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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

Measurement-based quantum computing (MBQC), an alternate paradigm for formulating quantum algorithms, can lead to potentially more flexible and efficient implementations as well as to theoretical insights on the role of entanglement in a…

Quantum Physics · Physics 2024-03-05 M. Schwetz , R. M. Noack

The paper introduces an efficient implementation of the Deutsch-Jozsa and Bernstein-Vazirani algorithm using the single-particle discrete-time quantum walk. We also provide a detailed optical framework with specific optical components to…

Quantum Physics · Physics 2026-01-05 Ravi Sangwan , Vikas Ramaswamy , Henry Sukumar , Gudapati Naresh Raghava

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,…

Quantum Physics · Physics 2023-10-11 Xu Guoliang , Qiu Daowen

We analyze possible implementations of quantum algorithms in a system of (macroscopic) Josephson charge qubits. System layout and parameters to realize the Deutsch algorithm with up to three qubits are provided. Special attention is paid to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jens Siewert , Rosario Fazio

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

We present Monte Carlo wavefunction simulations for quantum computations employing an exchange-coupled array of quantum dots. Employing a combination of experimentally and theoretically available parameters, we find that gate fidelities…

Quantum Physics · Physics 2007-05-23 E. Simon Myrgren , K. Birgitta Whaley

Design of a large-scale quantum computer has paramount importance for science and technologies. We investigate a scheme for realization of quantum algorithms using noncomposite quantum systems, i.e., systems without subsystems. In this…

Quantum Physics · Physics 2015-04-07 E. O. Kiktenko , A. K. Fedorov , A. A. Strakhov , V. I. Man'ko

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

The original Deutsch-Jozsa (oDJ) problem is for an oracle (realized here as a database) of size N, where, according to their claim, the deterministic solution of the problem on a classical Turing computer requires O(N) computational…

General Physics · Physics 2023-03-02 Laszlo B. Kish

In the black-box model, problems constrained by a `promise' are the only ones that admit a quantum exponential speedup over the best classical algorithm in terms of query complexity. The most prominent example of this is the Deutsch-Jozsa…

Quantum Physics · Physics 2007-05-23 Adam Brazier , Martin B. Plenio

In this paper, we study efficient algorithms towards the construction of any arbitrary Dicke state. Our contribution is to use proper symmetric Boolean functions that involve manipulations with Krawtchouk polynomials. Deutsch-Jozsa…

Quantum Physics · Physics 2013-06-18 Kaushik Chakraborty , Byung-Soo Choi , Arpita Maitra , Subhamoy Maitra

Quantum machine learning seeks to exploit the underlying nature of a quantum computer to enhance machine learning techniques. A particular framework uses the quantum property of superposition to store sets of parameters, thereby creating an…

Quantum Physics · Physics 2020-01-30 Amira Abbas , Maria Schuld , Francesco Petruccione

This document is a pdf version of the series of blogposts about variational quantum algorithms (VQA) I originally posted on my blog Musty Thoughts. It provides an explanation of the basic variational algorithms, such as Variational Quantum…

Quantum Physics · Physics 2024-02-27 Michał Stęchły

In this work Controlled phase shift gates are implemented on a qaudrupolar system, by using non-adiabatic geometric phases. A general procedure is given, for implementing controlled phase shift gates in an 'N' level system. The utility of…

Quantum Physics · Physics 2015-05-14 T. Gopinath , Anil Kumar

An experimental scheme is proposed that allows direct measurement of the concurrence of a two-qubit cavity system. It is based on the cavity-QED technology using atoms as flying qubits and relies on the identity of the two-particle…

Quantum Physics · Physics 2009-11-13 Sang Min Lee , Se-Wan Ji , Hai-Woong Lee , M. Suhail Zubairy

A long-standing aim of quantum information research is to understand what gives quantum computers their advantage. This requires separating problems that need genuinely quantum resources from those for which classical resources are enough.…

Quantum Physics · Physics 2018-03-07 Niklas Johansson , Jan-Åke Larsson

It has been shown in recent years that quantum information has a topological nature (\cite{AC}, \cite{Co}, \cite{Co2}). In \cite{V}, Vicary undergoes the study of quantum algorithms using this new topological approach. The advantage of this…

Quantum Physics · Physics 2014-05-20 Ali Nabi Duman

By harnessing the superposition and entanglement of physical states, quantum computers could outperform their classical counterparts in solving problems of technological impact, such as factoring large numbers and searching databases. A…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 L. DiCarlo , J. M. Chow , J. M. Gambetta , Lev S. Bishop , B. R. Johnson , D. I. Schuster , J. Majer , A. Blais , L. Frunzio , S. M. Girvin , R. J. Schoelkopf

The existence of entangled quantum states gives extra power to quantum computers over their classical counterparts. Quantum entanglement shows up qualitatively at the level of two qubits. We show that if no entanglement is envolved then…

Quantum Physics · Physics 2009-11-06 Arvind