D. P. Hou and C. M. Bai, “J-dendriform algebras,” Front. Math. Chin. 7, 29–49 (2012).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

E. C. Rowell, Y. Zhang, Y. S. Wu, and M. L. Ge, “Extraspecial two-groups, generalized Yang–Baxter equations and braiding quantum gates,” Quantum Inf. Comput. 10, 685–702 (2010).

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

J. Dubail, J. L. Jacobsen, and H. Saleur, “Exact solution of the anisotropic special transition in the O(n) model in two dimensions,” Phys. Rev. Lett. 103, 145701 (2009).

[Crossref]

S. W. Hu, K. Xue, and M. L. Ge, “Optical simulation of the Yang-Baxter equation,” Phys. Rev. A 78, 022319 (2008).

[Crossref]

C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. D. Sarma, “Non-Abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80, 1083–1159 (2008).

[Crossref]

K. Hikami, “Skein theory and topological quantum registers: braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states,” Ann. Phys. 323, 1729–1769 (2008).

[Crossref]

E. Ardonne and K. Schoutens, “Wavefunctions for topological quantum registers,” Ann. Phys. 322, 201–235 (2007).

[Crossref]

A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, “Interacting anyons in topological quantum liquids: the golden chain,” Phys. Rev. Lett. 98, 160409 (2007).

[Crossref]

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).

[Crossref]

Y. Zhang and M. L. Ge, “GHZ states, almost-complex structure and Yang–Baxter equation,” Quantum Inf. Process. 6, 363–379 (2007).

[Crossref]

J. L. Chen, K. Xue, and M. L. Ge, “Braiding transformation, entanglement swapping, and Berry phase in entanglement space,” Phys. Rev. A 76, 042324 (2007).

[Crossref]

J. M. Franko, E. C. Rowell, and Z. Wang, “Extraspecial 2-groups and images of braid group representations,” J. Knot Theory Ramif. 15, 413–427 (2006).

[Crossref]

Y. Zhang, L. H. Kauffman, and M. L. Ge, “Universal quantum gate, Yang–Baxterization and Hamiltonian,” Int. J. Quantum. Inform. 3, 669–678 (2005).

[Crossref]

L. H. Kauffman and S. J. Lomonaco, “Braiding operators are universal quantum gates,” New J. Phys. 6, 134 (2004).

[Crossref]

J. Lu, L. Zhou, and L. M. Kuang, “Linear optics implementation for quantum game with two players,” Phys. Lett. A 330, 48–53 (2004).

[Crossref]

J. L. O’ Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).

[Crossref]

A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Ann. Phys. 303, 2–30 (2003).

[Crossref]

H. A. Dye, “Unitary solutions to the Yang–Baxter equation in dimension four,” Quant. Info. Proc. 2, 117–152 (2003).

[Crossref]

M. H. Freedman, A. Y. Kitaev, and Z. H. Wang, “Simulation of topological field theories by quantum computers,” Commun. Math. Phys. 227, 587–603 (2002).

[Crossref]

S. S. Li, G. L. Long, F. S. Bai, S. L. Feng, and H. Z. Zheng, “Quantum computing,” Proc. Natl. Acad. Sci. USA 98, 11847–11848 (2001).

[Crossref]

H. X. Chen, “Cpcycle deformations, braided monoidal categories and quasitriangularity,” Chin. Sci. Bull. 44, 510–513 (1999).

[Crossref]

S. C. Billey, “Kostant polynomials and the cohomology ring for G/B,” Proc. Natl. Acad. Sci. USA 94, 29–32 (1997).

P. Gui, “Another solution of Yang–Baxter equation on set and ‘metahomomorphisms on groups’,” Chin. Sci. Bull. 42, 1852–1855 (1997).

[Crossref]

D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, “Measurement of the spin-excitation continuum in one-dimensional KCuF3 using neutron scattering,” Phys. Rev. B 52, 13368–13380 (1995).

[Crossref]

D. A. Tennant, T. G. Perring, R. A. Cowley, and S. E. Nagler, “Unbound spinons in the S=1/2 antiferromagnetic chain KCuF3,” Phys. Rev. Lett. 70, 4003–4006 (1993).

[Crossref]

C. P. Sun, “The differential realization of new solutions for Yang–Baxter equation,” Chin. Sci. Bull. 37, 379 (1992).

M. Gerstenhaber and S. D. Schack, “Bialgebra cohomology, deformations, and quantum groups,” Proc. Natl. Acad. Sci. USA 87, 478–481 (1990).

