Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2106.11631 · Journal of the Optical Society of America B

Phase noise mitigation by a realistic optical parametric oscillator

Michele N. Notarnicola, Marco G. Genoni, S. Cialdi, Matteo G. A. Paris, Stefano Olivares

Published Feb 15, 2022• 8 citations
arXivHTMLPDF

Abstract

We address the exploitation of an optical parametric oscillator (OPO) in the task of mitigating, at least partially, phase noise produced by phase diffusion. In particular, we analyze two scenarios where phase diffusion is typically present. The first one is the measurement of the phase of a noisy optical field, while the second involves a quantum estimation scheme of a phase shift imposed on a noisy probe. In both cases, we prove that an OPO may lead to a partial or full compensation of the noise.

DOI
10.1364/josab.435488

Related papers

Squeezing Phase Diffusion

S. Cialdi, Edoardo Suerra, Stefano Olivares +2 more

We address the use of optical parametric oscillator (OPO) to counteract phase diffusion, and demonstrate phase-noise reduction for coherent signals traveling through a suitably tuned OPO. In particular, we theoretically and experimentally show that there is a threshold value on the phase noise, above which OPO can be exploited to "squeeze" phase noise. The threshold depends on the energy of the input coherent state, and on the relevant parameters of the OPO, i.e., gain and input-output and crystal loss rates.

arXiv:1905.13158•Physical Review Letters•Apr 23, 2020•12 citations

Phase Diffusion and Quantum Noise in the Optical Parametric Oscillator: A Semiclassical Approach

J.-Y. Courtois, A. D. Smith, Claude Fabre +1 more

We calculate by the semiclassical method the noise spectra of a non-degenerate optical parametric oscillator operating above threshold when taking into account two independent diffusion processes on the pump phase and on the signal-idler phase difference. We also show that the phase diffusion processes are important when calculating the quantum noise in an optical parametric oscillator for noise frequencies close to the beat frequency between the signal and idler modes.

Journal of Modern Optics•Jan 1, 1991•33 citations

Quantum noise and squeezing in an optical parametric oscillator with arbitrary output-mirror coupling. III. Effect of pump amplitude and phase fluctuations

Sudhakar Prasad

Quantum fluctuations and squeezing of the signal field generated by a degenerate optical parametric oscillator are sensitive to the phase and amplitude fluctuations of the second-harmonic pump. The analysis reported here extends our previous calculations for a perfectly monochromatic noise-free pump to allow for finite pump amplitude and phase fluctuations. We treat the typically intense pump field with its fluctuations as a classical Gaussian stochastic process in two limits: first, when the pump has amplitude fluctuations but its phase is fixed and second, when its phase diffuses but its amplitude is fixed. Since pump amplitude noise affects the evolution of the signal field multiplicatively, it has a lesser impact on the quantum fluctuations of the signal than pump phase diffusion which compromises such fluctuations via the extreme phase sensitivity of the parametric amplification process. For the latter limit, our calculations extend the work of Gea-Banacloche and Zubairy [Phys. Rev. A 42, 1742 (1990)] to cavities with arbitrary transmission coefficients for the bounding mirrors.

Physical Review A•Feb 1, 1994•7 citations

Quantum Phase Diffusion Noise Measurements in a CW Optical Parametric Oscillator

Dicky Lee, N. C. Wong

Springer eBooks•Jan 1, 1996•1 citation

Optical Phase Estimation in the Presence of Phase Diffusion

Marco G. Genoni, Stefano Olivares, Matteo G. A. Paris

The measurement problem for the optical phase has been traditionally attacked for noiseless schemes or in the presence of amplitude or detection noise. Here we address the estimation of phase in the presence of phase diffusion and evaluate the ultimate quantum limits to precision for phase-shifted Gaussian states. We look for the optimal detection scheme and derive approximate scaling laws for the quantum Fisher information and the optimal squeezing fraction in terms of the total energy and the amount of noise. We also find that homodyne detection is a nearly optimal detection scheme in the limit of very small and large noise.

arXiv:1012.1123•Physical Review Letters•Apr 14, 2011•231 citations

Squeezing as a resource to counteract phase diffusion in optical phase estimation

Giacomo Carrara, Marco G. Genoni, S. Cialdi +2 more

We address a phase estimation scheme using Gaussian states in the presence of non-Gaussian phase noise. At variance with previous analysis, we analyze situations in which the noise occurs before encoding phase information. In particular, we study how squeezing may be profitably used before or after phase diffusion. Our results show that squeezing the probe after the noise greatly enhances the sensitivity of the estimation scheme, as witnessed by the increase of the quantum Fisher information. We then consider a realistic setup in which homodyne detection is employed at the measurement stage, and we address its optimality as well as its performance in the two different scenarios.

arXiv:2008.03161•Physical Review A•Dec 16, 2020•11 citations
We address the exploitation of an optical parametric oscillator (OPO) in the task of mitigating, at least partially, phase noise produced by phase diffusion. In particular, we analyze two scenarios where phase diffusion is typically present. The first one is the measurement of the phase of a noisy optical field, while the second involves a quantum estimation scheme of a phase shift imposed on a noisy probe. In both cases, we prove that an OPO may lead to a partial or full compensation of the noise.
We address the use of optical parametric oscillator (OPO) to counteract phase diffusion, and demonstrate phase-noise reduction for coherent signals traveling through a suitably tuned OPO. In particular, we theoretically and experimentally show that there is a threshold value on the phase noise, above which OPO can be exploited to "squeeze" phase noise. The threshold depends on the energy of the input coherent state, and on the relevant parameters of the OPO, i.e., gain and input-output and crystal loss rates.
Quantum fluctuations and squeezing of the signal field generated by a degenerate optical parametric oscillator are sensitive to the phase and amplitude fluctuations of the second-harmonic pump. The analysis reported here extends our previous calculations for a perfectly monochromatic noise-free pump to allow for finite pump amplitude and phase fluctuations. We treat the typically intense pump field with its fluctuations as a classical Gaussian stochastic process in two limits: first, when the pump has amplitude fluctuations but its phase is fixed and second, when its phase diffuses but its amplitude is fixed. Since pump amplitude noise affects the evolution of the signal field multiplicatively, it has a lesser impact on the quantum fluctuations of the signal than pump phase diffusion which compromises such fluctuations via the extreme phase sensitivity of the parametric amplification process. For the latter limit, our calculations extend the work of Gea-Banacloche and Zubairy [Phys. Rev. A 42, 1742 (1990)] to cavities with arbitrary transmission coefficients for the bounding mirrors.
The measurement problem for the optical phase has been traditionally attacked for noiseless schemes or in the presence of amplitude or detection noise. Here we address the estimation of phase in the presence of phase diffusion and evaluate the ultimate quantum limits to precision for phase-shifted Gaussian states. We look for the optimal detection scheme and derive approximate scaling laws for the quantum Fisher information and the optimal squeezing fraction in terms of the total energy and the amount of noise. We also find that homodyne detection is a nearly optimal detection scheme in the limit of very small and large noise.
We address a phase estimation scheme using Gaussian states in the presence of non-Gaussian phase noise. At variance with previous analysis, we analyze situations in which the noise occurs before encoding phase information. In particular, we study how squeezing may be profitably used before or after phase diffusion. Our results show that squeezing the probe after the noise greatly enhances the sensitivity of the estimation scheme, as witnessed by the increase of the quantum Fisher information. We then consider a realistic setup in which homodyne detection is employed at the measurement stage, and we address its optimality as well as its performance in the two different scenarios.