Fetching the paper…
Reading the bibliography…
Cellular automata are interacting classical bits that display diverse emergent behaviors, from fractals to random-number generators to Turing-complete computation.
1902
Earlier work this paper cites.
1907
Earlier work this paper cites.
1910
Earlier work this paper cites.
P. W. Anderson, More is different, Science 177
1972
Earlier work this paper cites.
S. Wolfram, Statistical mechanics of cellular automata, Rev. Mod. Phys. 55
1983
Earlier work this paper cites.
P. W. Anderson, Basic Notions of Condensed Matter Physics (Addison-Wesley, New York, 1984)
1984
Earlier work this paper cites.
S. Wolfram, Cryptography with cellular automata, in Conference on the Theory and Application of Cryptographic Techniques (Springer, 1985) pp. 429–432
1985
Earlier work this paper cites.
K. Lindgren and M. G. Nordahl, Complexity measures and cellular automata, Complex Systems 2
1988
Earlier work this paper cites.
G. Grössing and A. Zeilinger, Quantum cellular automata, Complex systems 2
1988
Earlier work this paper cites.
W. Li, Complex patterns generated by next nearest neighbors cellular automata, Computers & graphics 13
1989
Earlier work this paper cites.
J. M. Deutsch, Quantum statistical mechanics in a closed system, Physical Review A 43
1991
Earlier work this paper cites.
C. S. Lent, P. D. Tougaw, W. Porod, and G. H. Bernstein, Quantum cellular automata, Nanotechnology 4
1993
Earlier work this paper cites.
D. A. Meyer, From quantum cellular automata to quantum lattice gases, Journal of Statistical Physics 85
1996
Earlier work this paper cites.
P. D. Tougaw and C. S. Lent, Dynamic behavior of quantum cellular automata, Journal of Applied Physics 80
1996
Earlier work this paper cites.
H. J. Jensen, Self-organized criticality: emergent complex behavior in physical and biological systems , Vol. 10 (Cambridge university press, 1998)
1998
Earlier work this paper cites.
D. Gottesman, The heisenberg representation of quantum computers (1998), arXiv:quant-ph/9807006 [quant-ph]
1998
Earlier work this paper cites.
W. B. Arthur, Complexity and the economy, science 284
1999
Earlier work this paper cites.
P. Sarkar, A brief history of cellular automata, Acm computing surveys (csur) 32
2000
Earlier work this paper cites.
M. Takayasu, H. Takayasu, and K. Fukuda, Dynamic phase transition observed in the internet traffic flow, Physica A: Statistical Mechanics and its Applications 277
2000
Earlier work this paper cites.
D. L. Turcotte and J. B. Rundle, Self-organized complexity in the physical, biological, and social sciences, Proceedings of the National Academy of Sciences 99
2002
Earlier work this paper cites.
M. E. Csete and J. C. Doyle, Reverse engineering of biological complexity, Science 5560
2002
Earlier work this paper cites.
C. Adami, What is complexity?, BioEssays 24
2002
Earlier work this paper cites.
J. M. Carlson and J. Doyle, Complexity and robustness, Proceedings of the national academy of sciences 99
2002
Earlier work this paper cites.
R. Albert and A.-L. Barabási, Statistical mechanics of complex networks, Rev. Mod. Phys. 74
2002
Earlier work this paper cites.
M. E. J. Newman, The Structure and Function of Complex Networks, SIAM Review 45
2003
Earlier work this paper cites.
G. K. Brennen and J. E. Williams, Entanglement dynamics in one-dimensional quantum cellular automata, Phys. Rev. A 68
2003
Earlier work this paper cites.
M. Cook, Universality in elementary cellular automata, Complex systems 15
2004
Earlier work this paper cites.
B. Schumacher and R. F. Werner, Reversible quantum cellular automata, arXiv e-prints , quant-ph/0405174 (2004), arXiv:quant-ph/0405174 [quant-ph]
2004
Earlier work this paper cites.
E. Almaas, B. Kovacs, T. Vicsek, Z. N. Oltvai, and A.-L. Barabási, Global organization of metabolic fluxes in the bacterium escherichia coli, Nature 427
2004
Earlier work this paper cites.
A. Barrat, M. Barthélemy, R. Pastor-Satorras, and A. Vespignani, The architecture of complex weighted networks, Proceedings of the National Academy of Sciences 101
2004
Earlier work this paper cites.
M. Costa, A. L. Goldberger, and C.-K. Peng, Multiscale entropy analysis of biological signals, Physical review E 71
2005
Earlier work this paper cites.
