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A redundancy in the existing Deutsch-Jozsa quantum algorithm is removed and a refined algorithm, which reduces the size of the register and simplifies the function evaluation, is proposed. The refined version allows a simpler analysis of…

量子物理 · 物理学 2009-10-31 David Collins , K. W. Kim , W. C. Holton

Deutsch-Jozsa (DJ) problem is one of the most important problems demonstrating the power of quantum algorithm. DJ problem can be described as a Boolean function $f$: $\{0,1\}^n\rightarrow \{0,1\}$ with promising it is either constant or…

量子物理 · 物理学 2023-03-21 Hao Li , Daowen Qiu , Le Luo

We present a novel approach to quantum algorithms, by taking advantage of modular values, i.e., complex and unbounded quantities resulting from specific post-selected measurement scenarios. Our focus is on the problem of ascertaining…

量子物理 · 物理学 2024-06-12 Lorena Ballesteros Ferraz , Timoteo Carletti , Yves Caudano

We present a generalized Deutsch-Jozsa (DJ) quantum algorithm that not only determines both the global type of an unknown Boolean function (constant or balanced) but also determines explicit output values of the function in a single oracle…

量子物理 · 物理学 2025-12-02 M. Ghadimi , V. Salari , S. Bakrani , M. Zomorodi , N. Gohari-Kamel , S. Moradi , D. Oblak

We generalize the Deutsch-Jozsa problem and present a quantum algorithm that can solve the generalized Deutsch-Jozsa problem by a single evaluation of a given function. We discuss the initialization of an auxiliary register and present a…

量子物理 · 物理学 2007-05-23 Dong Pyo Chi , Jinsoo Kim , Soojoon Lee

The Deustch-Jozsa problem is one of the most basic ways to demonstrate the power of quantum computation. Consider a Boolean function f : {0,1}^n to {0,1} and suppose we have a black-box to compute f. The Deutsch-Jozsa problem is to…

量子物理 · 物理学 2022-01-05 Alastair A. Abbott

That superpositions of states can be useful for performing tasks in quantum systems has been known since the early days of quantum information, but only recently has quantitative theory of quantum coherence been proposed. Here we apply that…

量子物理 · 物理学 2016-02-16 Mark Hillery

We propose a physical scheme for implementing the Deutsch-Jozsa algorithm using atomic ensembles and optical devices. The scheme has inherent fault tolerance to the realistic noise and efficient scaling with the number of ensembles for some…

量子物理 · 物理学 2007-05-23 Ping Dong , Zheng-Yuan Xue , Ming Yang , Zhuo-Liang Cao

The well-known Deutsch Algorithm (DA) and Deutsch-Jozsha Algorithm (DJA) both are used as an evidence to the power of quantum computers over classical computation mediums. In these theoretical experiments, it has been shown that a quantum…

量子物理 · 物理学 2008-03-24 Osman Kaan Erol

Quantum information processing has been one of the pillars of the new information age. In this sense, the control and processing of quantum information plays a fundamental role, and computers capable of manipulating such information have…

We discuss the ensemble version of the Deutsch-Jozsa (DJ) algorithm which attempts to provide a "scalable" implementation on an expectation-value NMR quantum computer. We show that this ensemble implementation of the DJ algorithm is at best…

量子物理 · 物理学 2016-09-08 Arvind , David Collins

Boolean functions are important building blocks in cryptography for their wide application in both stream and block cipher systems. For cryptanalysis of such systems one tries to find out linear functions that are correlated to the Boolean…

量子物理 · 物理学 2007-05-23 Subhamoy Maitra , Partha Mukhopadhyay

Quantum computing takes fully advantage of the superposition principle to increase greatly (even exponentially) the speed of calculations, relative to the classical approach. The Deutsch-Jozsa algorithm is the simplest quantum algorithm…

量子物理 · 物理学 2008-10-14 Neda Amin , Patrick Labelle

The Deutsch-Jozsa algorithm is experimentally demonstrated for three-qubit functions using pure coherent superpositions of Li$_{2}$ rovibrational eigenstates. The function's character, either constant or balanced, is evaluated by first…

量子物理 · 物理学 2009-11-07 Jiri Vala , Zohar Amitay , Bo Zhang , Stephen R. Leone , Ronnie Kosloff

Early in 1992, Deutsch-Jozsa algorithm computed a symmetric partial Boolean function with a single quantum query, and thus achieved the best separation between classical deterministic and exact quantum query complexity. Until recent years,…

量子物理 · 物理学 2023-10-11 Xu Guoliang , Qiu Daowen

Quantum correlations have been pointed out as the most likely source of the speed-up in quantum computation. Here we analyzed the presence of quantum correlations in the implementation of Deutsch-Jozsa algorithm running in the DQC1 and DQCp…

量子物理 · 物理学 2015-08-13 Marcio M. Santos , Eduardo I. Duzzioni

We describe a general framework for regarding oracle-assisted quantum algorithms as tools for discriminating between unitary transformations. We apply this to the Deutsch-Jozsa problem and derive all possible quantum algorithms which solve…

量子物理 · 物理学 2010-08-10 David Collins

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…

量子物理 · 物理学 2015-05-13 David Collins

The first optical proposal for the realization of the two-bit version of the Deutsch-Jozsa algorithm [D. Deutsch and R. Jozsa, Proc. R. Soc. London A {\bf 493}, 553 (1992)] is presented. The proposal uses Stark shifts in an ensemble of…

量子物理 · 物理学 2007-05-23 Shubhrangshu Dasgupta , G. S. Agarwal

We propose an optical implementation of the Deutsch-Jozsa Algorithm using classical light in a binary decision-tree scheme. Our approach uses a ring cavity and linear optical devices in order to efficiently quarry the oracle functional…

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