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We provide general sufficient conditions for the efficient classical simulation of quantum-optics experiments that involve inputting states to a quantum process and making measurements at the output. The first condition is based on the…

Quantum Physics · Physics 2016-06-23 Saleh Rahimi-Keshari , Timothy C. Ralph , Carlton M. Caves

Gaussian boson sampling is originally proposed to show quantum advantage with quantum linear optical elements. Recently, several experimental breakthroughs based on Gaussian boson sampling pointing to quantum computing supremacy have been…

Quantum Physics · Physics 2023-01-02 Tian-Yu Yang , Yi-Xin Shen , Zhou-Kai Cao , Xiang-Bin Wang

Machine learning is widely applied in modern society, but has yet to capitalise on the unique benefits offered by quantum resources. Boson sampling -- a quantum-interference based sampling protocol -- is a resource that is classically hard…

We introduce an algorithm for the classical simulation of Gaussian boson sampling that is quadratically faster than previously known methods. The complexity of the algorithm is exponential in the number of photon pairs detected, not the…

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…

We show that a distribution related to Gaussian Boson Sampling (GBS) on graphs can be sampled classically in polynomial time. Graphical applications of GBS typically sample from this distribution, and thus quantum algorithms do not provide…

Binary optimization is a fundamental area in computational science, with wide-ranging applications from logistics to cryptography, where the tasks are often formulated as Quadratic or Polynomial Unconstrained Binary Optimization problems…

Quantum Physics · Physics 2024-12-20 Jean Cazalis , Tirth Shah , Yahui Chai , Karl Jansen , Stefan Kühn

Quantum computation, aiming at tackling hard problems beyond classical approaches, has been flourishing with each passing day. Unfortunately, a fully scalable and fault-tolerant universal quantum computer remains challenging based on the…

While universal quantum computers ideally solve problems such as factoring integers exponentially more efficiently than classical machines, the formidable challenges in building such devices motivate the demonstration of simpler,…

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

Universal quantum computers promise a dramatic speed-up over classical computers but a full-size realization remains challenging. However, intermediate quantum computational models have been proposed that are not universal, but can solve…

Gaussian Boson Sampling (GBS) have shown advantages over classical methods for performing some specific sampling tasks. To fully harness the computational power of GBS, there has been great interest in identifying their practical…

Quantum Physics · Physics 2025-02-28 Jørgen Ellegaard Andersen , Shan Shan

Quantum mechanics promises computational powers beyond the reach of classical computers. Current technology is on the brink of an experimental demonstration of the superior power of quantum computation compared to classical devices. For…

Quantum Physics · Physics 2019-04-02 Jelmer Renema , Valery Shchesnovich , Raul Garcia-Patron

The search for new, application-specific quantum computers designed to outperform any classical computer is driven by the ending of Moore's law and the quantum advantages potentially obtainable. Photonic networks are promising examples,…

Quantum Physics · Physics 2018-04-10 Bogdan Opanchuk , Laura Rosales-Zarate , Margaret D Reid , Peter D Drummond

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

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

Gaussian Boson Samplers are photonic quantum devices with the potential to perform tasks that are intractable for classical systems. As with other near-term quantum technologies, an outstanding challenge is to identify specific problems of…

Quantum Physics · Physics 2020-06-29 Leonardo Banchi , Mark Fingerhuth , Tomas Babej , Christopher Ing , Juan Miguel Arrazola

Interference of multiple photons via a linear-optical network has profound applications for quantum foundation, quantum metrology and quantum computation. Particularly, a boson sampling experiment with a moderate number of photons becomes…

Quantum Physics · Physics 2018-09-05 Xu-Jie Wang , Bo Jing , Peng-Fei Sun , Chao-Wei Yang , Yong Yu , Vincenzo Tamma , Xiao-Hui Bao , Jian-Wei Pan

Boson sampling, thought to be intractable classically, can be solved by a quantum machine composed of merely generation, linear evolution and detection of single photons. Such an analog quantum computer for this specific problem provides a…

Quantum Physics · Physics 2018-11-12 Junjie Wu , Yong Liu , Baida Zhang , Xianmin Jin , Yang Wang , Huiquan Wang , Xuejun Yang

Gaussian boson sampling (GBS) is a near-term quantum computation framework that is believed to be classically intractable, but yet rich of potential applications. In this paper we study the intimate relation between distributions defined…

Quantum Physics · Physics 2019-10-10 Kamil Bradler , Robert Israel , Maria Schuld , Daiqin Su
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