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We find that the overlapping of a topological quantum color code state, representing a quantum memory, with a factorized state of qubits can be written as the partition function of a 3-body classical Ising model on triangular or Union Jack lattices.
H.A. Krammers and G.H. Wannier, “Statistics of the Two-Dimensional Ferromagnet. Part I”; Phys. Rev. 60
1941
Earlier work this paper cites.
G.F. Newell and E.W. Montroll, “On the Theory of the Ising Model of Ferromagnetism”; Rev. Mod. Phys. 25
1953
Earlier work this paper cites.
P. Kasteleyn, “The statistics of dimers on a lattice, I. The number of dimer arrangements on a quadratic lattice”, Physica 27
1961
Earlier work this paper cites.
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.
D.W. Wood and H.P. Griffiths, “A Self Dual Relation for an Ising Model with Triplet Interactions”; J. Phys. C: Solid State Phys. 5
1972
Earlier work this paper cites.
D. Merlini and C. Gruber, “Spin-1/2 Lattice System: Group Structure and Duality Relation”; J. Math. Phys. 13
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.
R.J. Baxter and F.Y. Wu; “Ising Model on a Triangular Lattice with Three-Spin Interactions. The eigenvalue equation”; Aust. J. Phys. 27
1974
Earlier work this paper cites.
F. Barahona, “On the computational complexity of Ising spin glass models”, J. Phys. A: Math. Gen. 15
1982
Cited alongside, same era.
D. Gottesman, “Class of quantum error-correcting codes saturating the quantum Hamming bound”. Phys. Rev. A 54
1996
Cited alongside, same era.
R. Raussendorf and H.-J. Briegel, “A One-Way Quantum Computer”, Phys. Rev. Lett. 86
2001
Cited alongside, same era.
Hans J. Briegel and Robert Raussendorf, ”Persistent Entanglement in Arrays of Interacting Particles”; Phys. Rev. Lett. 86
2001
Cited alongside, same era.
E. Dennis, A. Kitaev, A. Landahl, J. Preskill, “Topological quantum memory”. J. Math. Phys. 43
2002
Cited alongside, same era.
A. Yu. Kitaev, “Fault-tolerant quantum computation by anyons”, Annals of Physics 303
H. Bombin and M. A. Martin-Delgado; “Topological Quantum Distillation”; Phys. Rev. Lett. 97
2006
Later among the works it cites.
M. Van den Nest, W. Dür, and H. J. Briegel, “Classical Spin Models and the Quantum-Stabilizer Formalism”; Phys. Rev. Lett. 98
2007
Closest in time.
S. Bravyi and R. Raussendorf, “Measurement-based quantum computation with the toric code states”; Phys. Rev. A 76
2007
Closest in time.
H. Bombin and M.A. Martin-Delgado; “Topological Computation without Braiding”; Phys. Rev. Lett. 98
2007
Closest in time.
H. Bombin and M.A. Martin-Delgado “Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates”; Phys. Rev. B 75
2007
Closest in time.
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2003
Cited alongside, same era.
X.-G. Wen. Quantum Field Theory of Many-body Systems
2004
Cited alongside, same era.
M. Levin and X.-G. Wen, “String-net condensation: A physical mechanism for topological phases”. Phys. Rev. B 71
2005
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
2007
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H. Bombin and M.A. Martin-Delgado; “Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study”, Phys. Rev. A 76
2007
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