Results 51 to 60 of about 42,518 (174)
Physical Review Letters, 2020 Motivated by recent progress in the experimental development of quantum simulators based on Rydberg atoms, we introduce and investigate the dynamics of a class of (1+1)-dimensional quantum cellular automata.
E. Gillman, F. Carollo, I. Lesanovsky
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Nontrivial Quantum Cellular Automata in Higher Dimensions [PDF]
Communications in Mathematical Physics, 2018 We construct a three-dimensional quantum cellular automaton (QCA), an automorphism of the local operator algebra on a lattice of qubits, which disentangles the ground state of the Walker–Wang three-fermion model.
Jeongwan Haah, L. Fidkowski, M. Hastings
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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. One purpose of this model is to act as a theoretical model of quantum computation, similar to the quantum circuit model.
Perez-Delgado, Carlos A., Cheung, Donny
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An Alternative Geometry for Quantum Cellular Automata [PDF]
VLSI Design, 1998 We examine an alternative layout geometry for the quantum cellular automata (QCA) architecture. In the traditional QCA geometry, all of the cells are placed in a single plane, so that each cell interacts with a particular neighbor only along one of its edges.
Paul G. Krause +3 more
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Designing single layer counter in quantum-dot cellular automata with energy dissipation analysis
Ain Shams Engineering Journal, 2018 Quantum-dot cellular automata is a promising nanotechnology and a possible alternative to complementary metal-oxide-semiconductor (CMOS) transistors. Nowadays, several sequential and combinational logic circuits have been designed and implemented using ...
Md. Abdullah-Al-Shafi +6 more
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Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D [PDF]
Journal of Mathematics and Physics, 2019 We study locality preserving automorphisms of operator algebras on lattices (QCA), specializing in those that are translation invariant and map every prime $p$-dimensional Pauli matrix to a tensor product of Pauli matrices (Clifford). If $\mathfrak C(D,p)
Jeongwan Haah
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Discrete Lorentz covariance for quantum walks and quantum cellular automata
New Journal of Physics, 2014 We formalize a notion of discrete Lorentz transforms for quantum walks (QW) and quantum cellular automata (QCA), in $(1+1)$ -dimensional discrete spacetime.
Pablo Arrighi +2 more
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Cryptographic models of nanocommunicaton network using quantum dot cellular automata: A survey
IET Quantum Communication, 2021 Security of information is an important issue during the transmission of information. The device that performs the encoding and decoding process is called the encoder and decoder, respectively.
Bikash Debnath +2 more
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Quantum-cellular-automata pseudorandom maps [PDF]
Physical Review A, 2004 Quantum computation based on quantum cellular automata (QCA) can greatly reduce the control and precision necessary for experimental implementations of quantum information processing. A QCA system consists of a few species of qubits in which all qubits of a species evolve in parallel. We show that, in spite of its inherent constraints, a QCA system can
Weinstein, Yaakov S. +1 more
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Quantum Features of Natural Cellular Automata [PDF]
Journal of Physics: Conference Series, 2016 Cellular automata can show well known features of quantum mechanics, such as a linear rule according to which they evolve and which resembles a discretized version of the Schroedinger equation. This includes corresponding conservation laws. The class of "natural" Hamiltonian cellular automata is based exclusively on integer-valued variables and ...
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