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Discretizing spacetime is often a natural step towards modelling physical systems.
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D. J. Shepherd, T. Franz, and R. F. Werner · 2006
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A. W. W. Ludwig · 2015
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H. C. Po, L. Fidkowski, T. Morimoto, A. C. Potter, and A. Vishwanath · 2016
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The Cellular Automaton Interpretation of Quantum Mechanics
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K. G. H. Vollbrecht and J. I. Cirac · 2006
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S. C. Benjamin, A. Ardavan, G. A. D. Briggs, D. A. Britz, D. Gunlycke, J. Jefferson, M. A. G. Jones, D. F. Leigh, B. W. Lovett, A. N. Khlobystov, S. A. Lyon, J. J. L. Morton, K. Porfyrakis, M. R. Sambrook, and A. M. Tyryshkin · 2006
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Efficient approximation of the dynamics of one-dimensional quantum spin systems
T. J. Osborne · 2006
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Quantum Cellular Automata: Theory and Applications
C. A. Pérez Delgado · 2007
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Local unitary quantum cellular automata
C. A. Pérez-Delgado and D. Cheung · 2007
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G. ’t Hooft · 2016
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Algebraic methods for quantum codes on lattices
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Lectures on the Quantum Hall Effect
D. Tong · 2016
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Anomalous Floquet-Anderson insulator as a nonadiabatic quantized charge pump
P. Titum, E. Berg, M. S. Rudner, G. Refael, and N. H. Lindner · 2016
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Bulk-edge correspondence of one-dimensional quantum walks
C. Cedzich, F. A. Grünbaum, C. Stahl, L. Velázquez, A. H. Werner, and R. F. Werner · 2016
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Quantum walking in curved spacetime
P. Arrighi, S. Facchini, and M. Forets · 2016
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P. Arrighi and S. Facchini · 2016
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Electric quantum walks in two dimensions
L. A. Bru, M. Hinarejos, F. Silva, G. J. de Valcárcel, and E. Roldán · 2016
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D. A. Meyer and A. Shakeel · 2016
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G. M. D’Ariano and P. Perinotti · 2016
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Dirac cellular automaton from split-step quantum walk
A. Mallick and C. Chandrashekar · 2016
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Quantum cellular automaton theory of light
A. Bisio, G. M. D’Ariano, and P. Perinotti · 2016
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Bounds on the speedup in quantum signaling
P. Arrighi, V. Nesme, and R. F. Werner · 2017
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Quantum causal graph dynamics
P. Arrighi and S. Martiel · 2017
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Matrix product unitaries: structure, symmetries, and topological invariants
J. I. Cirac, D. Perez-Garcia, N. Schuch, and F. Verstraete · 2017
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M. Holzäpfel and M. B. Plenio · 2017
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Colloquium: Zoo of quantum-topological phases of matter
X.-G. Wen · 2017
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M. DeMarco and X.-G. Wen · 2017
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Nontrivial Quantum Cellular Automata in Higher Dimensions
J. Haah, L. Fidkowski, and M. B. Hastings · 2018
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Scalar fermionic cellular automata on finite Cayley graphs
P. Perinotti and L. Poggiali · 2018
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Quantum Cellular Automata: Schrödinger and Heisenberg Pictures
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Fermion-to-qubit mappings with varying resource requirements for quantum simulation
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Matrix product representation of locality preserving unitaries
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Complete homotopy invariants for translation invariant symmetric quantum walks on a chain
C. Cedzich, T. Geib, C. Stahl, L. Velázquez, A. H. Werner, and R. F. Werner · 2018
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Interacting invariants for Floquet phases of fermions in two dimensions
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