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Finding a Hadamard matrix of a specific order using a quantum computer can lead to a demonstration of practical quantum advantage. Earlier efforts using a quantum annealer were impeded by the limitations of the present quantum resource and…

量子物理 · 物理学 2024-10-15 Andriyan Bayu Suksmono

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

In this article, we propose a distributed quantum algorithm for solving counting problem using Grover operator and a classical post-processing procedure. We apply the proposed algorithm to estimate inner products and Hamming distances.…

量子物理 · 物理学 2025-11-10 Huaijing Huang , Daowen Qiu

We consider the problem of search of an unstructured list for a marked element, when one is given advice as to where this element might be located, in the form of a probability distribution. The goal is to minimise the expected number of…

量子物理 · 物理学 2012-08-02 Ashley Montanaro

The quantum random walk is a possible approach to construct new quantum algorithms. Several groups have investigated the quantum random walk and experimental schemes were proposed. In this paper we present the experimental implementation of…

量子物理 · 物理学 2009-11-07 Jiangfeng Du , Hui Li , Xiaodong Xu , Mingjun Shi , Jihui Wu , Xianyi Zhou , Rongdian Han

We introduce the quantum implementation of a binary classifier based on cosine similarity between data vectors. The proposed quantum algorithm evaluates the classifier on a set of data vectors with time complexity that is logarithmic in the…

量子物理 · 物理学 2022-05-03 Davide Pastorello , Enrico Blanzieri

We propose two quantum algorithms for a problem in bioinformatics, position weight matrix (PWM) matching, which aims to find segments (sequence motifs) in a biological sequence such as DNA and protein that have high scores defined by the…

量子物理 · 物理学 2023-03-08 Koichi Miyamoto , Naoki Yamamoto , Yasubumi Sakakibara

This paper describes experiments showing that some tasks in natural language processing (NLP) can already be performed using quantum computers, though so far only with small datasets. We demonstrate various approaches to topic…

计算与语言 · 计算机科学 2024-04-17 Dominic Widdows , Aaranya Alexander , Daiwei Zhu , Chase Zimmerman , Arunava Majumder

An NMR realization of a two-qubit quantum gate which processes quantum information indirectly via couplings to a spectator qubit is presented in the context of the Deutsch-Jozsa algorithm. This enables a successful comprehensive NMR…

量子物理 · 物理学 2009-10-31 David Collins , K. W. Kim , W. C. Holton , H. Sierzputowska-Gracz , E. O. Stejskal

We review some of quantum algorithms for search problems: Grover's search algorithm, its generalization to amplitude amplification, the applications of amplitude amplification to various problems and the recent quantum algorithms based on…

量子物理 · 物理学 2008-05-12 Andris Ambainis

Future quantum computers are anticipated to be able to perform simulations of quantum many-body systems and quantum field theories that lie beyond the capabilities of classical computation. This will lead to new insights and predictions for…

核理论 · 物理学 2023-12-14 Martin J. Savage

Quantum search is a quantum mechanical technique for searching N possibilities in only sqrt(N) steps. This paper gives a fresh perspective on the algorithm in terms of a resonance phenomenon which is implemented through classical coupled…

量子物理 · 物理学 2007-05-23 Lov K. Grover , Anirvan Sengupta

Accurate quantum chemistry simulations remain challenging on classical computers for problems of industrially relevant sizes and there is reason for hope that quantum computing may help push the boundaries of what is technically feasible.…

量子物理 · 物理学 2021-03-17 Vincent E. Elfving , Marta Millaruelo , José A. Gámez , Christian Gogolin

We introduce a variational algorithm based on the quantum alternating operator ansatz (QAOA) for the approximate solution of computationally hard counting problems. Our algorithm, dubbed VQCount, is based on the equivalence between random…

量子物理 · 物理学 2026-04-16 Julien Drapeau , Shreya Banerjee , Stefanos Kourtis

Quantum computers provide an opportunity to efficiently sample from probability distributions that include non-trivial interference effects between amplitudes. Using a simple process wherein all possible state histories can be specified by…

量子物理 · 物理学 2019-08-22 Davide Provasoli , Benjamin Nachman , Wibe A. de Jong , Christian W Bauer

Association rules mining is one of the most important problems in knowledge discovery and data mining. The goal of it is to acquire consumption habits of customers by discovering the relationships between items from a transaction database…

量子物理 · 物理学 2016-10-12 Chao-Hua Yu , Fei Gao , Qing-Le Wang , Qiao-Yan Wen

Quantum computers hold promise to enable efficient simulations of the properties of molecules and materials; however, at present they only permit ab initio calculations of a few atoms, due to a limited number of qubits. In order to harness…

材料科学 · 物理学 2020-07-07 He Ma , Marco Govoni , Giulia Galli

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

量子物理 · 物理学 2007-05-23 Tad Hogg

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

人工智能 · 计算机科学 2009-09-25 T. Hogg

A review of progress in NMR quantum computing and a brief survey of the literature

量子物理 · 物理学 2011-07-20 Jonathan A. Jones