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Knill, Laflamme, and Milburn [Nature 409, 46 (2001)] have shown that quantum logic operations can be performed using linear optical elements and additional ancilla photons. Their approach is probabilistic in the sense that the logic devices…

Quantum Physics · Physics 2009-11-07 J. D. Franson , M. M. Donegan , M. J. Fitch , B. C. Jacobs , T. B. Pittman

Optical computing systems provide an alternate hardware model which appears to be aligned with the demands of neural network workloads. However, the challenge of implementing energy efficient nonlinearities in optics -- a key requirement…

Optics · Physics 2025-08-04 N. Richardson , C. Bosch , R. P. Adams

Discrete circular convolution over $\mathbb{Z}/N\mathbb{Z}$ is a linear operator and can be implemented on quantum hardware within the linear-combination-of-unitaries (LCU) framework. In this work, we make this connection explicit through…

Quantum Physics · Physics 2026-03-17 Chen Yang , Kodai Kanemaru , Norio Yoshida , Sergey Gusarov , Hiroshi C. Watanabe

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…

Quantum Physics · Physics 2009-10-30 N. J. Cerf , C. Adami , P. G. Kwiat

A design framework to implement non-unitary input-output operations to a practical unitary photonic integrated circuit is described. This is achieved by utilising the cosine-sine decomposition to recover the unitarity of the original…

Optics · Physics 2025-01-15 Hussein Talib , Phillip D. Sewell , Ana Vukovic , Sendy Phang

This paper presents a scheme for linear-optical implementation of a programmable quantum router. Polarization encoded photon qubit is coherently routed to various spatial modes according to the state of several control qubits. In our…

Quantum Physics · Physics 2013-07-01 Karel Lemr , Antonín Černoch

Nonlinear spectroscopy is a cornerstone of quantum science, providing unique access to multi-point correlations, quantum coherence, and couplings that are invisible to linear methods. However, classical simulation of these phenomena is…

Quantum Physics · Physics 2026-04-20 Long Xiong , Xiaoyang Wang , Xiaoxia Cai , Xiao Yuan

We introduce a novel method to perform linear optical random projections without the need for holography. Our method consists of a computationally trivial combination of multiple intensity measurements to mitigate the information loss…

Highly coherent optical sources are a key element in several fields of physics, in particular in time frequency metrology. Over the past decennia, there has been particular efforts in developing such sources to the expense of sophisticated…

Optics · Physics 2021-08-10 Mehdi Alouini , Gwennael Danion , Marc Vallet

The general transformation of the product of coherent states $\prod_{i=1}^N|\alpha_i>$ to the output state $\prod_{i=1}^M|\beta_i>$ ($N=M$ or $N\neq M$), which is realizable with linear optical circuit, is characterized with a linear map…

Quantum Physics · Physics 2008-05-21 Bing He , János A. Bergou

We propose and demonstrate a new imaging technique to noninvasively see through scattering layers with the aid of a spatial light modulator (SLM). A relay system projects the incoherent light pattern emitting from the scattering layer onto…

Optics · Physics 2019-05-30 Saswata Mukherjee , A. Vijayakumar , Joseph Rosen

Optical information processing and computing can potentially offer enhanced performance, scalability and energy efficiency. However, achieving nonlinearity-a critical component of computation-remains challenging in the optical domain. Here…

A functioning quantum computer will be a machine that builds up, in a programmable way, nonclassical correlations in a multipartite quantum system. Linear optics quantum computation (LOQC) is an approach for achieving this function that…

Mesoscale and Nanoscale Physics · Physics 2010-06-09 Luca Chirolli , Guido Burkard , Shwetank Kumar , David P. DiVincenzo

Spatial qudits are D-dimensional ($D\geq 2$) quantum systems carrying information encoded in the discretized transverse momentum and position of single photons. We present a proof-of-principle demonstration of a method for preparing…

Quantum Physics · Physics 2013-11-19 M. A. Solís-Prosser , A. Arias , J. J. M. Varga , L. Rebón , S. Ledesma , C. Iemmi , L. Neves

We demonstrate a method for general linear optical networks that allows one to factorize any SU($n$) matrix in terms of two SU($n-1)$ blocks coupled by an SU(2) entangling beam splitter. The process can be recursively continued in an…

Quantum Physics · Physics 2018-03-07 Hubert de Guise , Olivia Di Matteo , Luis L. Sanchez-Soto

As an optical processor, a Diffractive Deep Neural Network (D2NN) utilizes engineered diffractive surfaces designed through machine learning to perform all-optical information processing, completing its tasks at the speed of light…

Optics · Physics 2024-01-22 Xilin Yang , Md Sadman Sakib Rahman , Bijie Bai , Jingxi Li , Aydogan Ozcan

We give an overview of linear optics quantum computing, focusing on the results from the original KLM paper. First we give a brief summary of the advances made with optics for quantum computation prior to KLM. We next discuss the KLM linear…

Quantum Physics · Physics 2007-05-23 C. R. Myers , R. Laflamme

The optical beam splitter is a widely-used device in photonics-based quantum information processing. Specifically, linear optical networks demand large numbers of beam splitters for unitary matrix realization. This requirement comes from…

Quantum Physics · Physics 2019-09-04 Shuto Osawa , David S. Simon , Alexander V. Sergienko

The characterization of a unitary gate is experimentally accomplished via Quantum Process Tomography, which combines the outcomes of different projective measurements to reconstruct the underlying operator. The process matrix is typically…

Quantum Physics · Physics 2025-09-17 Tareq Jaouni , Francesco Di Colandrea , Lorenzo Amato , Filippo Cardano , Ebrahim Karimi

Electronic computers have evolved drastically over the past years with an ever-growing demand for improved performance. However, the transfer of information from memory and high energy consumption have emerged as issues that require…

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