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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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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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Matrix-product unitaries: Beyond quantum cellular automata [PDF]
QuantumMatrix-product unitaries (MPU) are 1D tensor networks describing time evolution and unitary symmetries of quantum systems, while their action on states by construction preserves the entanglement area law.
Georgios Styliaris +3 more
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An overview of quantum cellular automata [PDF]
Natural Computing, 2019 Quantum cellular automata are arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G.
P. Arrighi
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Quantum Cellular Automata on Symmetric Subalgebras [PDF]
QuantumWe investigate quantum cellular automata (QCA) on one-dimensional spin systems defined over a subalgebra of the full local operator algebra – the symmetric subalgebra under a finite Abelian group symmetry $G$.
Ruochen Ma, Yabo Li, Meng Cheng
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Quantum Cellular Automata [PDF]
, 2021 Quantum Cellular Automata (QCA) are lattices with a quantum system at each site that have discrete time evolution with finite information propagation speed. They have been showed very promising, for instance, as a model for lattices evolving via time-dependent Hamiltonians.
Raul Conchello +2 more
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Classification of Quantum Cellular Automata [PDF]
Communications in Mathematical Physics, 2019 There exists an index theory to classify strictly local quantum cellular automata in one dimension (Fidkowski et al. in Interacting invariants for Floquet phases of fermions in two dimensions, 2017. arXiv:1703.07360 ; Gross et al. in Commun Math Phys 310(
M. Freedman, M. Hastings
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Scrambling in quantum cellular automata [PDF]
Physical Review B, 2023 Scrambling is the delocalization of quantum information over a many-body system and underlies all quantum-chaotic dynamics. We employ discrete quantum cellular automata as classically simulable toy models of scrambling.
Brian Kent, Sarah Racz, Sanjit Shashi
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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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Mixed Multi-Chaos Quantum Image Encryption Scheme Based on Quantum Cellular Automata (QCA)
Fractal and Fractional, 2023 The advent of quantum computers could enable the resolution of complex computational problems that conventional cryptographic protocols find challenging.
Nehal Abd El-Salam Mohamed +2 more
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