[Crossref]

I. B. Frenkel and N. Jing, “Vertex representations of quantum affine algebras,” Proc. Natl. Acad. Sci. USA 85, 9373–9377 (1988).

[Crossref]

R. J. Baxter, “Partition function of the Eight-Vertex lattice model,” Ann. Phys. 70, 193–228 (1972).

[Crossref]

H. N. V. Temperley and E. H. Lieb, “Relations between the “percolation” and “colouring” problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the “percolation” problem,” Proc. R. Soc. London Ser. A 322, 251–280 (1971).

[Crossref]

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[Crossref]

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[Crossref]

E. Ardonne and K. Schoutens, “Wavefunctions for topological quantum registers,” Ann. Phys. 322, 201–235 (2007).

[Crossref]

D. P. Hou and C. M. Bai, “J-dendriform algebras,” Front. Math. Chin. 7, 29–49 (2012).

[Crossref]

S. S. Li, G. L. Long, F. S. Bai, S. L. Feng, and H. Z. Zheng, “Quantum computing,” Proc. Natl. Acad. Sci. USA 98, 11847–11848 (2001).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

R. J. Baxter, “Partition function of the Eight-Vertex lattice model,” Ann. Phys. 70, 193–228 (1972).

[Crossref]

R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, 1982).

S. C. Billey, “Kostant polynomials and the cohomology ring for G/B,” Proc. Natl. Acad. Sci. USA 94, 29–32 (1997).

J. L. O’ Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).

[Crossref]

H. X. Chen, “Cpcycle deformations, braided monoidal categories and quasitriangularity,” Chin. Sci. Bull. 44, 510–513 (1999).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

J. L. Chen, K. Xue, and M. L. Ge, “Braiding transformation, entanglement swapping, and Berry phase in entanglement space,” Phys. Rev. A 76, 042324 (2007).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000), pp. 1–607.

D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, “Measurement of the spin-excitation continuum in one-dimensional KCuF3 using neutron scattering,” Phys. Rev. B 52, 13368–13380 (1995).

[Crossref]

D. A. Tennant, T. G. Perring, R. A. Cowley, and S. E. Nagler, “Unbound spinons in the S=1/2 antiferromagnetic chain KCuF3,” Phys. Rev. Lett. 70, 4003–4006 (1993).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).

[Crossref]

J. Dubail, J. L. Jacobsen, and H. Saleur, “Exact solution of the anisotropic special transition in the O(n) model in two dimensions,” Phys. Rev. Lett. 103, 145701 (2009).

[Crossref]

H. A. Dye, “Unitary solutions to the Yang–Baxter equation in dimension four,” Quant. Info. Proc. 2, 117–152 (2003).

[Crossref]

A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, “Interacting anyons in topological quantum liquids: the golden chain,” Phys. Rev. Lett. 98, 160409 (2007).

[Crossref]

S. S. Li, G. L. Long, F. S. Bai, S. L. Feng, and H. Z. Zheng, “Quantum computing,” Proc. Natl. Acad. Sci. USA 98, 11847–11848 (2001).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

J. M. Franko, E. C. Rowell, and Z. Wang, “Extraspecial 2-groups and images of braid group representations,” J. Knot Theory Ramif. 15, 413–427 (2006).

[Crossref]

C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. D. Sarma, “Non-Abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80, 1083–1159 (2008).

[Crossref]

A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, “Interacting anyons in topological quantum liquids: the golden chain,” Phys. Rev. Lett. 98, 160409 (2007).

[Crossref]

M. H. Freedman, A. Y. Kitaev, and Z. H. Wang, “Simulation of topological field theories by quantum computers,” Commun. Math. Phys. 227, 587–603 (2002).

[Crossref]

I. B. Frenkel and N. Jing, “Vertex representations of quantum affine algebras,” Proc. Natl. Acad. Sci. USA 85, 9373–9377 (1988).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

E. C. Rowell, Y. Zhang, Y. S. Wu, and M. L. Ge, “Extraspecial two-groups, generalized Yang–Baxter equations and braiding quantum gates,” Quantum Inf. Comput. 10, 685–702 (2010).

