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Multi-objective search means searching for any one of several objectives in an unstructured database. Grover's algorithm has quadratic acceleration in multi-objection search than classical ones. Iterated operator in Grover's algorithm is a…

Quantum Physics · Physics 2024-09-10 Hao Li , Daowen Qiu , Le Luo

We question whether the measurement based quantum computing algorithm is in fact Grover's algorithm or simply a similar oracular search method. The two algorithms share several qualitative features especially in the case of the trivial 4…

Quantum Physics · Physics 2013-03-19 A. Matthew Smith , P. M. Alsing , J. R. McDonald , D. B. Uskov

It is questionable that Grover algorithm may be more valuable than a classical one, when a partial information is given in a unstructured database. In this letter, to consider quantum search when a partial information is given, we replace…

Quantum Physics · Physics 2007-05-23 Sangwoong Park , Joonwoo Bae , Younghun Kwon

We present the implementation of Grover's algorithm in a quantum simulator to perform a quantum search for preimages of two scaled hash functions, whose design only uses modular addition, word rotation, and bitwise exclusive or. Our…

Quantum Physics · Physics 2020-09-03 Sergi Ramos-Calderer , Emanuele Bellini , José I. Latorre , Marc Manzano , Victor Mateu

Grover's database search algorithm is the optimal algorithm for finding a desired object from an unsorted collection of items. Although it was discovered in the context of quantum computation, it is simple and versatile enough to be…

General Physics · Physics 2007-12-03 Aavishkar A. Patel

Grover's quantum search algorithm drives a quantum computer from a prepared initial state to a desired final state by using selective transformations of these states. Here, we analyze a framework when one of the selective trasformations is…

Quantum Physics · Physics 2013-05-30 Avatar Tulsi

Grover's search algorithm gives a quantum attack against block ciphers by searching for a key that matches a small number of plaintext-ciphertext pairs. This attack uses $O(\sqrt{N})$ calls to the cipher to search a key space of size $N$.…

Quantum Physics · Physics 2019-10-07 Samuel Jaques , Michael Naehrig , Martin Roetteler , Fernando Virdia

In this article, we discuss the implementation of a quantum recommendation system that uses a quantum variant of the k-nearest neighbours algorithm and the Grover algorithm to search for a specific element in unstructured database. In…

Quantum Physics · Physics 2019-12-10 Marek Sawerwain , Marek Wróblewski

Grover's search algorithm has attracted great attention due to its quadratic speedup over classical algorithms in unsorted database search problems. However, Grover's algorithm is inefficient in multi-target search problems, except in the…

Quantum Physics · Physics 2025-01-10 Shijin Zhong , Wei Li , Guangzhen Dai , Daohua Wu

Grover's algorithm is one of the most famous algorithms which explicitly demonstrates how the quantum nature can be utilized to accelerate the searching process. In this work, Grover's quantum search problem is mapped to a time-optimal…

Quantum Physics · Physics 2019-08-28 Chungwei Lin , Yebin Wang , Grigory Kolesov , Uroš Kalabić

Grover's quantum algorithm improves any classical search algorithm. We show how random Gaussian noise at each step of the algorithm can be modelled easily because of the exact recursion formulas available for computing the quantum amplitude…

Quantum Physics · Physics 2009-10-31 B. Pablo-Norman , M. Ruiz-Altaba

A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

Quantum Physics · Physics 2009-10-30 Tad Hogg

We report the implementation of Grover's quantum search algorithm in the scalable system of trapped atomic ion quantum bits. Any one of four possible states of a two-qubit memory is marked, and following a single query of the search space,…

Quantum Physics · Physics 2009-11-11 K. -A. Brickman , P. C. Haljan , P. J. Lee , M. Acton , L. Deslauriers , C. Monroe

Quantum computing has advanced rapidly in recent years and has shown advantages in a variety of domains. In this paper, we investigate its potential for discrete simulation optimization in the fixed-confidence setting, a fundamental problem…

Quantum Physics · Physics 2026-04-30 Mingjie Hu , Jian-qiang Hu , Enlu Zhou

Grover's search algorithms, including various partial Grover searches, experience scaling problems as the number of iterations rises with increased qubits, making implementation more computationally expensive. This paper combines Partial…

Quantum Physics · Physics 2024-04-25 Debanjan Konar , Zain Hafeez , Vaneet Aggarwal

In standard Grover's algorithm for quantum searching, the probability of finding the marked item is not exactly 1. In this Letter we present a modified version of Grover's algorithm that searches a marked state with full successful rate.…

Quantum Physics · Physics 2009-11-07 G. L. Long

Quantum partial search algorithm is approximate search. It aims to find a target block (which has the target items). It runs a little faster than full Grover search. In this paper, we consider quantum partial search algorithm for multiple…

Quantum Physics · Physics 2018-05-11 Kun Zhang , Vladimir Korepin

In this paper we will present a quantum algorithm which works very efficiently in case of multiple matches within the search space and in the case of few matches, the algorithm performs classically. This allows us to propose a hybrid…

Quantum Physics · Physics 2008-08-06 Ahmed Younes , Jon Rowe , Julian Miller

The search for "a quantum needle in a quantum haystack" is a metaphor for the problem of finding out which one of a permissible set of unitary mappings---the oracles---is implemented by a given black box. Grover's algorithm solves this…

Quantum Physics · Physics 2011-05-19 Arun Sehrawat , Le Huy Nguyen , Berthold-Georg Englert

In this paper we present a novel quantum algorithm, namely the quantum grid search algorithm, to solve a special search problem. Suppose $ k $ non-empty buckets are given, such that each bucket contains some marked and some unmarked items.…

Quantum Physics · Physics 2019-09-11 Alok Shukla , Prakash Vedula