Related papers: Matrix phase-space representations in quantum optics

Matrix phase-space representations in quantum optics

URL: http://arxiv.org/abs/2503.12749v1
Date: Mon, 17 Mar 2025 02:33:14 GMT
Title: Matrix phase-space representations in quantum optics
Authors: Peter D. Drummond, Alexander S. Dellios, Margaret D. Reid,
Abstract summary: We introduce matrix quantum phase-space distributions.<n>These extend the idea of a quantum phase-space representation via projections onto a density matrix of global symmetry variables.<n>We demonstrate improvements in sampling error by a factor of 1000 or more compared to unprojected methods, which are infeasible for such cases.
Score: 44.99833362998488
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We introduce matrix quantum phase-space distributions. These extend the idea of a quantum phase-space representation via projections onto a density matrix of global symmetry variables. The method is applied to verification of low-loss Gaussian boson sampling (GBS) quantum computational advantage experiments with up to 10,000 modes, where classically generating photon-number counts is exponentially hard. We demonstrate improvements in sampling error by a factor of 1000 or more compared to unprojected methods, which are infeasible for such cases.

Related papers

Making Every Photon Count: A Quantum Polyspectra Approach to the Dynamics of Blinking Quantum Emitters at Low Photon Rates Without Binning [0.0]
We present an evaluation scheme that eliminates the need for a minimum photon flux and the usual binning of photon events. By virtue of this approach we can determine on- and off-switching rates of a semiconductor quantum dot at light levels 1000 times lower than in a standard experiment.
arXiv Detail & Related papers (2023-10-16T14:43:42Z)
Simulating Gaussian boson sampling quantum computers [68.8204255655161]
We briefly review recent theoretical methods to simulate experimental Gaussian boson sampling networks. We focus mostly on methods that use phase-space representations of quantum mechanics. A brief overview of the theory of GBS, recent experiments and other types of methods are also presented.
arXiv Detail & Related papers (2023-08-02T02:03:31Z)
Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges [0.0]
We explore the use of dynamical diffusion gauges in quantum dynamics simulations. For the physical systems with fermionic particles considered here, the numerical evaluation of the new diffusion gauges allows us to double the practical simulation time. This development may have far reaching consequences for future quantum dynamical simulations of many-body systems.
arXiv Detail & Related papers (2023-04-11T11:33:55Z)
Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z)
Resolution of 100 photons and quantum generation of unbiased random numbers [0.0]
Quantum detection of light is mostly relegated to the microscale. The ability to perform measurements to resolve photon numbers is highly desirable for a variety of quantum information applications. In this work, we extend photon measurement into the mesoscopic regime by implementing a detection scheme based on multiplexing highly quantum-efficient transition-edge sensors.
arXiv Detail & Related papers (2022-05-02T21:34:01Z)
Ultra-long photonic quantum walks via spin-orbit metasurfaces [52.77024349608834]
We report ultra-long photonic quantum walks across several hundred optical modes, obtained by propagating a light beam through very few closely-stacked liquid-crystal metasurfaces. With this setup we engineer quantum walks up to 320 discrete steps, far beyond state-of-the-art experiments.
arXiv Detail & Related papers (2022-03-28T19:37:08Z)
Bosonic field digitization for quantum computers [62.997667081978825]
We address the representation of lattice bosonic fields in a discretized field amplitude basis. We develop methods to predict error scaling and present efficient qubit implementation strategies.
arXiv Detail & Related papers (2021-08-24T15:30:04Z)
Simulating complex networks in phase space: Gaussian boson sampling [62.997667081978825]
We show how phase-space simulations of Gaussian quantum states in a photonic network permit verification of measurable correlations. We extend this to more than 16,000 modes, and describe how to simulate genuine multipartite entanglement.
arXiv Detail & Related papers (2021-02-20T13:12:51Z)
Boson sampling with random numbers of photons [0.0]
We show a novel boson sampling scheme where the probability of success increases instead of decreasing. This is achieved by sampling at the same time in the number of occupied input ports and the number of input photons per port.
arXiv Detail & Related papers (2020-06-05T17:53:07Z)

This list is automatically generated from the titles and abstracts of the papers in this site.