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We study the error threshold of topological color codes on Union Jack lattices that allow for the full implementation of the whole Clifford group of quantum gates.
A. Hintermann and D. Merlini, Exact solution of a two dimensional Ising model with pure 3 spin interactions , Phys. Lett. A 41
1972
Earlier work this paper cites.
R. J. Baxter and F. Y. Wu, Exact Solution of an Ising Model with Three-Spin Interactions on a Triangular Lattice , Phys. Rev. Lett. 31
1973
Earlier work this paper cites.
H. Nishimori, Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model , Prog. Theor. Phys. 66
1981
Earlier work this paper cites.
For the two-dimensional Ising ferromagnet on the square lattice ν = 1 \nu=1 and α = 0 \alpha=0 . Note that for the three-body Ising model on the triangular lattice ν = α = 2 / 3 \nu=\alpha=2/3 Baxter 1982
1982
Earlier work this paper cites.
R. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982)
1982
Earlier work this paper cites.
K. Binder and A. P. Young, Spin glasses: Experimental facts, theoretical concepts and open questions , Rev. Mod. Phys. 58
1986
Earlier work this paper cites.
C. Geyer, in 23rd Symposium on the Interface , edited by E. M. Keramidas (Interface Foundation, Fairfax Station, 1991), p. 156
1991
Earlier work this paper cites.
J. M. Yeomans, Statistical Mechanics of Phase Transitions (Oxford University Press, Oxford, 1992)
1992
Earlier work this paper cites.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory , Phys. Rev. A 52
1995
Earlier work this paper cites.
J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996)
1996
Earlier work this paper cites.
A. R. Calderbank and P. W. Shor, Good quantum error-correcting codes exist , Phys. Rev. A 54
1996
Earlier work this paper cites.
D. Gottesman, Class of quantum error-correcting codes saturating the quantum Hamming bound , Phys. Rev. A 54
1996
Earlier work this paper cites.
K. Hukushima and K. Nemoto, Exchange Monte Carlo method and application to spin glass simulations , J. Phys. Soc. Jpn. 65
1996
Cited alongside, same era.
S. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary (1998), (arXiv:quant-phys/9811052)
1998
Cited alongside, same era.
M. Palassini and S. Caracciolo, Universal Finite-Size Scaling Functions in the 3D Ising Spin Glass , Phys. Rev. Lett. 82
1999
Cited alongside, same era.
A. Honecker, M. Picco, and P. Pujol, Universality Class of the Nishimori Point in the 2D ± J \pm J Random-Bond Ising Model , Phys. Rev. Lett. 87
2001
Cited alongside, same era.
H. Nishimori, Statistical Physics of Spin Glasses and Information Processing: An Introduction (Oxford University Press, New York, 2001)
2001
Cited alongside, same era.
M. Van den Nest, W. Dür, and H. J. Briegel, Completeness of the Classical 2D Ising Model and Universal Quantum Computation , Phys. Rev. Lett. 100
2008
Later among the works it cites.
R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki, On thermal stability of topological qubit in Kitaev’s 4D model (2008), (arXiv:quant-phys/0811.0033)
2008
Later among the works it cites.
H. G. Katzgraber, H. Bombin, and M. A. Martin-Delgado, Error Threshold for Color Codes and Random 3-Body Ising Models , Phys. Rev. Lett. 103
2009
Closest in time.
F. Parisen Toldin, A. Pelissetto, and E. Vicari, Strong-Disorder Paramagnetic-Ferromagnetic Fixed Point in the Square-Lattice ± J \pm J Ising Model , J. Stat. Phys. 135
2009
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F. Merz and J. T. Chalker, Two-dimensional random-bond Ising model, free fermions, and the network model , Phys. Rev. B 65
2002
Cited alongside, same era.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory , J. Math. Phys. 43
2002
Cited alongside, same era.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons , Ann. Phys. 303
2003
Cited alongside, same era.
H. Bombin and M. A. Martin-Delgado, Topological Quantum Distilation , Phys. Rev. Lett. 97
2006
Cited alongside, same era.
S. Bravyi and R. Raussendorf, Measurement-based quantum computation with the toric code states , Phys. Rev. A 76
2007
Cited alongside, same era.
C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Non-Abelian anyons and topological quantum computation , Rev. Mod. Phys. 80
2008
Cited alongside, same era.
H. Bombin and M. A. Martin-Delgado, Statistical mechanical models and topological color codes , Phys. Rev. A 77
2008
Cited alongside, same era.
2009
Closest in time.
A. Landahl, J. T. Anderson, and P. Rice, in preparation (2009)
2009
Closest in time.
G. de Las Cuevas, W. Dür, H. J. Briegel, and M. A. Martin-Delgado, Unifying All Classical Spin Models in a Lattice Gauge Theory , Phys. Rev. Lett. 102
2009
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2009
Closest in time.
2009
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2009
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H. Bombin and M. A. Martin-Delgado, Quantum measurements and gates by code deformation , J. Phys. A 42
2009
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H. Bombin, Topological Subsystem Codes (2009), (arXiv:0908.4246)
2009
Closest in time.