Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D
DOI10.1063/5.0022185zbMath1500.81018arXiv1907.02075OpenAlexW2953464237MaRDI QIDQ5154265
Publication date: 4 October 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02075
Group rings (16S34) Quantum computation (81P68) Applications of operator theory in the physical sciences (47N50) Cellular automata (computational aspects) (68Q80) Spinor and twistor methods applied to problems in quantum theory (81R25) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Toric topology (57S12) Applications of Clifford algebras to physics, etc. (15A67)
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Cites Work
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- Commuting Pauli Hamiltonians as maps between free modules
- Unitarity plus causality implies localizability
- Index theory of one dimensional quantum walks and cellular automata
- Anyons in an exactly solved model and beyond
- Fault-tolerant quantum computation by anyons
- On the structure of the Witt group of braided fusion categories
- The group structure of quantum cellular automata
- Classification of quantum cellular automata
- On symplectic groups over polynomial rings
- On the structure of the \(GL_ 2\) of a ring
- What makes a complex exact?
- Nontrivial quantum cellular automata in higher dimensions
- BRAID STATISTICS IN LOCAL QUANTUM THEORY
- On the structure of Clifford quantum cellular automata
- ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
- Projective Modules over Laurent Polynomial Rings
- Quantum Error Correction and Orthogonal Geometry
- The Witt group of non-degenerate braided fusion categories
- Topological quantum order: Stability under local perturbations
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