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Quantum algorithms are typically understood in terms of the evolution of a multi-qubit quantum system under a prescribed sequence of unitary transformations. The input to the algorithm prescribes some of the unitary transformations in the…

Quantum Physics · Physics 2015-05-13 David Collins

We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they…

Machine Learning · Statistics 2017-09-20 Ruohui Wang , Dahua Lin

We consider a family of unstructured problems, for which we propose a method for constructing analog, continuous-time quantum algorithms that are more efficient than their classical counterparts. In this family of problems, which we refer…

Quantum Physics · Physics 2014-01-22 Itay Hen

We present an idealized quantum continuous variable analog of the Deutsch-Jozsa algorithm which can be implemented on a perfect continuous variable quantum computer. Using the Fourier transformation and XOR gate appropriate for continuous…

Quantum Physics · Physics 2007-05-23 Arun K. Pati , Samuel L. Braunstein

In this paper, an efficient ensemble domain decomposition algorithm is proposed for fast solving the fully-mixed random Stokes-Darcy model with the physically realistic Beavers-Joseph (BJ) interface conditions. We utilize the Monte Carlo…

Numerical Analysis · Mathematics 2023-03-29 Feng Shi , Yizhong Sun , Haibiao Zheng

This paper generalizes both the binary Deutsch-Jozsa and Grover algorithms to $n$-valued logic using the quantum Fourier transform. Our extended Deutsch-Jozsa algorithm is not only able to distinguish between constant and balanced Boolean…

Quantum Physics · Physics 2025-02-18 Yale Fan

Dynamic scheduling problems are important optimisation problems with many real-world applications. Since in dynamic scheduling not all information is available at the start, such problems are usually solved by dispatching rules (DRs), which…

Neural and Evolutionary Computing · Computer Science 2022-03-29 Marko Đurasević , Lucija Planinić , Francisco Javier Gil Gala , Domagoj Jakobović

Recently ensemble selection for consensus clustering has emerged as a research problem in Machine Intelligence. Normally consensus clustering algorithms take into account the entire ensemble of clustering, where there is a tendency of…

Machine Learning · Computer Science 2015-08-19 Shouvick Mondal , Arko Banerjee

The Deutsch-Jozsa algorithm is a generalization of the Deutsch algorithm which was the first algorithm written. We present schemes to implement the Deutsch algorithm and the Deutsch-Jozsa algorithm via cavity QED.

Quantum Physics · Physics 2007-05-23 E. S. Guerra

Optical computing harnesses the speed of light to perform vector-matrix operations efficiently. It leverages interference, a cornerstone of quantum computing algorithms, to enable parallel computations. In this work, we interweave quantum…

Quantum Physics · Physics 2024-10-14 Mwezi Koni , Hadrian Bezuidenhout , Isaac Nape

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…

Quantum Physics · Physics 2009-10-31 David Collins , K. W. Kim , W. C. Holton , H. Sierzputowska-Gracz , E. O. Stejskal

We report the first experimental demonstration of an all-optical one-way implementation of Deutsch's quantum algorithm on a four-qubit cluster state. All the possible configurations of a balanced or constant function acting on a two-qubit…

Quantum Physics · Physics 2013-12-25 M. S. Tame , R. Prevedel , M. Paternostro , P. Böhi , M. S. Kim , A. Zeilinger

We give and prove an optimal exact quantum query algorithm with complexity $k+1$ for computing the promise problem (i.e., symmetric and partial Boolean function) $DJ_n^k$ defined as: $DJ_n^k(x)=1$ for $|x|=n/2$, $DJ_n^k(x)=0$ for $|x|$ in…

Quantum Physics · Physics 2017-06-06 Daowen Qiu , Shenggen Zheng

The implementation of a quantum computer requires the realization of a large number of N-qubit unitary operations which represent the possible oracles or which are part of the quantum algorithm. Until now there are no standard ways to…

Quantum Physics · Physics 2009-11-10 Norbert Schuch , Jens Siewert

The goal in the area of functions property testing is to determine whether a given black-box Boolean function has a particular given property or is $\varepsilon$-far from having that property. We investigate here several types of properties…

Quantum Physics · Physics 2023-06-22 Zhengwei Xie , Daowen Qiu , Guangya Cai , Jozef Gruska , Paulo Mateus

A hybrid model of the Deutsch-Jozsa algorithm is presented, inspired by the proposals of hybrid computation by S. Lloyd and P. van Loock et. al. The model is based on two observations made about both the discrete and continuous algorithms…

Quantum Physics · Physics 2010-01-05 Luis A. Garcia , Jagdish R. Luthra

This paper demonstrates the use of entanglement resources in quantum speedup by presenting an algorithm which is the generalization of an algorithm proposed by Goswami and Panigrahi [arXiv:1706.09489 (2017)]. We generalize the algorithm and…

Quantum Physics · Physics 2018-05-30 Sayan Gangopadhyay , Manabputra , Bikash K. Behera , Prasanta K. Panigrahi

Dantzig-Wolfe decomposition (DWD) is a classical algorithm for solving large-scale linear programs whose constraint matrix involves a set of independent blocks coupled with a set of linking rows. The algorithm decomposes such a model into a…

Optimization and Control · Mathematics 2021-01-12 Mohamed El Tonbari , Shabbir Ahmed

Classifier ensembles are pattern recognition structures composed of a set of classification algorithms (members), organized in a parallel way, and a combination method with the aim of increasing the classification accuracy of a…

We demonstrate experimentally the usefulness of selective pulses in NMR to perform quantum computation. Three different techniques based on selective pulse excitations have been proposed to prepare a spin system in a pseudo-pure state. We…

Quantum Physics · Physics 2008-12-18 Kavita Dorai , Arvind , Anil Kumar