Determination of the asymptotic limits of adaptive photon counting measurements for coherent-state optical phase estimation

• URL: http://arxiv.org/abs/2208.06762v1
• Date: Sun, 14 Aug 2022 02:47:06 GMT
• Title: Determination of the asymptotic limits of adaptive photon counting measurements for coherent-state optical phase estimation
• Authors: M. A. Rodr\'iguez-Garc\'ia, M. T. DiMario, P. Barberis-Blostein, F. E. Becerra
• Abstract summary: We present a family of strategies for single-shot phase estimation of coherent states based on adaptive non-Gaussian, photon counting, measurements with coherent displacements. We show that these non-Gaussian phase estimation strategies have the same functional form as the canonical phase measurement in the limit differing only by a scaling factor.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Physical realizations of the canonical phase measurement for the optical phase are unknown. Single-shot phase estimation, which aims to determine the phase of an optical field in a single shot, is critical in quantum information processing and metrology. Here we present a family of strategies for single-shot phase estimation of coherent states based on adaptive non-Gaussian, photon counting, measurements with coherent displacements that maximize information gain as the measurement progresses, which have higher sensitivities over the best known adaptive Gaussian strategies. To gain understanding about their fundamental characteristics and demonstrate their superior performance, we develop a comprehensive statistical analysis based on the Bayesian optimal design of experiments, which provides a natural description of these non-Gaussian strategies. This mathematical framework, together with numerical analysis and Monte Carlo methods, allows us to determine the asymptotic limits in sensitivity of strategies based on photon counting designed to maximize information gain, which up to now had been a challenging problem. Moreover, we show that these non-Gaussian phase estimation strategies have the same functional form as the canonical phase measurement in the asymptotic limit differing only by a scaling factor, thus providing the highest sensitivity among physically-realizable measurements for single-shot phase estimation of coherent states known to date. This work shines light into the potential of optimized non-Gaussian measurements based on photon counting for optical quantum metrology and phase estimation.

Related papers

• Homodyne detection is optimal for quantum interferometry with path-entangled coherent states [0.0]
  homodyning schemes analyzed here achieve optimality (saturate the quantum Cram'er-Rao bound) In the presence of photon loss, the schemes become suboptimal, but we find that their performance is independent of the phase to be measured.
  arXiv  Detail & Related papers  (2024-05-22T00:25:02Z)
• Time-reversal assisted quantum metrology with an optimal control [3.250902508512017]
  We propose a protocol to overcome the shot noise limit and reach the Heisenberg scaling limit for parameter estimation. We show that the uncertainty arising from a photon number measurement of the system can saturate the assisted Cream'er-Rao bound.
  arXiv  Detail & Related papers  (2023-12-22T05:14:18Z)
• Adaptive Phase Estimation with Squeezed Vacuum Approaching the Quantum Limit [0.0]
  Phase estimation plays a central role in communications, sensing, and information processing. Quantum correlated states, such as squeezed states, enable phase estimation beyond the shot-noise limit. Physical realizations of optimal quantum measurements for optical phase estimation with quantum-correlated states are still unknown.
  arXiv  Detail & Related papers  (2023-12-12T19:27:04Z)
• Retrieving space-dependent polarization transformations via near-optimal quantum process tomography [55.41644538483948]
  We investigate the application of genetic and machine learning approaches to tomographic problems. We find that the neural network-based scheme provides a significant speed-up, that may be critical in applications requiring a characterization in real-time. We expect these results to lay the groundwork for the optimization of tomographic approaches in more general quantum processes.
  arXiv  Detail & Related papers  (2022-10-27T11:37:14Z)
• Regression of high dimensional angular momentum states of light [47.187609203210705]
  We present an approach to reconstruct input OAM states from measurements of the spatial intensity distributions they produce. We showcase our approach in a real photonic setup, generating up-to-four-dimensional OAM states through a quantum walk dynamics.
  arXiv  Detail & Related papers  (2022-06-20T16:16:48Z)
• Deterministic quantum phase estimation beyond the ideal NOON state limit [0.0]
  We develop a new type of phase estimation scheme based on a deterministic source of Gaussian squeezed vacuum states and high-efficiency homodyne detection. Using a high-efficiency setup with a total loss of about 11% we achieve a Fisher Information of 15.8(6) rad2 per photon unparalleled by any other optical phase estimation technology. The work represents a fundamental achievement in quantum metrology, and it opens the door to future quantum sensing technologies for the interrogation of light-sensitive biological systems.
  arXiv  Detail & Related papers  (2021-11-18T15:37:13Z)
• Conditional preparation of non-Gaussian quantum optical states by mesoscopic measurement [62.997667081978825]
  Non-Gaussian states of an optical field are important as a proposed resource in quantum information applications. We propose a novel approach involving displacement of the ancilla field into the regime where mesoscopic detectors can be used. We conclude that states with strong Wigner negativity can be prepared at high rates by this technique under experimentally attainable conditions.
  arXiv  Detail & Related papers  (2021-03-29T16:59:18Z)
• Improving the Precision of Optical Metrology by Detecting Fewer Photons [22.469758054077396]
  In optical metrological protocols to measure physical quantities, it is always beneficial to increase photon number to improve measurement precision. We show that a modified weak measurement protocol, namely, biased weak measurement significantly improves the precision of optical metrology in the presence of saturation effect.
  arXiv  Detail & Related papers  (2021-03-23T08:14:45Z)
• Single-shot non-Gaussian Measurements for Optical Phase Estimation [0.0]
  We show strategies for single-shot measurements for ab initio phase estimation of coherent states. These strategies surpass the sensitivity limit of heterodyne measurement and approach the Cramer-Rao lower bound for coherent states. This is, to our knowledge, the most sensitive single-shot measurement of an unknown phase encoded in optical coherent states.
  arXiv  Detail & Related papers  (2020-08-18T23:12:34Z)
• On Convergence-Diagnostic based Step Sizes for Stochastic Gradient Descent [24.042107117994046]
  Constant step-size Gradient Descent exhibits two phases: a transient phase during which iterates make fast progress towards the optimum, followed by a stationary phase during which iterates oscillate around the optimal point. We show that efficiently detecting this transition and appropriately decreasing the step size can lead to fast convergence rates.
  arXiv  Detail & Related papers  (2020-07-01T14:58:01Z)
• 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.