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We investigate the performance of Grover's quantum search algorithm on a register which is subject to loss of the particles that carry the qubit information. Under the assumption that the basic steps of the algorithm are applied correctly…

量子物理 · 物理学 2012-10-23 D. D. Bhaktavatsala Rao , Klaus Mølmer

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

The search problem is to find a state satisfying certain properties out of a given set. Grover's algorithm drives a quantum computer from a prepared initial state to the target state and solves the problem quadratically faster than a…

量子物理 · 物理学 2009-11-13 Avatar Tulsi

The number of steps any classical computer requires in order to find the prime factors of an $l$-digit integer $N$ increases exponentially with $l$, at least using algorithms known at present. Factoring large integers is therefore…

The research community has been actively working on the realization of quantum computer. But the large scale commercial quantum computers are not a reality yet quantum computing field has become richer by day with the advent of algorithms…

量子物理 · 物理学 2021-04-06 Ayan Chattopadhyay , Vikram Menon

We report the realization of a nuclear magnetic resonance computer with three quantum bits that simulates an adiabatic quantum optimization algorithm. Adiabatic quantum algorithms offer new insight into how quantum resources can be used to…

量子物理 · 物理学 2007-05-23 Matthias Steffen , Wim van Dam , Tad Hogg , Greg Breyta , Isaac Chuang

We report the realization, using nuclear magnetic resonance techniques, of the first quantum computer that reliably executes an algorithm in the presence of strong decoherence. The computer is based on a quantum error avoidance code that…

量子物理 · 物理学 2007-05-23 Jason E. Ollerenshaw , Daniel A. Lidar , Lewis E. Kay

It is suggested that the individual outcomes of a measurement process can be understood within standard quantum mechanics in terms of the measuring apparatus, treated as a quantum computer, executing Grover's search algorithm.

量子物理 · 物理学 2007-05-23 Manoj K. Samal , Partha Ghose

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…

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 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

We present a method for realizing efficiently Grover's search algorithm in an array of coupled cavities doped with three-level atoms. We show that by encoding information in the lowest two ground states of the dopants and through the…

量子物理 · 物理学 2010-03-03 Elica S. Kyoseva , Dimitris G. Angelakis , Kwek Leong Chuan

A quantum computer encodes information in quantum states and runs quantum algorithms to surpass the classical counterparts by exploiting quantum superposition and quantum correlation. Grover's quantum search algorithm is a typical quantum…

量子物理 · 物理学 2023-08-23 Yutong Huang , Shengshi Pang

A generalized quantum search algorithm, where phase inversions for the marked state and the prepared state are replaced by $\pi/2$ phase rotations, is realized in a 2-qubit NMR heteronuclear system. The quantum algorithm searches a marked…

量子物理 · 物理学 2009-11-06 G. L. Long , H. Y. Yan , Y. S. Li , C. C. Tu , J. X. Tao , H. M. Chen , M. L. Liu , X. Zhang , J. Luo , L. Xiao , X. Z. Zeng

Quantum algorithms are conventionally formulated for implementation on a single system of qubits amenable to projective measurements. However, in expectation value quantum computation, such as nuclear magnetic resonance realizations, the…

量子物理 · 物理学 2007-05-23 David Collins

We propose a method for implementation of a quantum computer using artificial molecules. The artificial molecule consists of two coupled quantum dots stacked along z direction and one single electron. One-qubit and two-qubit gates are…

量子物理 · 物理学 2009-10-31 Nan-Jian Wu , M. Kamada , A. Natori , H. Yasunaga

Grover search is a renowned quantum search algorithm that leverages quantum superposition to find a marked item with quadratic speedup. However, when implemented on Noisy Intermediate-scale Quantum (NISQ) hardware, the required repeated…

量子物理 · 物理学 2023-04-11 Chen-Yu Liu

We describe a quantum algorithm to prepare an arbitrary pure state of a register of a quantum computer with fidelity arbitrarily close to 1. Our algorithm is based on Grover's quantum search algorithm. For sequences of states with suitably…

量子物理 · 物理学 2007-05-23 Andrei N. Soklakov , Ruediger Schack

In this work we address two questions concerning Grover's algorithm. In the first we give an answer to the question how to employ Grover's algorithm for actual search over database. We introduce a quantum model of an unordered phone book…

量子物理 · 物理学 2014-06-26 Daniel Reitzner , Mario Ziman

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