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Although entanglement is widely considered to be necessary for quantum algorithms to improve on classical ones, Lloyd has observed recently that Grover's quantum search algorithm can be implemented without entanglement, by replacing…

Quantum Physics · Physics 2009-11-06 David A. Meyer

We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the…

Quantum Physics · Physics 2016-08-14 Marcin Zwierz , Carlos A. Pérez-Delgado , Pieter Kok

Besides the superior efficiency compared to their classical counterparts, quantum algorithms known so far are basically task-dependent, and scarcely any common features are shared between them. In this work, however, we show that the…

Quantum Physics · Physics 2019-03-08 Ye-Chao Liu , Jiangwei Shang , Xiangdong Zhang

We report the realization of a nuclear magnetic resonance (NMR) quantum computer which combines the quantum Fourier transform (QFT) with exponentiated permutations, demonstrating a quantum algorithm for order-finding. This algorithm has the…

We demonstrate the implementation of a quantum algorithm for estimating the number of matching items in a search operation using a two qubit nuclear magnetic resonance (NMR) quantum computer.

Quantum Physics · Physics 2009-01-23 J. A. Jones , M. Mosca

Quantum dense coding has been demonstrated experimentally in terms of quantum logic gates and circuits in quantum computation and NMR technique. Two bits of information have been transmitted through manipulating one of the maximally…

Quantum Physics · Physics 2009-10-31 Ximing Fang , Xiwen Zhu , Mang Feng , Xi'an Mao , Fei Du

We examine the "Guessing Secrets" problem arising in internet routing, in which the goal is to discover two or more objects from a known finite set. We propose a quantum algorithm using O(1) calls to an O(logN) oracle. This improves upon…

Quantum Physics · Physics 2007-05-23 Michael Nathanson

Entanglement plays a crucial role in quantum processes particularly those pertaining to quantum information and computation. An analytical expression for entanglement measure defined in terms of success rate of Grover's search algorithm has…

Quantum Physics · Physics 2007-05-23 Arti Chamoli , C. M. Bhandari

We describe in detail the application of four qubit cluster states, built on the simultaneous entanglement of two photons in the degrees of freedom of polarization and linear momentum, for the realization of a complete set of basic one-way…

Quantum Physics · Physics 2008-11-05 Giuseppe Vallone , Enrico Pomarico , Francesco De Martini , Paolo Mataloni

In this article, we present a novel approach to investigating entanglement in the context of quantum computing. Our methodology involves analyzing reduced density matrices at different stages of a quantum algorithm's execution and…

Quantum Physics · Physics 2024-03-14 Ruge Lin

Entanglement lies at the core of quantum algorithms designed to solve problems that are intractable by classical approaches. One such algorithm, quantum annealing (QA), provides a promising path to a practical quantum processor. We have…

Design of a large-scale quantum computer has paramount importance for science and technologies. We investigate a scheme for realization of quantum algorithms using noncomposite quantum systems, i.e., systems without subsystems. In this…

Quantum Physics · Physics 2015-04-07 E. O. Kiktenko , A. K. Fedorov , A. A. Strakhov , V. I. Man'ko

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

Quantum entanglement of identical particles is essential in quantum information theory. Yet, its correct determination remains an open issue hindering the general understanding and exploitation of many-particle systems. Operator-based…

Quantum Physics · Physics 2016-03-08 Rosario Lo Franco , Giuseppe Compagno

We demonstrate experimentally the usefulness of selective pulses in NMR to perform quantum computation. Three different techniques based on selective pulse excitations have been proposed to prepare a spin system in a pseudo-pure state. We…

Quantum Physics · Physics 2008-12-18 Kavita Dorai , Arvind , Anil Kumar

In quantum information, it is of high importance to efficiently detect entanglement. Generally, it needs quantum tomography to obtain state density matrix. However, it would consumes a lot of measurement resources, and the key is how to…

Quantum Physics · Physics 2022-05-31 Zi-Qi Lian , You-Yang Zhou , Liu-Jun Wang , Qing Chen

We firstly investigate the multipartite entanglement features of the quantum states, including the iteration states achieved by repeated application of Grover iteration and the Oracle ones into which the above iteration states evolve by…

Quantum Physics · Physics 2012-10-15 Ri Qu , Juan Wang , Zong-shang Li , Su-li Zhao , Yan-ru Bao , Xiao-chun Cao

A bare description of the seminal quantum algorithm devised by Deutsch could mean more than an introduction to quantum computing. It could contribute to opening the field to interdisciplinary research.

Quantum Physics · Physics 2017-10-13 Giuseppe Castagnoli

We present a distributed implementation of Shor's quantum factoring algorithm on a distributed quantum network model. This model provides a means for small capacity quantum computers to work together in such a way as to simulate a large…

Quantum Physics · Physics 2009-11-10 Anocha Yimsiriwattana , Samuel J. Lomonaco

Nuclear Magnetic Resonance (NMR) was successfully employed to test several protocols and ideas in Quantum Information Science. In most of these implementations the existence of entanglement was ruled out. This fact introduced concerns and…

Quantum Physics · Physics 2012-09-14 D. O. Soares-Pinto , R. Auccaise , J. Maziero , A. Gavini-Viana , R. M. Serra , L. C. Céleri
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