Dawn and fall of non-Gaussianity in the quantum parametric oscillator
- URL: http://arxiv.org/abs/2312.16530v1
- Date: Wed, 27 Dec 2023 11:20:13 GMT
- Title: Dawn and fall of non-Gaussianity in the quantum parametric oscillator
- Authors: Marcello Calvanese Strinati, Claudio Conti
- Abstract summary: We study the emergence of non-Gaussianity in the single quantum OPO with an applied external field.
Our findings reveal a nontrivial interplay between parametric drive and applied field.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Systems of coupled optical parametric oscillators (OPOs) forming an Ising
machine are emerging as large-scale simulators of the Ising model. The advances
in computer science and nonlinear optics have triggered not only the physical
realization of hybrid (electro-optical) or all-optical Ising machines, but also
the demonstration of quantum-inspired algorithms boosting their performances.
To date, the use of the quantum nature of parametrically generated light as a
further resource for computation represents a major open issue. A key quantum
feature is the non-Gaussian character of the system state across the
oscillation threshold. In this paper, we perform an extensive analysis of the
emergence of non-Gaussianity in the single quantum OPO with an applied external
field. We model the OPO by a Lindblad master equation, which is numerically
solved by an ab initio method based on exact diagonalization. Non-Gaussianity
is quantified by means of three different metrics: Hilbert-Schmidt distance,
quantum relative entropy, and photon distribution. Our findings reveal a
nontrivial interplay between parametric drive and applied field: (i) Increasing
pump monotonously enhances non-Gaussianity, and (ii) Increasing field first
sharpens non-Gaussianity, and then restores the Gaussian character of the state
when above a threshold value.
Related papers
- Optimizing random local Hamiltonians by dissipation [44.99833362998488]
We prove that a simplified quantum Gibbs sampling algorithm achieves a $Omega(frac1k)$-fraction approximation of the optimum.
Our results suggest that finding low-energy states for sparsified (quasi)local spin and fermionic models is quantumly easy but classically nontrivial.
arXiv Detail & Related papers (2024-11-04T20:21:16Z) - Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
We use FNOs to model the evolution of random quantum spin systems.
We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
arXiv Detail & Related papers (2024-09-05T07:18:09Z) - Non-Hermiticity in quantum nonlinear optics through symplectic
transformations [0.0]
We show that second-quantised Hermitian Hamiltonians on the Fock space give rise to non-Hermitian effective Hamiltonians.
We create a quantum optical scheme for simulating arbitrary non-unitary processes by way of singular value decomposition.
arXiv Detail & Related papers (2023-10-06T18:41:46Z) - Experimental quantum non-Gaussian coincidences of entangled photons [6.108449124807509]
We conclusively test quantum non-Gaussian coincidences of entangled photon pairs with the CHSH-Bell factor.
Our work experimentally certifies the exclusive quantum non-Gaussianity properties highly relevant for optical sensing, communication and computation.
arXiv Detail & Related papers (2023-07-10T12:57:24Z) - Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent
and Incoherent Photons Found with Gradient Search [77.34726150561087]
We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control.
We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
arXiv Detail & Related papers (2023-02-28T07:36:02Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Quantum nondemolition measurements with optical parametric amplifiers
for ultrafast universal quantum information processing [0.0]
Realization of a room-temperature ultra-fast photon-number-resolving (PNR) quantum nondemolition (QND) measurement would have significant implications for photonic quantum information processing (QIP)
We show that a coherent pump field driving a phase-mismatched optical parametric amplifier (OPA) experiences displacements conditioned on the number of signal Bogoliubov excitations.
A measurement of the pump displacement thus provides a QND measurement of the signal Bogoliubov excitations, projecting the signal mode to a squeezed photon-number state.
arXiv Detail & Related papers (2022-09-02T15:23:40Z) - Quantum non-Gaussianity of light and atoms [0.0]
Quantum non-Gaussian states of photons and phonons are conclusive witnesses of higher-than-quadratic nonlinearities in optical and mechanical processes.
This review introduces theoretical analyses of nonclassical and quantum non-Gaussian states of photons and phonons.
arXiv Detail & Related papers (2022-06-05T19:48:41Z) - Noisy Quantum Kernel Machines [58.09028887465797]
An emerging class of quantum learning machines is that based on the paradigm of quantum kernels.
We study how dissipation and decoherence affect their performance.
We show that decoherence and dissipation can be seen as an implicit regularization for the quantum kernel machines.
arXiv Detail & Related papers (2022-04-26T09:52:02Z) - Noiseless linear amplification in quantum target detection using
Gaussian states [0.0]
Quantum target detection aims to utilise quantum technologies to achieve performances in target detection not possible through purely classical means.
This paper considers the employment of a noiseless linear amplifier at the detection stage of a quantum illumination-based quantum target detection protocol.
arXiv Detail & Related papers (2022-01-07T14:50:42Z) - Probing the Universality of Topological Defect Formation in a Quantum
Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model.
We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors.
This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
arXiv Detail & Related papers (2020-01-31T02:55:35Z)
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.