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We consider topological quantum memories for a general class of abelian anyon models defined on spin lattices. These are non-universal for quantum computation when restricting to topological operations alone, such as braiding and fusion.…

Quantum Physics · Physics 2012-05-16 James R. Wootton , Jiannis K. Pachos

In the last few years, theoretical study of quantum systems serving as computational devices has achieved tremendous progress. We now have strong theoretical evidence that quantum computers, if built, might be used as a dramatically…

Quantum Physics · Physics 2016-11-03 Dorit Aharonov

It is well-known that Abstract State Machines (ASMs) can simulate "step-by-step" any type of machines (Turing machines, RAMs, etc.). We aim to overcome two facts: 1) simulation is not identification, 2) the ASMs simulating machines of some…

Formal Languages and Automata Theory · Computer Science 2010-03-26 Serge Grigorieff , Pierre Valarcher

This paper introduces a novel neural network model for question answering, the \emph{entity-based memory network}. It enhances neural networks' ability of representing and calculating information over a long period by keeping records of…

Computation and Language · Computer Science 2024-02-23 Xun Wang , Katsuhito Sudoh , Masaaki Nagata , Tomohide Shibata , Daisuke Kawahara , Sadao Kurohashi

We approach the question "What is Consciousness?" in a new way, not as Descartes' "systematic doubt", but as how organisms find their way in their world. Finding one's way involves finding possible uses of features of the world that might…

Physics and Society · Physics 2022-06-30 Stuart A. Kauffman , Andrea Roli

A modern computer system, based on the von Neumann architecture, is a complicated system with several interactive modular parts. Quantum computing, as the most generic usage of quantum information, follows a hybrid architecture so far,…

Quantum Physics · Physics 2022-09-02 D. -S. Wang

Coherent Ising Machines (CIMs) have emerged as a hybrid form of quantum computing devices designed to solve NP-complete problems, offering an exciting opportunity for discovering optimal solutions. Despite challenges such as susceptibility…

Memory-centric computing aims to enable computation capability in and near all places where data is generated and stored. As such, it can greatly reduce the large negative performance and energy impact of data access and data movement, by…

Hardware Architecture · Computer Science 2023-09-15 Onur Mutlu

The concepts of unitary evolution matrices and associative memory have boosted the field of Recurrent Neural Networks (RNN) to state-of-the-art performance in a variety of sequential tasks. However, RNN still have a limited capacity to…

Machine Learning · Computer Science 2017-10-27 Rumen Dangovski , Li Jing , Marin Soljacic

In this paper, we propose the concept of symplectic computers, which have the potential to be more powerful than quantum computers. Unlike quantum computing, which consists of a sequence of unitary transformations (gates) and projectors…

Quantum Physics · Physics 2024-07-18 Igor Volovich

Usually models for quantum computations deal with unitary gates on pure states. In this paper we generalize the usual model. We consider a model of quantum computations in which the state is an operator of density matrix and the gates are…

Quantum Physics · Physics 2007-05-23 Vasily E. Tarasov

In this note we consider a new variant of network of splicing processors which simplifies the general model such that filters remain associated with nodes but the input and output filters of every node coincide. This variant is called {\it…

Formal Languages and Automata Theory · Computer Science 2019-09-10 Victor Mitrana , Mihaela Păun , Jose Angel Sanchez Martin , Jose Ramon Sanchez Couso

Foundations of the theory of quantum Turing machines are investigated. The protocol for the preparation and the measurement of quantum Turing machines is discussed. The local transition functions are characterized for fully general quantum…

Quantum Physics · Physics 2007-05-23 Masanao Ozawa

Quantum computing has garnered significant attention in recent years from both academia and industry due to its potential to achieve a "quantum advantage" over classical computers. The advent of quantum computing introduces new challenges…

Quantum Physics · Physics 2024-08-09 Zhengping Jay Luo , Tyler Stewart , Mourya Narasareddygari , Rui Duan , Shangqing Zhao

Memory consistency models (MCMs) are at the heart of concurrent programming. They represent the behaviour of concurrent programs at the chip level. To test these models small program snippets called litmus test are generated, which show…

Programming Languages · Computer Science 2018-08-30 Ruth Hoffmann , Özgür Akgün , Susmit Sarkar

It is known that no quantum process can produce a predetermined superposition of unknown arbitrary states. It has already been shown that with some partial information about the states, one can produce with some probability such…

Quantum Physics · Physics 2017-11-22 Mina Doosti , Farzad Kianvash , Vahid Karimipour

A scenario for realization of a quantum computer is proposed consisting of spatially distributed q-bits fabricated in a host structure where nuclear spin-spin coupling is mediated by laser pulse controlled electron-nuclear transferred…

Quantum Physics · Physics 2007-05-23 C. M. Bowden , S. D. Pethel

Quantum computers hold promise to improve the efficiency of quantum simulations of materials and to enable the investigation of systems and properties more complex than tractable at present on classical architectures. Here, we discuss…

Quantum Physics · Physics 2022-05-03 Christian Vorwerk , Nan Sheng , Marco Govoni , Benchen Huang , Giulia Galli

Quantum computing is finding promising applications in optimization, machine learning and physics, leading to the development of various models for representing quantum information. Because these representations are often studied in…

Quantum Physics · Physics 2024-01-03 Lieuwe Vinkhuijzen , Tim Coopmans , Alfons Laarman

Coupled oscillators are being increasingly used as the basis of machine learning (ML) architectures, for instance in sequence modeling, graph representation learning and in physical neural networks that are used in analog ML devices. We…

Neural and Evolutionary Computing · Computer Science 2023-05-16 Samuel Lanthaler , T. Konstantin Rusch , Siddhartha Mishra