J. Duch and A. Arenas, Scaling of fluctuations in traffic on complex networks, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
J. Fitzsimons, L. Xiao, S. C. Benjamin, and J. A. Jones, Quantum information processing with delocalized qubits under global control, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
P. Di Lena and L. Margara, Computational complexity of dynamical systems: the case of cellular automata, Information and Computation 206
2008
Earlier work this paper cites.
R. K. Standish, Concept and definition of complexity, in Intelligent complex adaptive systems (IGI Global, 2008) pp. 105–124
2008
Earlier work this paper cites.
D.-M. Schlingemann, H. Vogts, and R. F. Werner, On the structure of clifford quantum cellular automata, Journal of Mathematical Physics 49
2008
Cited alongside, same era.
S. Flach and A. V. Gorbach, Discrete breathers—advances in theory and applications, Physics Reports 467
2008
Cited alongside, same era.
F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Discrete solitons in optics, Physics Reports 463
2008
Cited alongside, same era.
M. M. Wolf, F. Verstraete, M. B. Hastings, and J. I. Cirac, Area laws in quantum systems: mutual information and correlations, Physical Review Letters 100
2008
Cited alongside, same era.
I. E. Antoniou and E. T. Tsompa, Statistical analysis of weighted networks, Discrete Dynamics in Nature and Society 2008
2008
Cited alongside, same era.
K. Hashimoto, K. Murata, and R. Yoshii, Out-of-time-order correlators in quantum mechanics, Journal of High Energy Physics 2017
2017
Later among the works it cites.
J. Cotler, N. Hunter-Jones, J. Liu, and B. Yoshida, Chaos, complexity, and random matrices, Journal of High Energy Physics 2017
2017
Later among the works it cites.
2018
Later among the works it cites.
M. B. Şahinoğlu, S. K. Shukla, F. Bi, and X. Chen, Matrix product representation of locality preserving unitaries, Phys. Rev. B 98
2018
Later among the works it cites.
S. Gopalakrishnan and B. Zakirov, Facilitated quantum cellular automata as simple models with non-thermal eigenstates and dynamics, Quantum Science and Technology 3
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P. Calabrese and A. Lefevre, Entanglement spectrum in one-dimensional systems, Physical Review A 78
2008
Cited alongside, same era.
E. Bullmore and O. Sporns, Complex brain networks: graph theoretical analysis of structural and functional systems, Neuroscience 10
2009
Cited alongside, same era.
I. Buluta and F. Nori, Quantum Simulators, Science 326
2009
Cited alongside, same era.
M. Doebeli and I. Ispolatov, Complexity and diversity, Science 328
2010
Cited alongside, same era.
H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, A Rydberg quantum simulator, Nature Physics 6
2010
Cited alongside, same era.
J. Gütschow, S. Uphoff, R. F. Werner, and Z. Zimborás, Time asymptotics and entanglement generation of clifford quantum cellular automata, Journal of Mathematical Physics 51
2010
Cited alongside, same era.
J. Gütschow, V. Nesme, and R. F. Werner, The fractal structure of cellular automata on abelian groups, Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS
2010
Cited alongside, same era.
2018
Later among the works it cites.
S. Gopalakrishnan, Operator growth and eigenstate entanglement in an interacting integrable floquet system, Phys. Rev. B 98
2018
Later among the works it cites.
C. W. von Keyserlingk, T. Rakovszky, F. Pollmann, and S. L. Sondhi, Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws, Phys. Rev. X 8
2018
Later among the works it cites.
B. Sundar, M. A. Valdez, L. D. Carr, and K. R. A. Hazzard, Complex-network description of thermal quantum states in the ising spin chain, Phys. Rev. A 97
2018
Later among the works it cites.
D. Jaschke, M. L. Wall, and L. D. Carr, Open source matrix product states: Opening ways to simulate entangled many-body quantum systems in one dimension, Computer Physics Communications 225
2018
Later among the works it cites.
P. Schauss, Quantum simulation of transverse Ising models with Rydberg atoms, Quantum Science and Technology 3
2018
Later among the works it cites.
F. Alet and N. Laflorencie, Many-body localization: An introduction and selected topics, Comptes Rendus Physique 19
2018
Later among the works it cites.
P. Arrighi, An overview of quantum cellular automata, Natural Computing 18
2019
Later among the works it cites.
F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. Brandao, D. A. Buell, et al. , Quantum supremacy using a programmable superconducting processor, Nature 574
2019
Later among the works it cites.
V. Alba, J. Dubail, and M. Medenjak, Operator entanglement in interacting integrable quantum systems: The case of the rule 54 chain, Phys. Rev. Lett. 122
2019
Later among the works it cites.
I. Lesanovsky, K. Macieszczak, and J. P. Garrahan, Non-equilibrium absorbing state phase transitions in discrete-time quantum cellular automaton dynamics on spin lattices, Quantum Science and Technology 4
2019
Later among the works it cites.
