Fetching the paper…
Reading the bibliography…
Spin models are widely studied in the natural sciences, from investigating magnetic materials in condensed matter physics to studying neural networks.
Memoirs of the American Mathematical Society (1966)
Berger, R.: The undecidability of the domino problem · 1966
Earlier work this paper cites.
Inventiones Mathematicae 12
Robinson, R.: Undecidability and nonperiodicity for tilings of the plane · 1971
Earlier work this paper cites.
Addison-Wesley (1979)
Hopcroft, J., Ullman, J.: Introduction to Automata Theory, Languages and Computation · 1979
Earlier work this paper cites.
Academic Press Limited (1982)
Baxter, R.J.: Exactly solvable models in statistical mechanics · 1982
Earlier work this paper cites.
Journal of Computer and System Sciences (1988)
Gacs, P., Reif, J.: A simple three-dimensional real-time reliable cellular array · 1988
Earlier work this paper cites.
Science (1996)
Lloyd, S.: Universal quantum simulators · 1996
Earlier work this paper cites.
Journal of Statistical Physics (2001)
Gacs, P.: Reliable cellular automata with self-organization · 2001
Earlier work this paper cites.
In: Lossless Data Compression Handbook. Academic Press (2003)
Fenwick, P.: Universal codes · 2003
Earlier work this paper cites.
Princeton University Press (2006)
Miller, S.J., Takloo-Bighash, R.: An Invitation to Modern Number Theory · 2006
Cited alongside, same era.
Physical Review Letters (2008)
den Nest, M.V., Dur, W., Briegel, H.: Completeness of the classical 2D Ising model and universal quantum computation · 2008
Cited alongside, same era.
Physical Review Letters (2009)
de las Cuevas, G., Duer, W., Briegel, H.J., Martin-Delgado, M.A.: Unifying all classical spin models in a lattice gauge theory · 2009
Cited alongside, same era.
Journal of Statistical Mechanics: Theory and Experiment (2009)
de las Cuevas, G., Dur, W., den Nest, M.V., Briegel, H.J.: Completeness of classical spin models and universal quantum computation · 2009
Cited alongside, same era.
FOCS09: Proc. 50th Annual IEEE Sym. on Foundations of Computer Science (2009)
Gottesman, D., Irani, S.: The quantum and classical complexity of translationally invariant tiling and Hamiltonian problems · 2009
Cited alongside, same era.
Journal of Statistical Mechanics: Theory and Experiment (2011)
Nature Physics (2012)
Houck, A., Tureci, H., Koch, J.: On-chip quantum simulation with superconducting circuits · 2012
Later among the works it cites.
Physical Review A (2012)
Karimipour, V., Zarei, M.H.: Algorithmic proof for the completeness of the two-dimensional ising model · 2012
Later among the works it cites.
Physical Review A (2012)
Karimipour, V., Zarei, M.H.: Completeness of classical φ 4 \varphi^{4} theory on two dimensional lattices · 2012
Later among the works it cites.
Nature (2015)
Cubitt, T.S., Perez-Garcia, D., Wolf, M.M.: Undecidability of the spectral gap · 2015
Later among the works it cites.
Science (2016)
de las Cuevas, G., Cubitt, T.: Simple universal models capture all classical spin physics · 2016
Later among the works it cites.
Ann. Henri Poincare (2017)
Bausch, J., Cubitt, T., Ozols, M.: The complexity of translationally-invariant spin chains with low local dimension · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Xu, Y., et al.: The u(1) lattice gauge theory universally connects all classical models with continuous variables, including background gravity · 2011
Cited alongside, same era.
Nature Physics (2012)
Blatt, R., Roos, C.: Quantum simulations with trapped ions · 2012
Cited alongside, same era.
Nature Physics (2012)
Bloch, I., Dalibard, J., Nascimbene, S.: Quantum simulations with ultracold quantum gases · 2012
Cited alongside, same era.
Cubitt, T., Montanaro, A., Piddock, S.: Universal quantum Hamiltonians · 2018
Closest in time.