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Using resonant interaction of three Rydberg atoms with a single-mode microwave cavity, we consider a realization of three-qubit Grover search algorithm in the presence of weak cavity decay, based on a previous idea for three-qubit quantum…

量子物理 · 物理学 2009-11-13 W. L. Yang , C. Y. Chen , M. Feng

Following the proposal by F. Yamaguchi et al.[Phys. Rev. A 66, 010302 (R) (2002)], we present an alternative way to implement the two-qubit Grover search algorithm in cavity QED. Compared with F. Yamaguchi et al.'s proposal, with a strong…

量子物理 · 物理学 2009-11-11 Z. J. Deng , M. Feng , K. L. Gao

We present efficient methods to implement the quantum computing Grover search algorithm using the Rydberg blockade interaction. We show that simple pi-pulse excitation sequences between ground and Rydberg excited states readily produce the…

量子物理 · 物理学 2013-10-31 Klaus Molmer , Larry Isenhower , Mark Saffman

Recent studies have been spurred on by the promise of advanced quantum computing technology, which has led to the development of quantum computer simulations on classical hardware. Grover's quantum search algorithm is one of the well-known…

We invoke an efficient search algorithms as a key challenge in multi-qubit quantum systems. An original algorithm called dynamical quantum search algorithm from which Grover algorithm is obtained at a specified time is presented. This…

量子物理 · 物理学 2015-09-17 A. H. Homid , Mahmoud Abdel-Aty , A. -S. F. Obada

We study universal quantum computation in the cavity quantum electrodynamics (CQED) framework exploiting two orthonormal two-photon generalized binomial states as qubit and dispersive interactions of Rydberg atoms with high-$Q$ cavities. We…

量子物理 · 物理学 2010-03-30 Rosario Lo Franco , Giuseppe Compagno , Antonino Messina , Anna Napoli

We report the experimental implementation of Grover's quantum search algorithm on a quantum computer with three quantum bits. The computer consists of molecules of $^{13}$C-labeled CHFBr$_2$, in which the three weakly coupled spin-1/2…

We study the possibility of an implementation of N-qubit (N>3) Grover search in cavity QED, based on a fast operation of N-qubit controlled phase-flip with atoms in resonance with the cavity mode. We demonstrate both analytically and…

量子物理 · 物理学 2008-10-07 H. Q. Fan , W. L. Yang , X. R. Huang , M. Feng

We propose an implementation of the quantum search algorithm of a marked item in an unsorted list of N items by adiabatic passage in a cavity-laser-atom system. We use an ensemble of N identical three-level atoms trapped in a single-mode…

量子物理 · 物理学 2007-10-30 D. Daems , S. Guérin

We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift with atoms in a cavity. In the scheme the atoms interact simultaneously with a highly detuned cavity mode and a classical field. The…

量子物理 · 物理学 2012-02-27 Shi-Biao Zheng

Searching large databases is an important problem with broad applications. The Grover search algorithm provides a powerful method for quantum computers to perform searches with a quadratic speedup in the number of required database queries…

量子物理 · 物理学 2017-12-05 C. Figgatt , D. Maslov , K. A. Landsman , N. M. Linke , S. Debnath , C. Monroe

We analyze three different quantum search algorithms, the traditional Grover's algorithm, its continuous-time analogue by Hamiltonian evolution, and finally the quantum search by local adiabatic evolution. We show that they are closely…

量子物理 · 物理学 2009-11-10 J. Roland , N. J. Cerf

A scheme of implementing the Grover search algorithm based on Josephson charge qubits has been proposed, which would be a key step to scale more complex quantum algorithms and very important for constructing a real quantum computer via…

超导电性 · 物理学 2009-11-11 Xiao-Hu Zheng , Ping Dong , Zheng-Yuan Xue , Zhuo-Liang Cao

We consider the Grover search algorithm implementation for a quantum register of size $N = 2^k$ using k (or k +1) microwave- and laser-driven Rydberg-blockaded atoms, following the proposal by M{\o}lmer, Isenhower, and Saffman [J. Phys. B…

量子物理 · 物理学 2025-05-05 David Petrosyan , Mark Saffman , Klaus Mølmer

By harnessing the superposition and entanglement of physical states, quantum computers could outperform their classical counterparts in solving problems of technological impact, such as factoring large numbers and searching databases. A…

We propose a simpler and more efficient scheme for the implementation of the multi-valued Grover's quantum search. The multi-valued search generalizes the original Grover's search by replacing qubits with qudits --- quantum systems of $d$…

量子物理 · 物理学 2012-09-21 S. S. Ivanov , H. S. Tonchev , N. V. Vitanov

The phenomenon of quantum entanglement is fundamental to the implementation of quantum computation, and requires at least two qubits for its demonstration. However, both Deutsch algorithm and Grover's search algorithm for two bits do not…

量子物理 · 物理学 2007-05-23 Arvind , N. Mukunda

A single three-level atom driven by a longitudinal mode of a high-Q cavity is used to implement two-qubit quantum phase gates for the intracavity field. The two qubits are associated to the zero-and one-photon Fock states of each of the two…

量子物理 · 物理学 2016-08-16 R. García--Maraver , R. Corbalán , K. Eckert , S. Rebić , M. Artoni , J. Mompart

Quantum algorithm, as compared to classical algorithm, plays a notable role in solving linear systems of equations with an exponential speedup. Here, we demonstrate a method for solving a particular system of equations by using the concept…

量子物理 · 物理学 2019-08-20 Rituparna Maji , Bikash K. Behera , Prasanta K. Panigrahi

Cavity QED is a versatile tool to explore small scale quantum information processing. Within this setting, we describe a particular protocol for implementing a Toffoli gate with Rydberg atoms and a cavity field. Our scheme uses both…

量子物理 · 物理学 2007-05-23 H. Ollivier , P. Milman
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