An Index for Quantum Cellular Automata on Fusion Spin Chains [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2023 Interpreting the GNVW index for 1D quantum cellular automata (QCA) in terms of the Jones index for subfactors leads to a generalization of the index defined for QCA on more general abstract spin chains.
Corey Jones, Junhwi Lim
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Three-Dimensional Quantum Cellular Automata from Chiral Semion Surface Topological Order and beyond [PDF]
PRX Quantum, 2022 We construct a novel three-dimensional quantum cellular automaton (QCA) based on a system with short-range entangled bulk and chiral semion boundary topological order. We argue that either the QCA is nontrivial, i.e.
Wilbur E. Shirley +5 more
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Using (1+1)D quantum cellular automata for exploring collective effects in large-scale quantum neural networks. [PDF]
Physical Review E, 2022 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 process information.
E. Gillman, F. Carollo, I. Lesanovsky
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Quantum and Classical Temporal Correlations in (1+1)D Quantum Cellular Automata. [PDF]
Physical Review Letters, 2021 We employ (1+1)-dimensional quantum cellular automata to study the evolution of entanglement and coherence near criticality in quantum systems that display nonequilibrium steady-state phase transitions.
E. Gillman, F. Carollo, I. Lesanovsky
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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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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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Generative Music with Partitioned Quantum Cellular Automata
Applied Sciences, 2023 Cellular automata (CA) are abstract computational models of dynamic systems that change some features with space and time. Music is the art of organising sounds in space and time, and it can be modelled as a dynamic system.
Eduardo Reck Miranda, Hari Shaji
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Computational universality of symmetry-protected topologically ordered cluster phases on 2D Archimedean lattices [PDF]
Quantum, 2020 What kinds of symmetry-protected topologically ordered (SPTO) ground states can be used for universal measurement-based quantum computation in a similar fashion to the 2D cluster state?
Austin K. Daniel +2 more
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Quantum cloning by cellular automata [PDF]
Physical Review A, 2013 We introduce a quantum cellular automaton that achieves approximate phase-covariant cloning of qubits. The automaton is optimized for 1-to-2N economical cloning. The use of the automaton for cloning allows us to exploit different foliations for improving the performance with given resources.
D'ARIANO, GIACOMO +2 more
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Directed percolation in nonunitary quantum cellular automata
Physical Review Research, 2021 Probabilistic cellular automata (CA) provide a classic framework for studying nonequilibrium statistical physics on lattices. A notable example is the Domany-Kinzel CA, which has been used to investigate the process of directed percolation and the ...
Ramil Nigmatullin +2 more
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