Heralded Non-Gaussian Squeezed-State Inputs for Parity-Detection SU(1,1) Interferometry

• URL: http://arxiv.org/abs/2608.04476v1
• Date: Wed, 05 Aug 2026 06:02:51 GMT
• Title: Heralded Non-Gaussian Squeezed-State Inputs for Parity-Detection SU(1,1) Interferometry
• Abstract summary: We compare photon subtraction, photon addition, and photon parity constraints as input-side heralding operations in a balanced SU (1,1) interferometer with parity detection.<n>We find a sharp boundary between conditional non-Gaussian enhancement and practically available precision under explicitly stated resource constraints.
• Score: 1.3551878698295214
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Non-Gaussian operations can reshape the photon statistics of continuous-variable probes, but their metrological advantage is meaningful only when heralding probability and photon-number resources are counted consistently. We compare photon subtraction, photon addition, and photon catalysis as input-side heralding operations in a balanced SU(1,1) interferometer with parity detection. A unified finite-transmissivity map supplies closed conditional moments and the corresponding quantum Fisher information at arbitrary operation order; internal loss is absorbed into a single effective parity observable whose lossless limit recovers the ideal pulled-back measurement. At fixed preparation parameters, single-photon subtraction and addition improve the conditional phase information over the Gaussian reference across most of the high-transmissivity regime, while multi-photon catalysis opens useful low-transmissivity windows. However, when the coherent--squeezed allocation is independently optimized at fixed conditional-probe energy and fixed interferometer gain, the success-weighted Fisher information of all three non-Gaussian operations remains below the optimized Gaussian benchmark. This conclusion is subject to the tested constraints: single-photon operations, a coherent-plus-squeezed-vacuum Gaussian family, fixed gain, and parity readout. Photon catalysis separately generates a conditional branch with high local quantum Fisher information that dark-point parity extracts poorly, identifying a measurement mismatch rather than a state-preparation failure. The result draws a sharp boundary between conditional non-Gaussian enhancement and practically available precision under explicitly stated resource constraints.

Related papers

• Quantum Decision Theory for Displacement Detection with Finite-Energy GKP States [46.2474896050764]
  We develop a framework for detecting phase-space displacements with finite-energy, $d$-level Gottesman-Kitaev-Preskill (GKP) probes.<n>For single-mode and entanglement-assisted architectures, we derive the Bayesian minimum-error probability.<n>We benchmark the resulting protocols against coherent-state, direction-matched squeezed-vacuum, and twin-beam schemes.
  arXiv  Detail & Related papers  (2026-08-08T10:32:05Z)
• From the Hong-Ou-Mandel Effect to Quantum Sensing: Interference of Nonclassical Light with Partial Distinguishability and Noise [0.0]
  This thesis explores the interference of nonclassical states of light, particularly Fock and Gaussian states, in noisy linear interferometers.<n> analytical tools are developed to describe quantum optical interference in a unified way.
  arXiv  Detail & Related papers  (2026-07-03T23:21:47Z)
• Squeezing as a catalyst for non-Gaussian advantage in characterization of nonlinear media [0.6524460254566904]
  We consider three main classes of nonlinear Hamiltonians, namely quadrature nonlinearities, generalized squeezing and Kerr-type interactions.<n>We compare the performance of Gaussian and non-Gaussian probes and assess the optimal probe based on the probe parameters, energy resource and non-Gaussianity.
  arXiv  Detail & Related papers  (2026-06-28T22:33:16Z)
• Fi-Gaussian: Frequency-Aware Implicit Gaussian Splatting for Single Image Dehazing [25.472500911155347]
  We propose Fi-Gaussian, a frequency-aware implicit Gaussian splatting network for single image dehazing.<n>Fi-Gaussian achieves state-of-the-art quantitative performance and produces visually superior dehazed results.
  arXiv  Detail & Related papers  (2026-06-15T03:31:41Z)
• Below-shot-noise capacity in phase estimation using nonlinear interferometers [30.5491665195957]
  We compare three quantum-imaging configurations using intensity-based measurements for phase estimation.<n> differential intensity detection in the Mandel interferometer provides the highest and most robust phase sensitivity.
  arXiv  Detail & Related papers  (2026-01-07T17:51:52Z)
• From Particles to Fields: Reframing Photon Mapping with Continuous Gaussian Photon Fields [33.039991323985056]
  We introduce a learnable representation that encodes photon distributions as anisotropic 3D Gaussian primitives by position, rotation, scale, and spectrum.<n>Experiments on scenes with complex light transport, such as caustics and specular-diffuse interactions, demonstrate that GPF attains photon-level accuracy by orders of magnitude.
  arXiv  Detail & Related papers  (2025-12-13T21:09:09Z)
• Semi-Implicit Functional Gradient Flow for Efficient Sampling [30.32233517392456]
  We propose a functional gradient ParVI method that uses perturbed particles with Gaussian noise as the approximation family.<n>We show that the corresponding functional gradient flow, which can be estimated via denoising score matching with neural networks, exhibits strong theoretical convergence guarantees.<n>In addition, we present an adaptive version of our method that automatically selects the appropriate noise magnitude during sampling.
  arXiv  Detail & Related papers  (2024-10-23T15:00:30Z)
• Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit [33.7054351451505]
  Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss.<n>Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states.<n>Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
  arXiv  Detail & Related papers  (2022-12-22T23:32:21Z)
• Parity-detection-based Mach-Zehnder interferometry with coherent and non-Gaussian squeezed vacuum states as inputs [1.8070424740773694]
  We theoretically explore the advantages rendered by non-Gaussian operations in phase estimation using a parity-detection-based Mach-Zehnder interferometer. We consider a realistic model to perform three different non-Gaussian operations, namely photon subtraction, photon addition, and photon a single-mode SVS.
  arXiv  Detail & Related papers  (2022-12-22T12:56:56Z)
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter [62.997667081978825]
  We introduce a low-overhead protocol to reverse this degradation. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise. This filter can be understood as a protocol for single-copy quasi-distillation.
  arXiv  Detail & Related papers  (2022-09-06T18:18:41Z)
• Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry [1.9386782072251818]
  We theoretically analyze phase sensitivity using parity detection based Mach Zehnder interferometer (MZI) We consider the realistic model of photon subtraction, addition, and subtraction and derive a single expression of the Wigner function for photon subtracted, added, and catalyzed TMSV state. We identify the ranges of squeezing and transmissivity parameters where the non-Gaussian states provide better phase sensitivity than the TMSV state.
  arXiv  Detail & Related papers  (2022-02-20T16:13:45Z)
• Gaussian versus non-Gaussian filtering of phase-insensitive nonclassicality [0.0]
  bosonic phase-space functions are compared with their ability to uncover nonclassical effects of light through their negativities. We show that significant negativities of non-Gaussian filtered quasiprobabilities uncover nonclassical effects even for low efficiencies.
  arXiv  Detail & Related papers  (2020-10-05T17:20:32Z)
• Uncertainty quantification for nonconvex tensor completion: Confidence intervals, heteroscedasticity and optimality [92.35257908210316]
  We study the problem of estimating a low-rank tensor given incomplete and corrupted observations. We find that it attains unimprovable rates $ell-2$ accuracy.
  arXiv  Detail & Related papers  (2020-06-15T17:47:13Z)

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.