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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…

Quantum Physics · Physics 2009-10-31 David Collins , K. W. Kim , W. C. Holton

We present a quantum algorithm for the f-conditioned phase transform which does not require any initialization of ancillary register. We also develop a quantum algorithm that can solve the generalized Deutsch-Jozsa problem by a single…

Quantum Physics · Physics 2007-05-23 Dong Pyo Chi , Jinsoo Kim , Soojoon Lee

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…

Quantum Physics · Physics 2008-10-14 Neda Amin , Patrick Labelle

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

A classical analogue of Deutsch and Jozsa's algorithm is given and its implications on quantum computing is discussed

Quantum Physics · Physics 2007-05-23 John W. Cooper

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…

Quantum Physics · Physics 2025-12-02 M. Ghadimi , V. Salari , S. Bakrani , M. Zomorodi , N. Gohari-Kamel , S. Moradi , D. Oblak

We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the…

Quantum Physics · Physics 2016-08-14 Marcin Zwierz , Carlos A. Pérez-Delgado , Pieter Kok

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

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…

Quantum Physics · Physics 2023-03-21 Hao Li , Daowen Qiu , Le Luo

In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical algorithms in quantum computing, such as the Deutsch--Jozsa algorithm, Simon's algorithm or Grover's algorithm. We will…

Quantum Physics · Physics 2022-07-07 Joaquín Ossorio-Castillo , Ulises Pastor-Díaz , José M. Tornero

We present a computational framework based on geometric structures. No quantum mechanics is involved, and yet the algorithms perform tasks analogous to quantum computation. Tensor products and entangled states are not needed -- they are…

Quantum Physics · Physics 2007-05-23 Diederik Aerts , Marek Czachor

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…

Quantum Physics · Physics 2022-01-05 Alastair A. Abbott

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…

Quantum Physics · Physics 2010-08-10 David Collins

We describe the experimental implementation of a recently proposed quantum algorithm involving quantum entanglement at the level of two qubits using NMR. The algorithm solves a generalisation of the Deutsch problem and distinguishes between…

Quantum Physics · Physics 2009-11-06 Kavita Dorai , Arvind , Anil Kumar

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…

Quantum Physics · Physics 2008-03-24 Osman Kaan Erol

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

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…

Quantum Physics · Physics 2016-02-16 Mark Hillery

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 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…

Quantum Physics · Physics 2007-05-23 Ping Dong , Zheng-Yuan Xue , Ming Yang , Zhuo-Liang Cao

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…

Quantum Physics · Physics 2024-06-12 Lorena Ballesteros Ferraz , Timoteo Carletti , Yves Caudano
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