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Classification of Quantum Cellular Automata [PDF]
Communications in Mathematical Physics, 2022 There exists an index theory to classify strictly local quantum cellular automata in one dimension. We consider two classification questions. First, we study to what extent this index theory can be applied in higher dimensions via dimensional reduction ...
Hastings, M. B., Freedman, M.
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Renormalisation of Quantum Cellular Automata [PDF]
QuantumWe study a coarse-graining procedure for quantum cellular automata on hypercubic lattices that consists in grouping neighboring cells into tiles and selecting a subspace within each tile.
Alessandro Bisio +2 more
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A Quantum Cellular Automata Type Architecture with Quantum Teleportation for Quantum Computing [PDF]
Entropy (Basel), 2019 We propose an architecture based on Quantum Cellular Automata which allows the use of only one type of quantum gate per computational step, using nearest neighbor interactions.
Ntalaperas D, Giannakis K, Konofaos N.
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A review of quantum cellular automata [PDF]
Quantum, 2020 Discretizing spacetime is often a natural step towards modelling physical systems. For quantum systems, if we also demand a strict bound on the speed of information propagation, we get quantum cellular automata (QCAs).
Farrelly, Terry
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An overview of Quantum Cellular Automata [PDF]
Natural Computing, 2019 International audienceQuantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G.
Arrighi, Pablo
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Quantum Cellular Automata [PDF]
, 2021 Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutors: Sofyan Iblisdir, Alberto Ruiz de AlarcónQuantum Cellular Automata (QCA) are lattices with a quantum system at each site that have discrete time evolution
Conchello Vendrell, Raul
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Quantum Electrodynamics from Quantum Cellular Automata, and the Tension Between Symmetry, Locality, and Positive Energy. [PDF]
Entropy (Basel)Recent work has demonstrated a correspondence that bridges quantum information processing and high-energy physics: discrete quantum cellular automata (QCA) can, in the continuum limit, reproduce quantum field theories (QFTs).
Brun TA, Mlodinow L.
europepmc +2 more sources
Density Classification with Non-Unitary Quantum Cellular Automata. [PDF]
Entropy (Basel)The density classification (DC) task, a computation which maps global density information to local density, is studied using one-dimensional non-unitary quantum cellular automata (QCAs).
Wagner E +3 more
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Local unitary quantum cellular automata [PDF]
Physical Review A, 2007 In this paper we present a quantization of cellular automata. Our formalism is based on a lattice of qudits and an update rule consisting of local unitary operators that commute with their own lattice translations.
Pérez-Delgado, Carlos A, Cheung, Donny
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Time asymptotics and entanglement generation of Clifford quantum cellular automata
Journal of Mathematical Physics, 2010 We consider Clifford quantum cellular automata (CQCAs) and their time-evolution. CQCAs are an especially simple type of quantum cellular automata, yet they show complex asymptotics and can even be a basic ingredient for universal quantum computation.
Johannes Gutschow +2 more
exaly +3 more sources