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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).
Terry Farrelly
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Density Classification with Non-Unitary Quantum Cellular Automata [PDF]
EntropyThe 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).
Elisabeth Wagner +3 more
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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.
Lorenzo Siro Trezzini +2 more
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A Gentle Introduction to Lattice Field Theory [PDF]
EntropyThe principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
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A compact and power efficient full adder-subtractor layout in QCA technology. [PDF]
PLoS ONEThe pursuit of miniaturizing digital circuits and reducing power consumption has focused attention on non-traditional computing technologies. Among these technologies, quantum dot cellular automata (QCA) stand out as a promising alternative to ...
Ali H Majeed
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Quantum Electrodynamics from Quantum Cellular Automata, and the Tension Between Symmetry, Locality, and Positive Energy [PDF]
EntropyRecent 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).
Todd A. Brun, Leonard Mlodinow
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Functorial Evolution of Quantum Fields
Frontiers in Physics, 2021 We present a compositional algebraic framework to describe the evolution of quantum fields in discretised spacetimes. We show how familiar notions from Relativity and quantum causality can be recovered in a purely order-theoretic way from the causal ...
Stefano Gogioso +2 more
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Quantum walks via quantum cellular automata [PDF]
Quantum Information Processing, 2018 Very much as its classical counterpart, quantum cellular automata are expected to be a great tool for simulating complex quantum systems. Here we introduce a partitioned model of quantum cellular automata and show how it can simulate, with the same amount of resources (in terms of effective Hilbert space dimension), various models of quantum walks. All
Costa, Pedro C. S. +2 more
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Classification of Quantum Cellular Automata [PDF]
Communications in Mathematical Physics, 2020 53 pages, 15 figures; v2: minor corrections, final version in press; v3: minor typo ...
Freedman, Michael, Hastings, Matthew B.
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A Novel Enhanced-Majority-Voter Universal Gate in Quantum Dot Cellular Automata with Energy Dissipation Analysis [PDF]
Журнал нано- та електронної фізики, 2017 The Quantum effects instigate to dominate device recital when transistor geometries are abridged. Sometimes, transistors refrain to have the properties that mark them beneficial for computational designs.
S. Umira +4 more
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