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We identify a broad class of physical processes in an optical quantum circuit that can be efficiently simulated on a classical computer: this class includes unitary transformations, amplification, noise, and measurements. This…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Barry C. Sanders

We obtain sufficient conditions for the efficient simulation of a continuous variable quantum algorithm or process on a classical computer. The resulting theorem is an extension of the Gottesman-Knill theorem to continuous variable quantum…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Barry C. Sanders , Samuel L. Braunstein , Kae Nemoto

The purpose of this paper is to show how a class of classical linear stochastic systems can be physically implemented using quantum optical components. Quantum optical systems typically have much higher bandwidth than electronic devices,…

量子物理 · 物理学 2013-07-24 Shi Wang , H. I. Nurdin , Guofeng Zhang , Matthew R. James

Quantum computing has the potential to revolutionize multiple fields by solving complex problems that can not be solved in reasonable time with current classical computers. Nevertheless, the development of quantum computers is still in its…

One of the core research questions in the theory of quantum computing is to find out to what precise extent the classical simulation of a noisy quantum circuits is possible and where potential quantum advantages can set in. In this work, we…

量子物理 · 物理学 2026-01-09 Janek Denzler , Jose Carrasco , Jens Eisert , Tommaso Guaita

In the effort to develop useful quantum computers simulating quantum machines with conventional computing resources is a key capability. Such simulations will always face limits preventing the emulation of quantum computers of substantial…

量子物理 · 物理学 2023-02-20 Xiaosi Xu , Simon Benjamin , Jinzhao Sun , Xiao Yuan , Pan Zhang

We identify "proper quantum computation" with computational processes that cannot be efficiently simulated on a classical computer. For optical quantum computation, we establish "no-go" theorems for classes of quantum optical experiments…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Barry C. Sanders

Constructing general programmable circuits to be able to run any given unitary operator efficiently on a quantum processor is of fundamental importance. We present a new quantum circuit design technique resulting two general programmable…

量子物理 · 物理学 2012-07-24 Anmer Daskin , Ananth Grama , Giorgos Kollias , Sabre Kais

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…

量子物理 · 物理学 2016-06-23 Saleh Rahimi-Keshari , Timothy C. Ralph , Carlton M. Caves

In this paper we present a novel approach to emulating a universal quantum computer with a classical system, one that uses a signal of bounded duration and amplitude to represent an arbitrary quantum state. The signal may be of any modality…

量子物理 · 物理学 2021-04-27 Brian R. La Cour , Granville E. Ott

It is well known in quantum optics that any process involving the preparation of a multimode gaussian state, followed by a gaussian operation and gaussian measurements, can be efficiently simulated by classical computers. Here, we provide…

量子物理 · 物理学 2025-08-22 Michael G. Jabbour , Leonardo Novo

We propose an efficient scheme for verifying quantum computations in the `high complexity' regime i.e. beyond the remit of classical computers. Previously proposed schemes remarkably provide confidence against arbitrarily malicious…

量子物理 · 物理学 2017-05-24 Richard Jozsa , Sergii Strelchuk

A systematic method for simulating small-scale quantum circuits by use of linear optical devices is presented. It relies on the representation of several quantum bits by a single photon, and on the implementation of universal quantum gates…

量子物理 · 物理学 2009-10-30 N. J. Cerf , C. Adami , P. G. Kwiat

Classical simulation is important because it sets a benchmark for quantum computer performance. Classical simulation is currently the only way to exercise larger numbers of qubits. To achieve larger simulations, sparse matrix processing is…

量子物理 · 物理学 2007-05-23 John Robert Burger

Quantum computers are becoming practical for computing numerous applications. However, simulating quantum computing on classical computers is still demanding yet useful because current quantum computers are limited because of computer…

量子物理 · 物理学 2023-08-08 Jun Doi , Hiroshi Horii , Christopher Wood

We consider quantum-classical hybrid machine learning in which large-scale input channels remain classical and small-scale working channels process quantum operations conditioned on classical input data. This does not require the conversion…

In this paper we investigate the linear and nonlinear models of optical quantum computation and discuss their scalability and efficiency. We show how there are significantly different scaling properties in single photon computation when…

量子物理 · 物理学 2009-11-11 Kae Nemoto , W. J. Munro

High fidelity coherent control of quantum systems is critical to building quantum devices and quantum computers. We provide a general optimal control framework for designing control sequences that account for hardware control distortions…

量子物理 · 物理学 2015-08-26 Ian N. Hincks , Christopher Granade , Troy W. Borneman , D. G. Cory

Many quantum algorithms make use of oracles which evaluate classical functions on a superposition of inputs. In order to facilitate implementation, testing, and resource estimation of such algorithms, we present quantum circuits for…

量子物理 · 物理学 2018-06-01 Thomas Häner , Martin Roetteler , Krysta M. Svore

Quantum computing has attracted much attention in recent decades, since it is believed to solve certain problems substantially faster than traditional computing methods. Theoretically, such an advance can be obtained by networks of the…

光学 · 物理学 2022-12-21 Yifan Sun , Qian Li , Ling-Jun Kong , Jiangwei Shang , Xiangdong Zhang
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