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We propose an all-geometric implementation of quantum computation using neutral atoms in cavity QED. We show how to perform generic single- and two-qubit gates, the latter by encoding a two-atom state onto a single, many-level atom. We…

量子物理 · 物理学 2009-11-07 A. Recati , T. Calarco , P. Zanardi , J. I. Cirac , P. Zoller

Grover's algorithm is one of the most important quantum algorithms, which performs the task of searching an unsorted database without a priori probability. Recently the adiabatic evolution has been used to design and reproduce quantum…

量子物理 · 物理学 2007-05-23 Zhaohui Wei , Mingsheng Ying

We analyze the performance of classical and quantum search algorithms from a thermodynamic perspective, focusing on resources such as time, energy, and memory size. We consider two examples that are relevant to post-quantum cryptography:…

量子物理 · 物理学 2017-10-02 Ray Perlner , Yi-Kai Liu

The essential operations of a quantum computer can be accomplished using solely optical elements, with different polarization or spatial modes representing the individual qubits. We present a simple all-optical implementation of Grover's…

量子物理 · 物理学 2015-06-26 P. G. Kwiat , J. R. Mitchell , P. D. D. Schwindt , A. G. White

In order to understand the bounds of utilization of the Grover's search algorithm for the large unstructured data in presence of the quantum computer noise, we undertake a series of simulations by inflicting various types of noise, modelled…

量子物理 · 物理学 2020-10-28 Yulun Wang , Predrag S. Krstic

The rapid progress of computer science has been accompanied by a corresponding evolution of computation, from classical computation to quantum computation. As quantum computing is on its way to becoming an established discipline of…

其他计算机科学 · 计算机科学 2010-03-10 D. K. Ningtyas , A. B. Mutiara

The search operation for a marked state by means of Grover's quantum searching algorithm is shown to be an element of group SU(2) which acts on a 2-dimensional space spanned by the marked state and the unmarked collective state. Based on…

量子物理 · 物理学 2007-05-23 Sixia Yu , Chang-Pu Sun

With the increasing demand for quantum hardware, shared and multi-tenant environments have been proposed to optimize resource utilization. However, the multi-tenancy paradigm in quantum computing inherently introduces security threats. This…

量子物理 · 物理学 2026-04-10 Devika Mehra , Amir Kalev

Quantum computing has noteworthy speedup over classical computing by taking advantage of quantum parallelism, i.e., the superposition of states. In particular, quantum search is widely used in various computationally hard problems. Grover's…

量子物理 · 物理学 2021-03-29 Ji Liu , Huiyang Zhou

By studying the attribute of the inversion about average operation in quantum searching algorithm, we find the similarity between the quantum searching and the course of two rigid bodies'collision. Some related questions are discussed from…

量子物理 · 物理学 2009-09-25 Jingfu Zhang , Zhiheng Lu

The progress in building quantum computers to execute quantum algorithms has recently been remarkable. Grover's search algorithm in a binary quantum system provides considerable speed-up over classical paradigm. Further, Grover's algorithm…

量子物理 · 物理学 2022-08-24 Amit Saha , Ritajit Majumdar , Debasri Saha , Amlan Chakrabarti , Susmita Sur-Kolay

One of the significant breakthroughs in quantum computation is Grover's algorithm for unsorted database search. Recently, the applications of Grover's algorithm to solve global optimization problems have been demonstrated, where unknown…

量子物理 · 物理学 2017-11-22 Yan Wang

A quantum algorithm is a set of instructions for a quantum computer, however, unlike algorithms in classical computer science their results cannot be guaranteed. A quantum system can undergo two types of operation, measurement and quantum…

数据结构与算法 · 计算机科学 2007-05-30 Eva Borbely

Rydberg quantum gate serving as an indispensable computing unit for neutral-atom quantum computation, has attracted intense research efforts for the last decade. However the state-of-the-art experiments have not reached the high gate…

量子物理 · 物理学 2023-06-08 Rui Li , Jing Qian , Weiping Zhang

An algebraic analysis of Grover's quantum search algorithm is presented for the case in which the initial state is an arbitrary pure quantum state of n qubits. This approach reveals the geometrical structure of the quantum search process,…

量子物理 · 物理学 2009-11-11 D. Shapira , Y. Shimoni , O. Biham

Rydberg atom arrays offer flexible geometries of strongly-interacting neutral atoms, which are useful for many quantum applications such as quantum simulation and quantum computation. Here we consider a gate-based quantum computing scheme…

量子物理 · 物理学 2024-10-31 Seokho Jeong , Xiao-Feng Shi , Minhyuk Kim , Jaewook Ahn

Quantum computation, in particular Grover's algorithm, has aroused a great deal of interest since it allows for a quadratic speedup to be obtained in search procedures. Classical search procedures for an $N$ element database require at most…

数据结构与算法 · 计算机科学 2015-02-09 Luís Tarrataca , Andreas Wichert

The correction of errors is of fundamental importance for the development of contemporary computing devices and of robust communication protocols. In this paper we propose a scheme for the implementation of the three-qubit quantum…

量子物理 · 物理学 2015-05-19 Carlo Ottaviani , David Vitali

We propose an effective realization of the universal set of elementary quantum gates in solid state quantum computer based on macroscopic (or mesoscopic) resonance systems - multi-atomic coherent ensembles, squids or quantum dots in quantum…

量子物理 · 物理学 2013-01-11 F. M. Ablayev , S. N. Andrianov , S. A. Moiseev , A. V. Vasiliev

We discuss the quantum search algorithm using complex queries that has recently been published by Grover (quant-ph/9706005). We recall the algorithm adding some details showing which complex query has to be evaluated. Based on this version…

量子物理 · 物理学 2007-05-23 Markus Grassl , Thomas Beth