The Group Structure of Quantum Cellular Automata
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04316-x
Abstract: We consider the group structure of quantum cellular automata (QCA) modulo circuits and show that it is abelian even without assuming the presence of ancillas, at least for most reasonable choices of control space; this… read more here.
Keywords: group; structure quantum; group structure; cellular automata ... See more keywords
An unconventional Arithmetic Logic Unit design and computing in Actin Quantum Cellular Automata
Sign Up to like & getrecommendations! Published in 2019 at "Microsystem Technologies"
DOI: 10.1007/s00542-019-04590-1
Abstract: An efficient design of basic Arithmetic Logic Unit (ALU), based on Actin based Quantum Cellular Automata (QCA), is presented in this paper. Boolean logic function has been realized by the collisions occur in molecular QCA… read more here.
Keywords: logic unit; cellular automata; logic; quantum cellular ... See more keywords
A quantum cellular automaton for one-dimensional QED
Sign Up to like & getrecommendations! Published in 2020 at "Quantum Information Processing"
DOI: 10.1007/s11128-019-2555-4
Abstract: 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 gauge covariance… read more here.
Keywords: quantum; dimensional qed; one dimensional; cellular automaton ... See more keywords
Coarse-grained quantum cellular automata
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review A"
DOI: 10.1103/physreva.103.032224
Abstract: One can think of some physical evolutions as being the emergent-effective result of a microscopic discrete model. Inspired by classical coarse-graining procedures, we provide a simple procedure to coarse-grain color-blind quantum cellular automata that follow… read more here.
Keywords: cellular automata; quantum cellular; coarse; grained quantum ... See more keywords
Thirring quantum cellular automaton
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DOI: 10.1103/physreva.97.032132
Abstract: We analytically diagonalize a discrete-time on-site interacting fermionic cellular automaton in the two-particle sector. Important features of the solutions sensibly differ from those of analogous Hamiltonian models. In particular, we find a wider variety of… read more here.
Keywords: cellular automaton; thirring quantum; quantum cellular; automaton ... See more keywords
Asynchronism and nonequilibrium phase transitions in (1+1)-dimensional quantum cellular automata.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.l032103
Abstract: Probabilistic cellular automata provide a simple framework for exploring classical nonequilibrium processes. Recently, quantum cellular automata have been proposed that rely on the propagation of a one-dimensional quantum state along a fictitious discrete time dimension… read more here.
Keywords: quantum cellular; dimensional quantum; quantum; asynchronism ... See more keywords
Using (1+1)D quantum cellular automata for exploring collective effects in large-scale quantum neural networks.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.l022102
Abstract: Central to the field of quantum machine learning is the design of quantum perceptrons and neural network architectures. A key question in this regard is the impact of quantum effects on the way such models… read more here.
Keywords: quantum cellular; neural networks; quantum; large scale ... See more keywords