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An important challenge with the current generation of noisy, large-scale quantum computers is the question of validation. Does the hardware generate correct answers? If not, what are the errors? This issue is often combined with questions…

Quantum Physics · Physics 2025-07-11 Alexander S. Dellios , Margaret D. Reid , Peter D. Drummond

Gaussian boson sampling (GBS) is not only a feasible protocol for demonstrating quantum computational advantage, but also mathematically associated with certain graph-related and quantum chemistry problems. In particular, it is proposed…

Gaussian Boson Sampling (GBS) provides a route toward demonstrating quantum computational advantage. However, optical loss, which reduces the entanglement in the system, can render GBS results classically simulable. We propose a nonlinear…

Quantum Physics · Physics 2026-05-29 Yukuan Zhao , Xiao-Ye Xu , Chuan-Feng Li , Guang-Can Guo

We study what is arguably the most experimentally appealing Boson Sampling architecture: Gaussian states sampled with threshold detectors. We show that in this setting, the probability of observing a given outcome is related to a matrix…

Quantum Physics · Physics 2018-12-26 Nicolás Quesada , Juan Miguel Arrazola , Nathan Killoran

Gaussian Boson Sampling (GBS) is a promising candidate for demonstrating quantum computational advantage and can be applied to solving graph-related problems. In this work, we propose Markov chain Monte Carlo-based algorithms to sample from…

Quantum Physics · Physics 2025-10-31 Yexin Zhang , Shuo Zhou , Xinzhao Wang , Ziruo Wang , Ziyi Yang , Rui Yang , Yecheng Xue , Tongyang Li

A universal quantum computer of large scale is not available yet, however, intermediate models of quantum computation would still permit demonstrations of a quantum computational advantage over classical computing and could challenge the…

Quantum Physics · Physics 2024-11-15 Raphael A. Abrahao , Arman Mansouri , Austin P. Lund

We develop an alternative boson sampling model operating on single-photon states followed by linear interferometry and Gaussian measurements. The hardness proof for simulating such continuous-variable measurements is established in two main…

Quantum Physics · Physics 2017-09-19 Levon Chakhmakhchyan , Nicolas J. Cerf

We propose efficient classical algorithms which (strongly) simulate the action of bosonic linear optics circuits applied to superpositions of Gaussian states. Our approach relies on an augmented covariance matrix formalism to keep track of…

Quantum Physics · Physics 2025-11-19 Beatriz Dias , Robert Koenig

Quantum photonic processors are emerging as promising platforms to prove preliminary evidence of quantum computational advantage towards the realization of universal quantum computers. In the context of non-universal noisy intermediate…

Quantum Physics · Physics 2025-01-14 Denis Stanev , Taira Giordani , Nicolò Spagnolo , Fabio Sciarrino

We report new Gaussian boson sampling experiments with pseudo-photon-number-resolving detection, which register up to 255 photon-click events. We consider partial photon distinguishability and develop a more complete model for the…

A central task in many applications is reasoning about processes that change over continuous time. Continuous-Time Bayesian Networks is a general compact representation language for multi-component continuous-time processes. However, exact…

Artificial Intelligence · Computer Science 2012-06-18 Tal El-Hay , Nir Friedman , Raz Kupferman

BosonSampling is an intermediate model of quantum computation where linear-optical networks are used to solve sampling problems expected to be hard for classical computers. Since these devices are not expected to be universal for quantum…

Quantum Physics · Physics 2016-01-27 Scott Aaronson , Daniel J. Brod

Boson-Sampling is a classically computationally hard problem that can - in principle - be efficiently solved with quantum linear optical networks. Very recently, a rush of experimental activity has ignited with the aim of developing such…

Quantum Physics · Physics 2020-05-15 C. Gogolin , M. Kliesch , L. Aolita , J. Eisert

Random point patterns are ubiquitous in nature, and statistical models such as point processes, i.e., algorithms that generate stochastic collections of points, are commonly used to simulate and interpret them. We propose an application of…

Quantum Physics · Physics 2020-03-04 Soran Jahangiri , Juan Miguel Arrazola , Nicolás Quesada , Nathan Killoran

Simulating vibronic spectra is a central task in physical chemistry, offering insight into important properties of molecules. Recently, it has been experimentally demonstrated that photonic platforms based on Gaussian boson sampling (GBS)…

We present a quantum algorithm for efficiently sampling transformed Gaussian random fields on $d$-dimensional domains, based on an enhanced version of the classical moving average method. Pointwise transformations enforcing boundedness are…

Quantum Physics · Physics 2025-08-20 Matthias Deiml , Daniel Peterseim

Gaussian process emulators of computationally expensive computer codes provide fast statistical approximations to model physical processes. The training of these surrogates depends on the set of design points chosen to run the simulator.…

Computation · Statistics 2016-08-16 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev

We study the classical complexity of the exact Boson Sampling problem where the objective is to produce provably correct random samples from a particular quantum mechanical distribution. The computational framework was proposed by Aaronson…

Data Structures and Algorithms · Computer Science 2017-10-19 Peter Clifford , Raphaël Clifford

Since its introduction Boson Sampling has been the subject of intense study in the world of quantum computing. The task is to sample independently from the set of all $n \times n$ submatrices built from possibly repeated rows of a larger $m…

Quantum Physics · Physics 2020-05-27 Peter Clifford , Raphaël Clifford

Gaussian boson sampling (GBS) is a prominent candidate for the experimental demonstration of quantum advantage. However, while the current implementations of GBS are unavoidably subject to noise, the robustness of the classical…

Quantum Physics · Physics 2025-11-12 Byeongseon Go , Changhun Oh , Hyunseok Jeong