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This work presents a theoretical model of boson sampling with optical feedback, in which a subset of the interferometer's output modes is looped back into the input modes. If the bosons are injected periodically into the input modes of the…

Quantum Physics · Physics 2026-02-06 Yu. A. Biriukov , I. V. Dyakonov

We present a classical algorithm for approximating the expectation values of observables in linear-optical circuits with arbitrary product input states, achieving additive-error accuracy. This result indicates that current applications of…

Quantum Physics · Physics 2025-11-17 Youngrong Lim , Changhun Oh

The demonstration of quantum speedup, also known as quantum computational supremacy, that is the ability of quantum computers to outperform dramatically their classical counterparts, is an important milestone in the field of quantum…

Quantum Physics · Physics 2021-11-17 Ulysse Chabaud , Frédéric Grosshans , Elham Kashefi , Damian Markham

Sampling from the output distributions of quantum computations comprising only commuting gates, known as instantaneous quantum polynomial (IQP) computations, is believed to be intractable for classical computers, and hence this task has…

Quantum Physics · Physics 2025-03-07 Joel Rajakumar , James D. Watson , Yi-Kai Liu

We present a variation of a quantum algorithm for the machine learning task of classification with graph-structured data. The algorithm implements a feature extraction strategy that is based on Gaussian boson sampling (GBS) a near term…

Quantum Physics · Physics 2026-05-13 Amanuel Anteneh , Olivier Pfister

This work proposes a digital quantum simulation protocol for the linear scattering process of bosons, which provides a simple extension to partially distinguishable boson cases. Our protocol is achieved by combining the boson-fermion…

Quantum Physics · Physics 2023-05-10 Seungbeom Chin , Jaehee Kim , Joonsuk Huh

Quantum computers solve intractable problems which classically require an exponentially long time to compute. With the development of large-scale experiments that claim quantum advantage, a vital issue has now emerged. What are the errors,…

Quantum Physics · Physics 2026-04-15 Ned Goodman , Alexander S. Dellios , Margaret D. Reid , Peter D. Drummond

Linear regression is a data analysis technique, which is categorized as supervised learning. By utilizing known data, we can predict unknown data. Recently, researchers have explored the use of quantum annealing (QA) to perform linear…

Quantum Physics · Physics 2024-10-14 Asuka Koura , Takashi Imoto , Katsuki Ura , Yuichiro Matsuzaki

When performing data classification over a stream of continuously occurring instances, a key challenge is to develop an open-world classifier that anticipates instances from an unknown class. Studies addressing this problem, typically…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Yang Gao , Swarup Chandra , Zhuoyi Wang , Latifur Khan

We explore the conditions under which identical particles in unitary linear networks behave as the other species, i.e. bosons as fermions and fermions as bosons. It is found that the Boson-Sampling computer of Aaronson & Arkhipov can be…

Quantum Physics · Physics 2015-03-24 Valery S. Shchesnovich

Results on the hardness of approximate sampling are seen as important stepping stones towards a convincing demonstration of the superior computational power of quantum devices. The most prominent suggestions for such experiments include…

Quantum Physics · Physics 2019-05-31 Dominik Hangleiter , Martin Kliesch , Jens Eisert , Christian Gogolin

BosonSampling and Random Circuit Sampling are important both as a theoretical tool for separating quantum and classical computation, and as an experimental means of demonstrating quantum speedups. Prior works have shown that average-case…

Quantum Physics · Physics 2025-09-05 Adam Bouland , Ishaun Datta , Bill Fefferman , Felipe Hernandez

Quantum computing aims at exploiting quantum phenomena to efficiently perform computations that are unfeasible even for the most powerful classical supercomputers. Among the promising technological approaches, photonic quantum computing…

In linear optics, photons are scattered in a network through passive optical elements including beamsplitters and phase shifters, leading to many intriguing applications in physics, such as Mach-Zehnder interferometry, Hong-Ou-Mandel…

Quantum Physics · Physics 2016-08-02 Man-Hong Yung , Xun Gao , Joonsuk Huh

We introduce a connection between a near-term quantum computing device, specifically a Gaussian boson sampler, and the graph isomorphism problem. We propose a scheme where graphs are encoded into quantum states of light, whose properties…

Quantum Physics · Physics 2021-04-08 Kamil Bradler , Shmuel Friedland , Josh Izaac , Nathan Killoran , Daiqin Su

For near-term quantum devices, an important challenge is to develop efficient methods to certify that noise levels are low enough to allow potentially useful applications to be carried out. We present such a method tailored to photonic…

Quantum Physics · Physics 2022-02-11 Rawad Mezher , Shane Mansfield

We introduce a simple two-level boson model with the same energy surface as the Q-consistent Interacting Boson Model Hamiltonian. The model can be diagonalized for large number of bosons and the results used to check analytical finite-size…

Nuclear Theory · Physics 2007-05-23 J. Vidal , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

Quantum signal processing (QSP), which enables systematic polynomial transformations on quantum data through sequences of qubit rotations, has emerged as a fundamental building block for quantum algorithms and data re-uploading quantum…

Open quantum systems are ubiquitous in the physical sciences, with widespread applications in the areas of chemistry, condensed matter physics, material science, optics, and many more. Not surprisingly, there is significant interest in…

Quantum Physics · Physics 2023-07-13 Isobel A. Aloisio , Gregory A. L. White , Charles D. Hill , Kavan Modi

Over the past few years, various methods have been developed to engineeer and to exploit the dynamics of photonic quantum states as they evolve through linear optical networks. Recent theoretical works have shown that the underlying Lie…

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