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We discuss the role of classical control in the context of reversible quantum cellular automata. Employing the structure theorem for quantum cellular automata, we give a general construction scheme to turn an arbitrary cellular automaton…

量子物理 · 物理学 2009-11-11 D. J. Shepherd , T. Franz , R. F. Werner

One-dimensional quantum cellular automata (QCA) consist in a line of identical, finite dimensional quantum systems. These evolve in discrete time steps according to a local, shift-invariant unitary evolution. By local we mean that no…

量子物理 · 物理学 2008-04-15 Pablo Arrighi , Vincent Nesme , Reinhard Werner

Quantum gates are the building blocks of quantum circuits, which in turn are the cornerstones of quantum information processing. In this work, we theoretically investigate a single-step implementation of both a universal two- (CNOT) and…

量子物理 · 物理学 2024-07-01 Luiz O. R. Solak , Daniel Z. Rossatto , Celso J. Villas-Boas

A cellular automaton collider is a finite state machine build of rings of one-dimensional cellular automata. We show how a computation can be performed on the collider by exploiting interactions between gliders (particles, localisations).…

元胞自动机与格子气 · 物理学 2016-09-20 Genaro J. Martinez , Andrew Adamatzky , Harold V. McIntosh

Given the effectiveness of semiconductor devices for classical computation one is naturally led to consider semiconductor systems for solid state quantum information processing. Semiconductors are particularly suitable where local control…

Implementation of quantum information processing faces the contradicting requirements of combining excellent isolation to avoid decoherence with the ability to control coherent interactions in a many-body quantum system. For example, spin…

量子物理 · 物理学 2015-05-13 P. Rabl , S. J. Kolkowitz , F. H. Koppens , J. G. E. Harris , P. Zoller , M. D. Lukin

We propose an approach for single spin measurement. Our method uses techniques from the theory of quantum cellular automata to correlate a large amount of ancillary spins to the one to be measured. It has the distinct advantage of being…

量子物理 · 物理学 2011-11-09 Carlos A. Perez-Delgado , Michele Mosca , Paola Cappellaro , David G. Cory

We study classical and quantum spin models derived from one-dimensional cellular automata (CA) with nonlinear update rules, focusing on rules 30, 54 and 201. We argue that the classical models, defined such that their ground states…

Owing to the computational complexity of electronic structure algorithms running on classical digital computers, the range of molecular systems amenable to simulation remains tightly circumscribed even after many decades of work. Quantum…

量子物理 · 物理学 2022-05-18 Alexis Ralli , Michael I. Williams , Peter V. Coveney

We develop a scalable architecture for quantum computation using controllable electrons of double-dot molecules coupled to a microwave stripline resonator on a chip, which satisfies all Divincenzo criteria. We analyze the performance and…

量子物理 · 物理学 2011-01-14 Peng Xue

We propose a complete, quantitative quantum computing system which satisfies the five DiVincenzo criteria. The model is based on magnetic clusters with uniaxial anisotropy, where standard, two-state qubits are formed utilizing the two…

量子物理 · 物理学 2013-05-21 Daniel D. Dorroh , Serkay Olmez , Jian-Ping Wang

With the help of the spin-orbit interaction, we propose a scheme to perform holonomic single qubit gates on the electron spin confined to a quantum dot. The manipulation is done in the absence (or presence) of an applied magnetic field. By…

介观与纳米尺度物理 · 物理学 2015-05-14 Vitaly N. Golovach , Massoud Borhani , Daniel Loss

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.…

量子物理 · 物理学 2009-11-13 Daniel Nagaj , Pawel Wocjan

The readout of the quantum spin state is a challenge for any spin-based quantum computing implementation. We propose a scheme, based on the achieved technique of single electron transistor (SET), to implement the readout of electronic spin…

量子物理 · 物理学 2007-05-23 M. Feng , J. Twamley

We study experimentally demonstrated single-electron ${}^{12}$C CNT QD with significant spin-orbit interaction as a scalable quantum computer candidate. Both electron spin and orbital angular momentum can serve as a logical qubit for…

量子物理 · 物理学 2009-12-21 Magdalena Stobińska , Gerard J. Milburn , Leszek Stobiński

The design and control of atomic-scale spin structures constitute major challenges for spin-based quantum technology platforms, including quantum dots, color centers, and molecular spins. Here, we showcase a strategy for designing the…

Cellular automata are a fundamental computational model with applications in mathematics, computer science, and physics. In this work, we explore the study of cellular automata to cases where the universe is a group, introducing the concept…

群论 · 数学 2025-02-27 Tawfiq Hamed , Mohammad Saleh

Quantum walks are the quantum-mechanical analog of random walks, in which a quantum `walker' evolves between initial and final states by traversing the edges of a graph, either in discrete steps from node to node or via continuous evolution…

量子物理 · 物理学 2015-05-19 Michael S. Underwood , David L. Feder

We propose an effective set of elementary quantum gates which provide an encoded universality and demonstrate the physical feasibility of these gates for the solid-state quantum computer based on the multi-atomic systems in the QED cavity.…

量子物理 · 物理学 2011-09-05 Farid Ablayev , Sergey Andrianov , Sergey Moiseev , Alexander Vasiliev

We show how the trajectories of $d$-dimensional cellular automata (CA) can be used to determine the ground states of $(d+1)$-dimensional classical spin models, and we characterise their quantum phase transition, when in the presence of a…

统计力学 · 物理学 2025-07-31 Konstantinos Sfairopoulos , Luke Causer , Jamie F. Mair , Juan P. Garrahan