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Experimental implementations of quantum computer architectures are now being investigated in many different physical settings. The full set of requirements that must be met to make quantum computing a reality in the laboratory [1] is…

Quantum Physics · Physics 2009-11-06 D. P. DiVincenzo , D. Bacon , J. Kempe , G. Burkard , K. B. Whaley

The field of quantum computing is at an exciting time where we are constructing novel hardware, evaluating algorithms, and finding out what works best. As qubit technology grows and matures, we need to be ready to design and program larger…

Quantum Physics · Physics 2023-03-07 Casey Duckering

Frequency and phase of neural activity play important roles in the behaving brain. The emerging understanding of these roles has been informed by the design of analog devices that have been important to neuroscience, among them the…

Emerging Technologies · Computer Science 2014-11-07 Frank Hoppensteadt

Machine learning has been presented as one of the key applications for near-term quantum technologies, given its high commercial value and wide range of applicability. In this work, we introduce the \textit{quantum-assisted Helmholtz…

Quantum Physics · Physics 2018-05-24 Marcello Benedetti , John Realpe-Gómez , Alejandro Perdomo-Ortiz

The paper proposes an implicit (i.e., machine-independent) complexity approach to studying computation by polynomial-size, constant-depth circuits with gates counting modulo a constant through the lens of discrete ordinary differential…

Computational Complexity · Computer Science 2026-05-25 Melissa Antonelli , Arnaud Durand , Rui Li

In mathematical aspect, we introduce quantum algorithm and the mathematical structure of quantum computer. Quantum algorithm is expressed by linear algebra on a finite dimensional complex inner product space. The mathematical formulations…

History and Overview · Mathematics 2020-08-21 BongJu Kim

Every algorithm which can be executed on a computer can at least in principle be realized in hardware, i.e. by a discrete physical system. The problem is that up to now there is no programming language by which physical systems can…

Programming Languages · Computer Science 2010-05-07 Hermann von Issendorff

Quantum error correction is needed for quantum computers to be capable of fault-tolerantly executing algorithms using hundreds of logical qubits. Recent experiments have demonstrated subthreshold error rates for state preservation of a…

Construction of explicit quantum circuits follows the notion of the "standard circuit model" introduced in the solid and profound analysis of elementary gates providing quantum computation. Nevertheless the model is not always optimal (e.g.…

Quantum Physics · Physics 2007-05-23 K. Ch. Chatzisavvas , C. Daskaloyannis , C. P. Panos

Surface code based quantum computers show great promise for fault-tolerant quantum computing, but most architectures needlessly increase the spacetime volume of a computation due to qubits sitting idly during a computation. Active volume…

Quantum Physics · Physics 2025-04-29 Sam Heavey

Landauer's Principle that information loss from a computation implies entropy increase can be rigorously proved from mathematical physics. However, carefully examining its detailed formulation reveals that the traditional identification of…

Emerging Technologies · Computer Science 2018-06-28 Michael P. Frank

Designing efficient and noise-tolerant quantum computation protocols generally begins with an understanding of quantum error-correcting codes and their native logical operations. The simplest class of native operations are transversal…

Quantum Physics · Physics 2026-02-02 Alexander Barg , Nolan J. Coble , Dominik Hangleiter , Christopher Kang

The subspace Restricted Boltzmann Machine (subspaceRBM) is a third-order Boltzmann machine where multiplicative interactions are between one visible and two hidden units. There are two kinds of hidden units, namely, gate units and subspace…

Machine Learning · Computer Science 2014-07-17 Jakub M. Tomczak , Adam Gonczarek

Quantum computers, with parallel computing and entanglement effects, excel in cryptography analysis and big data processing. However, they are not fully developed yet, and their performance needs further evaluation. Traditional computer…

Quantum Physics · Physics 2024-09-11 Zili Chen

The commercialization of transistors capable of both switching and amplification in 1960 resulted in the development of second-generation computers, which resulted in the miniaturization and lightening, while accelerating the reduction and…

Emerging Technologies · Computer Science 2020-01-31 Jonghyeon Lee , Taewon Kang

A possible building block for a scalable quantum computer has recently been demonstrated [M. Mariantoni et al., Science 334, 61 (2011)]. This architecture consists of superconducting qubits capacitively coupled both to individual memory…

We study how well topological quantum codes can tolerate coherent noise caused by systematic unitary errors such as unwanted $Z$-rotations. Our main result is an efficient algorithm for simulating quantum error correction protocols based on…

Quantum Physics · Physics 2018-11-01 Sergey Bravyi , Matthias Englbrecht , Robert Koenig , Nolan Peard

Multi-principle element alloys have enormous potential, but their exploration suffers from the tremendously large range of configurations. In the last decade such alloys have been designed with a focus on random solid solutions. Here we…

Materials Science · Physics 2017-02-15 Lukasz Rogal , Piotr Bobrowski , Fritz Koermann , Sergiy Divinski , Frank Stein , Blazej Grabowski

A one-way quantum computer works by only performing a sequence of one-qubit measurements on a particular entangled multi-qubit state, the cluster state. No non-local operations are required in the process of computation. Any quantum logic…

Quantum Physics · Physics 2023-11-11 Robert Raussendorf , Daniel E. Browne , Hans J. Briegel

This paper introduces analogical and deductive methodologies for the design medical processor units (MPUs). From the study of evolution of numerous earlier processors, we derive the basis for the architecture of MPUs. These specialized…

Other Computer Science · Computer Science 2011-11-09 Syed V. Ahamed , Syed Shawon M. Rahman
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