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Realistic physical implementations of quantum computers can entail tradeoffs which depart from the ideal model of quantum computation. Although these tradeoffs have allowed successful demonstration of certain quantum algorithms, a crucial…

量子物理 · 物理学 2007-05-23 Xinlan Zhou , Debbie W. Leung , Isaac L. Chuang

Attempts to find new quantum algorithms that outperform classical computation have focused primarily on the nonabelian hidden subgroup problem, which generalizes the central problem solved by Shor's factoring algorithm. We suggest an…

量子物理 · 物理学 2008-07-10 Andrew M. Childs , Leonard J. Schulman , Umesh V. Vazirani

We describe how one may go about performing quantum computation with arbitrary "quantum stuff", as long as it has some basic physical properties. Imagine a long strip of stuff, equipped with regularly spaced wires to provide input settings…

量子物理 · 物理学 2019-12-03 Lucien Hardy , Adam G. M. Lewis

Over the last decade, Quantum Computing hardware has rapidly developed and become a very intriguing, promising, and active research field among scientists worldwide. To achieve the desired quantum functionalities, quantum algorithms require…

量子物理 · 物理学 2022-09-05 Shamminuj Aktar , Abdel-Hameed A. Badawy , Nandakishore Santhi

In this research notebook in the four-part, quantum computation and applications, quantum computation and algorithms, quantum communication protocol, and universal quantum computation for quantum engineers, researchers, and scientists, we…

量子物理 · 物理学 2021-01-07 Bhupesh Bishnoi

Quantum networks offer a unifying set of opportunities and challenges across exciting intellectual and technical frontiers, including for quantum computation, communication, and metrology. The realization of quantum networks composed of…

量子物理 · 物理学 2009-11-13 H. J. Kimble

We propose models of quantum neural networks through Clifford algebras, which are capable of capturing geometric features of systems and to produce entanglement. Due to their representations in terms of Pauli matrices, the Clifford algebras…

量子物理 · 物理学 2022-06-07 Marco A. S. Trindade , Vinicius N. L. Rocha , S. Floquet

A quantum computer is a multi-particle interferometer that comprises beam splitters at both ends and arms, where the n two-level particles undergo the interactions among them. The arms are designed so that relevant functions required to…

量子物理 · 物理学 2007-05-23 F. Yamaguchi , C. P. Master , Y. Yamamoto

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…

量子物理 · 物理学 2013-12-25 M. S. Tame , R. Prevedel , M. Paternostro , P. Böhi , M. S. Kim , A. Zeilinger

In this article, we present an introduction to quantum computing (QC) tailored for computing professionals such as programmers, machine learning engineers, and data scientists. Our approach abstracts away the physics underlying QC, which…

量子物理 · 物理学 2025-05-09 M M Hassan Mahmud , Daniel Goldsmith

Quantum algorithms require a universal set of gates that can be implemented in a physical system. For these, an optimal decomposition into a sequence of available operations is desired. Here, we present a method to find such sequences for a…

量子物理 · 物理学 2016-07-22 Esteban A. Martinez , Thomas Monz , Daniel Nigg , Philipp Schindler , Rainer Blatt

In this paper we discuss how we can design Hamiltonians to implement quantum algorithms, in particular we focus in Deutsch and Grover algorithms. As main result of this paper, we show how Hamiltonian inverse quantum engineering method allow…

量子物理 · 物理学 2018-04-25 Alan C Santos

One of the biggest concerns among cybersecurity professionals these days is the hype around quantum computing, its incomprehensible power, and its implications. The advancement in quantum computing has the potential to revolutionize our…

科普物理 · 物理学 2022-03-15 Tajdar Jawaid

We present a quantum algorithm solving the greatest common divisor (GCD) problem. This quantum algorithm possesses similar computational complexity with classical algorithms, such as the well-known Euclidean algorithm for GCD. This…

量子物理 · 物理学 2017-08-02 Wen Wang , Xu Jiang , Liang-zhu Mu , Heng Fan

We create a variety of new quantum algorithms that use Grover's algorithm and similar techniques to give polynomial speedups over their classical counterparts. We begin by introducing a set of tools that carefully minimize the impact of…

量子物理 · 物理学 2007-05-23 Bartholomew Furrow

In this paper is presented an abstract theory of quantum processors and controllers, special kind of quantum computational network defined on a composite quantum system with two parts: the controlling and controlled subsystems. Such…

量子物理 · 物理学 2010-05-12 Alexander Yu. Vlasov

The discovery of an algorithm for factoring which runs in polynomial time on a quantum computer has given rise to a concerted effort to understand the principles, advantages, and limitations of quantum computing. At the same time, many…

量子物理 · 物理学 2007-05-23 Chris Adami , Jonathan P. Dowling

Quantum computers hold the promise to solve certain computational task much more efficiently than classical computers. We review the recent experimental advancements towards a quantum computer with trapped ions. In particular, various…

量子物理 · 物理学 2008-11-20 H. Haeffner , C. F. Roos , R. Blatt

We describe the experimental implementation of a recently proposed quantum algorithm involving quantum entanglement at the level of two qubits using NMR. The algorithm solves a generalisation of the Deutsch problem and distinguishes between…

量子物理 · 物理学 2009-11-06 Kavita Dorai , Arvind , Anil Kumar

An alternative quantum algorithm for the discrete logarithm problem is presented. The algorithm uses two quantum registers and two Fourier transforms whereas Shor's algorithm requires three registers and four Fourier transforms. A crucial…

量子物理 · 物理学 2007-05-23 Wim van Dam