J. Biamonte, M. Faccin, and M. De Domenico, Complex networks from classical to quantum, Communications Physics 2
2019
Later among the works it cites.
L. Herviou, S. Bera, and J. H. Bardarson, Multiscale entanglement clusters at the many-body localization phase transition, Phys. Rev. B 99
2019
Later among the works it cites.
Y. Li, X. Chen, and M. P. A. Fisher, Measurement-driven entanglement transition in hybrid quantum circuits, Phys. Rev. B 100
2019
Later among the works it cites.
C. Adams, J. Pritchard, and J. Shaffer, Rydberg atom quantum technologies, Journal of Physics B: Atomic, Molecular and Optical Physics 53
2019
Later among the works it cites.
T. Farrelly, A review of quantum cellular automata, Quantum 4
2020
Closest in time.
Z. Gong, C. Sünderhauf, N. Schuch, and J. I. Cirac, Classification of matrix-product unitaries with symmetries, Phys. Rev. Lett. 124
2020
Closest in time.
T. M. Wintermantel, Y. Wang, G. Lochead, S. Shevate, G. K. Brennen, and S. Whitlock, Unitary and nonunitary quantum cellular automata with rydberg arrays, Phys. Rev. Lett. 124
2020
Closest in time.
A. A. Bagrov, M. Danilov, S. Brener, M. Harland, A. I. Lichtenstein, and M. I. Katsnelson, Detecting quantum critical points in the t − t ′ t-t^{\prime} fermi-hubbard model via complex network theory, Scientific reports 10
2020
Closest in time.
2020
Closest in time.
2020
Closest in time.
J. Cotler and F. Wilczek, Quantum overlapping tomography, Phys. Rev. Lett. 124
2020
Closest in time.
F. M. Surace, P. P. Mazza, G. Giudici, A. Lerose, A. Gambassi, and M. Dalmonte, Lattice gauge theories and string dynamics in rydberg atom quantum simulators, Phys. Rev. X 10
2020
Closest in time.
A. Celi, B. Vermersch, O. Viyuela, H. Pichler, M. D. Lukin, and P. Zoller, Emerging two-dimensional gauge theories in rydberg configurable arrays, Phys. Rev. X 10
2020
Closest in time.
S. Notarnicola, M. Collura, and S. Montangero, Real-time-dynamics quantum simulation of ( 1 + 1 ) -dimensional (1+1)\text{-dimensional} lattice qed with rydberg atoms, Phys. Rev. Research 2
2020
Closest in time.
R. Khare and S. Choudhury, Localized dynamics following a quantum quench in a non-integrable system: an example on the sawtooth ladder, Journal of Physics B: Atomic, Molecular and Optical Physics 54
2020
Closest in time.
P. Sala, T. Rakovszky, R. Verresen, M. Knap, and F. Pollmann, Ergodicity breaking arising from hilbert space fragmentation in dipole-conserving hamiltonians, Phys. Rev. X 10
2020
Closest in time.
V. Khemani, M. Hermele, and R. Nandkishore, Localization from hilbert space shattering: From theory to physical realizations, Phys. Rev. B 101
2020
Closest in time.
E. Altman, K. R. Brown, G. Carleo, L. D. Carr, E. Demler, C. Chin, B. DeMarco, S. E. Economou, M. A. Eriksson, K.-M. C. Fu, M. Greiner, K. R. Hazzard, R. G. Hulet, A. J. Kollár, B. L. Lev, M. D. Lukin, R. Ma, X. Mi, S. Misra, C. Monroe, K. Murch, Z. Nazario, K.-K. Ni, A. C. Potter, P. Roushan, M. Saffman, M. Schleier-Smith, I. Siddiqi, R. Simmonds, M. Singh, I. Spielman, K. Temme, D. S. Weiss, J. Vučković, V. Vuletić, J. Ye, and M. Zwierlein, Quantum simulators: Architectures and opportunities, PRX Quantum 2
2021
Closest in time.
D. Awschalom, K. K. Berggren, H. Bernien, S. Bhave, L. D. Carr, P. Davids, S. E. Economou, D. Englund, A. Faraon, M. Fejer, S. Guha, M. V. Gustafsson, E. Hu, L. Jiang, J. Kim, B. Korzh, P. Kumar, P. G. Kwiat, M. Lončar, M. D. Lukin, D. A. Miller, C. Monroe, S. W. Nam, P. Narang, J. S. Orcutt, M. G. Raymer, A. H. Safavi-Naeini, M. Spiropulu, K. Srinivasan, S. Sun, J. Vučković, E. Waks, R. Walsworth, A. M. Weiner, and Z. Zhang, Development of quantum interconnects (quics) for next-generation information technologies, PRX Quantum 2
2021
Closest in time.