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We report the first experimental demonstration of an all-optical one-way implementation of Deutsch's quantum algorithm on a four-qubit cluster state. All the possible configurations of a balanced or constant function acting on a two-qubit…

Quantum Physics · Physics 2013-12-25 M. S. Tame , R. Prevedel , M. Paternostro , P. Böhi , M. S. Kim , A. Zeilinger

We propose an implementation of a quantum computer to solve Deutsch's problem, which requires exponential time on a classical computer but only linear time with quantum parallelism. By using a dual-rail qubit representation as a simple form…

Quantum Physics · Physics 2009-10-28 I. L. Chuang , Y. Yamamoto

Deutsch's algorithm is the simplest quantum algorithm which shows the acceleration of quantum computer. In this paper, we theoretically advance a scheme to implement quantum Deutsch's algorithm in spin-orbital angular momentum space. Our…

Quantum Physics · Physics 2012-07-25 Pei Zhang , Yan Jiang , Rui-Feng Liu , Hong Gao , Hong-Rong Li , Fu-Li Li

We report an experiment to demonstrate a quantum permutation determining algorithm with linear optical system. By employing photon polarization and spatial modes, we realize the quantum ququart states and all the essential permutation…

Quantum Physics · Physics 2015-06-19 Feiran Wang , Yunlong Wang , Ruifeng Liu , Dongxu Chen , Pei Zhang , Hong Gao , Fuli Li

In the rapidly growing area of quantum information, the Deutsch algorithm is ubiquitous and, in most cases, the first one to be introduced to any student of this relatively new field of research. The reason for this historical relevance…

Quantum Physics · Physics 2019-03-18 Yohan Vianna , Mariana R. Barros , Malena Hor-Meyll

Quantum computing has brought a paradigm change in computer science, where non-classical technologies have promised to outperform their classical counterpart. Such an advantage was only demonstrated for tasks without practical applications,…

Systems of linear equations are used to model a wide array of problems in all fields of science and engineering. Recently, it has been shown that quantum computers could solve linear systems exponentially faster than classical computers,…

Quantum information processing has been one of the pillars of the new information age. In this sense, the control and processing of quantum information plays a fundamental role, and computers capable of manipulating such information have…

The development of new techniques to improve measurements is crucial for all sciences. By employing quantum systems as sensors to probe some physical property of interest allows the application of quantum resources, such as coherent…

Quantum Physics · Physics 2019-05-15 G. H. Aguilar , M. A. de Souza , R. M. Gomes , J. Thompson , M. Gu , L. C. Céleri , S. P. Walborn

We present a novel approach to quantum algorithms, by taking advantage of modular values, i.e., complex and unbounded quantities resulting from specific post-selected measurement scenarios. Our focus is on the problem of ascertaining…

Quantum Physics · Physics 2024-06-12 Lorena Ballesteros Ferraz , Timoteo Carletti , Yves Caudano

We implemented the refined Deutsch-Jozsa algorithm on a 3-bit nuclear magnetic resonance quantum computer, which is the meaningful test of quantum parallelism because qubits are entangled. All of the balanced and constant functions were…

Quantum Physics · Physics 2009-10-31 Jaehyun Kim , Jae-Seung Lee , Soonchil Lee , Chaejoon Cheong

We use Deutsch's algorithm as a stand in for more complex quantum algorithms in order to determine how quantum properties of an environment manifest themselves in results that can be obtained on quantum computers. We model pure dephasing in…

Quantum Physics · Physics 2026-05-20 Małgorzata Strzałka , Katarzyna Roszak

In this paper, we report on experimental implementation of a linear-optical quantum router. Our device allows single-photon polarization-encoded qubits to be routed coherently into two spatial output modes depending on the state of two…

Quantum Physics · Physics 2018-09-12 Karol Bartkiewicz , Antonín Černoch , Karel Lemr

We propose a scheme to implement the Deutsch's algorithm through non-degenerate four-wave mixing process. By employing photon topological charges of optical vortices, we demonstrate the ability to realize the necessary four logic gates for…

Quantum Physics · Physics 2015-06-11 Mingtao Cao , Liang Han , Ruifeng Liu , Hao Liu , Dong Wei , Pei Zhang , Yu Zhou , Wenge Guo , Shougang Zhang , Hong Gao , Fuli Li

We theoretically and experimentally investigate conditional enhancement of overall coherence of quantum states by probabilistic quantum operations that apply to the input state a quantum filter diagonal in the basis of incoherent states. We…

Quantum Physics · Physics 2021-08-03 Robert Stárek , Michal Mičuda , Michal Kolář , Radim Filip , Jaromír Fiurášek

The first optical proposal for the realization of the two-bit version of the Deutsch-Jozsa algorithm [D. Deutsch and R. Jozsa, Proc. R. Soc. London A {\bf 493}, 553 (1992)] is presented. The proposal uses Stark shifts in an ensemble of…

Quantum Physics · Physics 2007-05-23 Shubhrangshu Dasgupta , G. S. Agarwal

In this work, we simulate the behavior of photons in a laboratory experiment using a quantum computer and examine how the simulation results compare with the theoretical predictions. The experiment involves both protective and…

Quantum Physics · Physics 2025-08-13 Priyasheel Prasad , Marco Russo , Bartolomeo Montrucchio

We propose a realization of quantum computing using polarized photons. The information is coded in two polarization directions of the photons and two-qubit operations are done using conditional Faraday effect. We investigate the performance…

Quantum Physics · Physics 2007-05-23 P. Torma , S. Stenholm

Quantum computers have long been expected to efficiently solve complex classical differential equations. Most digital, fault-tolerant approaches use Carleman linearization to map nonlinear systems to linear ones and then apply quantum…

Optical computing harnesses the speed of light to perform vector-matrix operations efficiently. It leverages interference, a cornerstone of quantum computing algorithms, to enable parallel computations. In this work, we interweave quantum…

Quantum Physics · Physics 2024-10-14 Mwezi Koni , Hadrian Bezuidenhout , Isaac Nape
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