation (NCVSD) is a novel method for distilling pretrained diffusion models into generative denoisers.<n>By integrating this insight into the Variational Score Distillation framework, we enable scalable learning of generative denoisers.
  arXiv  Detail & Related papers  (2025-06-11T06:01:39Z)
• Robust Representation Consistency Model via Contrastive Denoising [83.47584074390842]
  randomized smoothing provides theoretical guarantees for certifying robustness against adversarial perturbations.<n> diffusion models have been successfully employed for randomized smoothing to purify noise-perturbed samples.<n>We reformulate the generative modeling task along the diffusion trajectories in pixel space as a discriminative task in the latent space.
  arXiv  Detail & Related papers  (2025-01-22T18:52:06Z)
• Enhancing interferometry using weak value amplification with real weak values [2.248608623448951]
  We introduce an ultra-sensitive interferometric protocol that combines weak value amplification (WVA) with traditional interferometry.<n>This protocol WVA + interferometry uses weak value amplification of the relative delay between two paths to enhance interferometric sensitivity.
  arXiv  Detail & Related papers  (2024-03-31T02:15:10Z)
• Towards Faster Non-Asymptotic Convergence for Diffusion-Based Generative Models [49.81937966106691]
  We develop a suite of non-asymptotic theory towards understanding the data generation process of diffusion models. In contrast to prior works, our theory is developed based on an elementary yet versatile non-asymptotic approach.
  arXiv  Detail & Related papers  (2023-06-15T16:30:08Z)
• Advancing Unsupervised Low-light Image Enhancement: Noise Estimation, Illumination Interpolation, and Self-Regulation [55.07472635587852]
  Low-Light Image Enhancement (LLIE) techniques have made notable advancements in preserving image details and enhancing contrast. These approaches encounter persistent challenges in efficiently mitigating dynamic noise and accommodating diverse low-light scenarios. We first propose a method for estimating the noise level in low light images in a quick and accurate way. We then devise a Learnable Illumination Interpolator (LII) to satisfy general constraints between illumination and input.
  arXiv  Detail & Related papers  (2023-05-17T13:56:48Z)
• DiffusionAD: Norm-guided One-step Denoising Diffusion for Anomaly Detection [80.20339155618612]
  DiffusionAD is a novel anomaly detection pipeline comprising a reconstruction sub-network and a segmentation sub-network.<n>A rapid one-step denoising paradigm achieves hundreds of times acceleration while preserving comparable reconstruction quality.<n>Considering the diversity in the manifestation of anomalies, we propose a norm-guided paradigm to integrate the benefits of multiple noise scales.
  arXiv  Detail & Related papers  (2023-03-15T16:14:06Z)
• Noise-specific beats in the higher-level Ramsey curves of a transmon qubit [0.0]
  In superconducting transmon devices, time-correlated $1/f$ charge noise and quasiparticle-induced parity flips can give an underestimation of the total dephasing time. The charge variations manifest as beating patterns observed in the overlay of several Ramsey fringe curves. $T*$ dephasing times which more accurately represent the total dephasing time are obtained.
  arXiv  Detail & Related papers  (2022-11-12T00:48:08Z)
• Auto-correlative weak-value amplification under strong noise background [7.985795658443465]
  We investigate a modified weak measurement protocol with a temporal pointer. AWVA approach implements two simultaneous auto-correlative weak measurements. Simulation results show that the AWVA approach outperforms the standard WVA technique in the time domain.
  arXiv  Detail & Related papers  (2022-03-29T04:48:31Z)
• Improving the precision of weak-value-amplification with two cascaded Michelson interferometers based on Vernier-effect [4.278591555984394]
  A modified-weak-value-amplification technique of measuring the mirror's velocity based on the Vernier-effect has been proposed. We have demonstrated with sensitivity-enhanced and the higher signal-to-noise ratio($rm SNR$) by using two cascaded Michelson interferometers.
  arXiv  Detail & Related papers  (2021-07-30T02:23:07Z)
• Analytic Signal Phase in $N-D$ by Linear Symmetry Tensor--fingerprint modeling [69.35569554213679]
  We show that the Analytic Signal phase, and its gradient have a hitherto unstudied discontinuity in $2-D $ and higher dimensions. This shortcoming can result in severe artifacts whereas the problem does not exist in $1-D $ signals. We suggest the use of Linear Symmetry phase, relying on more than one set of Gabor filters, but with a negligible computational add-on.
  arXiv  Detail & Related papers  (2020-05-16T21:17:26Z)

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.