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Quantum computers require quantum processors. An important part of the processor of any computer is the arithmetic unit, which performs binary addition, subtraction, division and multiplication, however multiplication can be performed using…

Quantum Physics · Physics 2018-11-14 Rasha Montaser , Ahmed Younes , Mahmoud Abdel-Aty

The uncountability of the real numbers is one of their most basic properties, known (far) outside of mathematics. Cantor's 1874 proof of the uncountability of the real numbers even appears in the very first paper on set theory, i.e. a…

Logic · Mathematics 2022-06-28 Sam Sanders

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 scalable quantum information processing architecture based on silicon metal-oxide-semiconductor technology is presented, combining quantum hardware elements from planar and 3D silicon-on-insulator technologies. This architecture is…

Quantum Physics · Physics 2022-08-22 Michael A. Fogarty

We consider computations of a Turing machine subjected to noise. In every step, the action (the new state and the new content of the observed cell, the direction of the head movement) can differ from that prescribed by the transition…

Computational Complexity · Computer Science 2021-12-07 Ilir Çapuni , Peter Gács

The first prototypes of quantum computers sparked interest in quantum computing and the basic principles of quantum mechanics. The education project on the physical bases of quantum computing is part of this context, based on the…

Quantum Physics · Physics 2022-09-08 Francesco Sisini , Igor Ciminelli , Fabio Antonio Bovino

Fifty years ago, John von Neumann compared the architecture of the brain with that of computers that he invented and which is still in use today. In those days, the organisation of computers was based on concepts of brain organisation.…

Neurons and Cognition · Quantitative Biology 2008-02-28 Marcus Kaiser

We propose and analyze a physical system capable of performing topological quantum computation with Majorana zero modes (MZM) in a one-dimensional topological superconductor (1DTS). One of the leading methods to realize quantum gates in…

Quantum Physics · Physics 2021-06-02 Marek Narozniak , Matthieu Dartiailh , Jonathan P. Dowling , Javad Shabani , Tim Byrnes

The laptops, cell phones, and internet applications commonplace in our daily lives are all rooted in the idea of zeros and ones - in bits. This foundational element originated from the combination of mathematics and Claude Shannon's Theory…

Popular Physics · Physics 2019-11-20 Dario Gil , William M. J. Green

This paper is a `spiritual child' of the 2005 lecture notes Kindergarten Quantum Mechanics, which showed how a simple, pictorial extension of Dirac notation allowed several quantum features to be easily expressed and derived, using language…

Quantum Physics · Physics 2021-02-23 Bob Coecke , Dominic Horsman , Aleks Kissinger , Quanlong Wang

There exists a theory of a single general-purpose learning algorithm which could explain the principles its operation. It assumes the initial rough architecture, a small library of simple innate circuits which are prewired at birth. and…

Machine Learning · Computer Science 2015-12-08 Kamil Rocki

This thesis consists of two parts. The first part is about how quantum theory can be recovered from first principles, while the second part is about the application of diagrammatic reasoning, specifically the ZX-calculus, to practical…

Quantum Physics · Physics 2021-01-12 John van de Wetering

In the late 80s and 90s, theoretical physicists of the Landau Institute for Theoretical Physics designed and developed several specialized computers for challenging computational problems in the physics of phase transitions. These computers…

Statistical Mechanics · Physics 2021-07-19 Lev N. Shchur

The success of the abstract model of computation, in terms of bits, logical operations, programming language constructs, and the like, makes it easy to forget that computation is a physical process. Our cherished notions of computation and…

Quantum Physics · Physics 2013-06-18 Joseph F. Fitzsimons , Eleanor G. Rieffel , Valerio Scarani

We consider restricted Boltzmann machines with a binary visible layer and a Gaussian hidden layer trained by an unlabelled dataset composed of noisy realizations of a single ground pattern. We develop a statistical mechanics framework to…

Disordered Systems and Neural Networks · Physics 2024-06-17 Alberto Fachechi , Elena Agliari , Miriam Aquaro , Anthony Coolen , Menno Mulder

A quantum computer is a hypothetical device in which the laws of quantum mechanics are used to introduce a degree of parallelism into computations and which could therefore significantly improve on the computational speed of a classical…

Quantum Physics · Physics 2007-05-23 P. Blythe , B. Varcoe

This paper presents a novel algorithm for the modulus operation for FPGA implementation. The proposed algorithm use only addition, subtraction, logical, and bit shift operations, avoiding the complexities and hardware costs associated with…

Cryptography and Security · Computer Science 2025-01-10 W. A. Susantha Wijesinghe

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

Thermodynamic properties and structural aspects of the non-stoichiometric w\"ustite Fe 1-z O, and its modifications-the so-called pseudo-phases-as functions of composition z and equilibrium temperature are reviewed from 1960 to present (159…

Materials Science · Physics 2018-02-21 Jean-Raymond Gavarri , Claude Carel

The MINSU(Mobile Inventory and Scanning Unit) algorithm uses the computational vision analysis method to record the residual quantity/fullness of the cabinet. To do so, it goes through a five-step method: object detection, foreground…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Jihoon Ryoo , Byungkon Kang , Dongyeob Lee , Seunghyeon Kim , Youngho Kim