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We provide algebraic criteria for the unitarity of linear quantum cellular automata, i.e. one dimensional quantum cellular automata. We derive these both by direct combinatorial arguments, and by adding constraints into the model which do…

Quantum Physics · Physics 2017-08-29 Pablo Arrighi

We propose a discrete spacetime formulation of quantum electrodynamics in one-dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates. These have exact…

Quantum Physics · Physics 2020-04-17 Pablo Arrighi , Cédric Bény , Terry Farrelly

It has been shown that certain quantum walks give rise to relativistic wave equations, such as the Dirac and Weyl equations, in their long-wavelength limits. This intriguing result raises the question of whether something similar can happen…

Quantum Physics · Physics 2020-10-21 Leonard Mlodinow , Todd A. Brun

We construct a simple translationally invariant, nearest-neighbor Hamiltonian on a chain of 10-dimensional qudits that makes it possible to realize universal quantum computing without any external control during the computational process.…

Quantum Physics · Physics 2009-11-13 Daniel Nagaj , Pawel Wocjan

Quantum optimization as a field has largely been restricted by the constraints of current quantum computing hardware, as limitations on size, performance, and fidelity mean most non-trivial problem instances won't fit on quantum devices.…

Quantum Physics · Physics 2024-05-03 Ibrahim Cameron , Teague Tomesh , Zain Saleem , Ilya Safro

We provide an introduction to Quantum Cellular Automata.

Quantum Physics · Physics 2007-05-23 B. Aoun , M. Tarifi

We investigate the possibility to have electron-pairs in dephasing-free subspace (DFS), by means of the quantum-dot cellular automata (QCA) and single-spin rotations, to carry out a high-fidelity and deterministic universal quantum…

Quantum Physics · Physics 2010-06-25 Z. Y. Xu , M. Feng , W. M. Zhang

We propose a new environment for information encoding and transmission via a novel type of molecular Quantum Dot Cellular Automata (QCA) wire, composed of a single row of head-to-tail interacting 2-dots molecular switches. While most of the…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Alberto M. Pintus , Andrea Gabrieli , Federico G. Pazzona , Giovanni Pireddu , Pierfranco Demontis

A quantum cellular network with a qubit and ancilla bits in each cell is proposed. The whole circuit works only with the help of external optical pulse sequences. In the operation, some of the ancilla bits are activated, and autonomous…

Quantum Physics · Physics 2009-11-06 Toshio Ohshima

Quantum-dot cellular automata (QCA) is a paradigm for low-power, general-purpose, classical computing designed to overcome the challenges facing CMOS in the extreme limits of scaling. A molecular implementation of QCA offers nanometer-scale…

Quantum Physics · Physics 2022-08-31 Peizhong Cong , Enrique P. Blair

The challenge of scaling quantum computers to gain computational power is expected to lead to architectures with multiple connected quantum processing units (QPUs), commonly referred to as Distributed Quantum Computing (DQC). In parallel,…

An universal quantum network which can implement a general quantum computing is proposed. In this sense, it can be called the quantum central processing unit (QCPU). For a given quantum computing, its realization of QCPU is just its quantum…

Quantum Physics · Physics 2009-10-31 An Min Wang

A novel two-state, Reversible Cellular Automata (RCA) is described. This three-dimensional RCA is shown to be capable of universal computation. Additionally, evidence is offered that this RCA Is capable of universal construction.

Cellular Automata and Lattice Gases · Physics 2007-05-23 Daniel B. Miller , Edward Fredkin

A Quantum Cellular Automaton (QCA) is essentially an operator driving the evolution of particles on a lattice, through local unitaries. Because $\Delta_t=\Delta_x = \epsilon$, QCAs constitute a privileged framework to cast the digital…

Quantum Physics · Physics 2026-01-21 Dogukan Bakircioglu , Pablo Arnault , Pablo Arrighi

Cellular Automata(CA) is a discrete computing model which provides simple, flexible and efficient platform for simulating complicated systems and performing complex computation based on the neighborhoods information. CA consists of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-12 Debasis Das , Rajiv Misra

We propose that a quantum particle in a potential in one space dimension can be described by a probabilistic cellular automaton. While the simple updating rule of the automaton is deterministic, the probabilistic description is introduced…

Quantum Physics · Physics 2022-12-01 C. Wetterich

Advancements in computing based on qubit networks, and in particular the flux-qubit processor architecture developed by D-Wave System's Inc., have enabled the physical simulation of quantum-dot cellular automata (QCA) networks beyond the…

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

Cellular Automata and Lattice Gases · Physics 2023-08-15 Abhishek Dalai

We present QUANTAS: a simulator that enables quantitative performance analysis of distributed algorithms. It has a number of attractive features. QUANTAS is an abstract simulator, therefore, the obtained results are not affected by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-18 Joseph Oglio , Kendric Hood , Mikhail Nesterenko , Sebastien Tixeuil

Quantum dot Cellular Automata (QCA) is the most promising nanotechnology in the field of microelectronics and VLSI systems. QCA-based circuits require less power with a high switching speed of operation compared to CMOS technology. QCA…

Emerging Technologies · Computer Science 2023-10-18 Ratna Chakrabarty , Angshuman Khan
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