P. Arrighi and G. Dowek, The physical church-turing thesis and the principles of quantum theory, Int. J. Found. Comput. Sci, vol.23, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00944544

P. Arrighi and J. Grattage, A quantum game of life, Second Symposium on Cellular Automata "Journées Automates Cellulaires" (JAC 2010), vol.13, pp.31-42, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00542373

P. Arrighi and J. Grattage, Intrinsically universal n-dimensional quantum cellular automata, J. Comput. Syst. Sci, vol.78, pp.1883-1898, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00944484

P. Arrighi and J. Grattage, Partitioned quantum cellular automata are intrinsically universal, Nat. Comput, vol.11, pp.13-22, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00944488

P. Arrighi and S. Martiel, Quantum causal graph dynamics, Phys. Rev. D, vol.96, issue.2, p.24026, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02066350

P. Arrighi, V. Nesme, and M. Forets, The dirac equation as a quantum walk: higher dimensions, observational convergence, J. Phys. A: Math. Theor, vol.47, issue.46, p.465302, 2014.

P. Arrighi, V. Nesme, and R. Werner, Unitarity plus causality implies localizability, J. Comput. Syst. Sci, vol.77, pp.372-378, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00945710

P. Arrighi, V. Nesme, and R. Werner, Unitarity plus causality implies localizability (full version), J. Comput. Syst. Sci, vol.77, issue.2, pp.372-378, 2011.

P. Arrighi, V. Nesme, and R. F. Werner, One-dimensional quantum cellular automata over finite, unbounded configurations, LATA 2008, vol.5196, pp.64-75, 2008.

I. Bialynicki-birula, Weyl, Dirac, and Maxwell equations on a lattice as unitary cellular automata, Phys. Rev. D, vol.49, pp.6920-6927, 1994.

G. Chiribella, G. M. D'ariano, P. Perinotti, and B. Valiron, Quantum computations without definite causal structure, Phys. Rev. A, vol.88, issue.2, p.22318, 2013.

M. Gromov, Endomorphisms of symbolic algebraic varieties, J. Eur. Math. Soc, vol.1, issue.2, pp.109-197, 1999.

D. A. Meyer, From quantum cellular automata to quantum lattice gases, J. Stat. Phys, vol.85, issue.5-6, pp.551-574, 1996.

E. F. Moore, Machine models of self-reproduction, Proceedings of Symposia in Applied Mathematics, 1962.

J. Myhill, The converse of Moore's Garden-of-Eden theorem, Proc. Am. Math. Soc, pp.685-686, 1963.

O. Oreshkov, F. Costa, and ?. Brukner, Quantum correlations with no causal order, Nat. Commun, vol.3, p.1092, 2012.

B. Schumacher and R. Werner, Reversible quantum cellular automata, 2004.

S. Succi and R. Benzi, Lattice boltzmann equation for quantum mechanics, Physica D: Nonlinear Phenomena, vol.69, issue.3, pp.327-332, 1993.

H. Zenil, An Algorithmic Information Calculus for Causal Discovery and Reprogramming Systems, 2018.

H. Zenil, N. A. Kiani, and J. Tegnér, Algorithmic information dynamics of emergent, persistent, and colliding particles in the game of life, From Parallel to Emergent Computing, pp.367-383, 2019.

T. Ceccherini-silberstein and M. Coornaert, Cellular Automata and Groups, Springer Monographs in Mathematics, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00527516

T. Ceccherini-silberstein, M. Coornaert, and H. Li, Homoclinically expansive actions and a Garden of Eden theorem for harmonic models, Comm. Math. Phys

T. Ceccherini-silberstein, A. Mach, and F. Scarabotti, Amenable groups and cellular automata, Ann. Inst. Fourier (Grenoble), vol.49, pp.673-685, 1999.

M. Gromov, Endomorphisms of symbolic algebraic varieties, J. Eur. Math. Soc. (JEMS), vol.1, pp.109-197, 1999.

E. F. Moore, Machine models of self-reproduction, Proceedings of Symposia in Applied Mathematics, vol.14, pp.17-34, 1963.

J. Myhill, The converse of Moore's Garden-of-Eden theorem, Proc. Amer. Math. Soc, vol.14, pp.685-686, 1963.

K. Schmidt, Dynamical Systems of Algebraic Origin, Progress in Mathematics, vol.128, 1995.

C. Networks and .. .. ,

E. Goles, P. Montealegre, and M. Ríos-wilson, Complexity-Theoretic Aspects of Expanding Cellular Automata, vol.20

, Augusto Modanese Iterative Arrays with Finite Inter-cell Communication

M. Kutrib, Andreas Malcher Bounding the Minimal Number of Generators of Groups and Monoids of Cellular Automata

A. Castillo, -. Ramirez, and M. Sanchez-alvarez,

K. Szilárd-zsolt-fazekas and . Hoshi, and Akihiro Yamamura Iterative Arrays with Self-verifying Communication Cell

M. Kutrib and T. Worsch, Generic Properties in Some Classes of Automaton Groups

.. .. Thibault-godin-author-index,