On the structure of Clifford quantum cellular automata

DOI10.1063/1.3005565zbMath1159.81340arXiv0804.4447OpenAlexW2076832447WikidataQ62124830 ScholiaQ62124830MaRDI QIDQ3624634

H. Vogts, Dirk Schlingemann, Reinhard F. Werner

Publication date: 30 April 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4447

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of functional analysis in quantum physics (46N50)

Related Items (10)

Integrable spin chains and the Clifford group ⋮ Mixing and localization in random time-periodic quantum circuits of Clifford unitaries ⋮ Invertible subalgebras ⋮ Nontrivial quantum cellular automata in higher dimensions ⋮ An overview of quantum cellular automata ⋮ Classification of translation invariant topological Pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices ⋮ Remarks on the Structure of Clifford Quantum Cellular Automata ⋮ Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D ⋮ Time asymptotics and entanglement generation of Clifford quantum cellular automata ⋮ Void formation in operator growth, entanglement, and unitarity

Cites Work

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• Some remarks on covariant completely positive linear maps on C*-algebras
• Factoring wavelet transforms into lifting steps
• On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors
• SYMPLECTIC GEOMETRIC AND PROJECTIVE REPRESENTATIONS OF FINITE ABELIAN GROUPS

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