S. W. Hu, K. Xue, and M. L. Ge, “Optical simulation of the Yang-Baxter equation,” Phys. Rev. A 78, 022319 (2008).

[Crossref]

Y. Zhang and M. L. Ge, “GHZ states, almost-complex structure and Yang–Baxter equation,” Quantum Inf. Process. 6, 363–379 (2007).

[Crossref]

J. L. Chen, K. Xue, and M. L. Ge, “Braiding transformation, entanglement swapping, and Berry phase in entanglement space,” Phys. Rev. A 76, 042324 (2007).

[Crossref]

Y. Zhang, L. H. Kauffman, and M. L. Ge, “Universal quantum gate, Yang–Baxterization and Hamiltonian,” Int. J. Quantum. Inform. 3, 669–678 (2005).

[Crossref]

C. N. Yang and M. L. Ge, Braid Group, Knot Theory and Statistical Mechanics, 2nd ed. (World Scientific, 1994), pp. 1–176.

M. Gerstenhaber and S. D. Schack, “Bialgebra cohomology, deformations, and quantum groups,” Proc. Natl. Acad. Sci. USA 87, 478–481 (1990).

[Crossref]

P. Gui, “Another solution of Yang–Baxter equation on set and ‘metahomomorphisms on groups’,” Chin. Sci. Bull. 42, 1852–1855 (1997).

[Crossref]

K. Hikami, “Skein theory and topological quantum registers: braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states,” Ann. Phys. 323, 1729–1769 (2008).

[Crossref]

D. P. Hou and C. M. Bai, “J-dendriform algebras,” Front. Math. Chin. 7, 29–49 (2012).

[Crossref]

S. W. Hu, K. Xue, and M. L. Ge, “Optical simulation of the Yang-Baxter equation,” Phys. Rev. A 78, 022319 (2008).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

J. Dubail, J. L. Jacobsen, and H. Saleur, “Exact solution of the anisotropic special transition in the O(n) model in two dimensions,” Phys. Rev. Lett. 103, 145701 (2009).

[Crossref]

I. B. Frenkel and N. Jing, “Vertex representations of quantum affine algebras,” Proc. Natl. Acad. Sci. USA 85, 9373–9377 (1988).

[Crossref]

Y. Zhang, L. H. Kauffman, and M. L. Ge, “Universal quantum gate, Yang–Baxterization and Hamiltonian,” Int. J. Quantum. Inform. 3, 669–678 (2005).

[Crossref]

L. H. Kauffman and S. J. Lomonaco, “Braiding operators are universal quantum gates,” New J. Phys. 6, 134 (2004).

[Crossref]

A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, “Interacting anyons in topological quantum liquids: the golden chain,” Phys. Rev. Lett. 98, 160409 (2007).

[Crossref]

A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Ann. Phys. 303, 2–30 (2003).

[Crossref]

M. H. Freedman, A. Y. Kitaev, and Z. H. Wang, “Simulation of topological field theories by quantum computers,” Commun. Math. Phys. 227, 587–603 (2002).

[Crossref]

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).

[Crossref]

J. Lu, L. Zhou, and L. M. Kuang, “Linear optics implementation for quantum game with two players,” Phys. Lett. A 330, 48–53 (2004).

[Crossref]

S. S. Li, G. L. Long, F. S. Bai, S. L. Feng, and H. Z. Zheng, “Quantum computing,” Proc. Natl. Acad. Sci. USA 98, 11847–11848 (2001).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

H. N. V. Temperley and E. H. Lieb, “Relations between the “percolation” and “colouring” problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the “percolation” problem,” Proc. R. Soc. London Ser. A 322, 251–280 (1971).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

L. H. Kauffman and S. J. Lomonaco, “Braiding operators are universal quantum gates,” New J. Phys. 6, 134 (2004).

[Crossref]

S. S. Li, G. L. Long, F. S. Bai, S. L. Feng, and H. Z. Zheng, “Quantum computing,” Proc. Natl. Acad. Sci. USA 98, 11847–11848 (2001).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

J. Lu, L. Zhou, and L. M. Kuang, “Linear optics implementation for quantum game with two players,” Phys. Lett. A 330, 48–53 (2004).

[Crossref]

A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, “Interacting anyons in topological quantum liquids: the golden chain,” Phys. Rev. Lett. 98, 160409 (2007).

[Crossref]

D. C. Mattis, The Many-Body Problem (World Scientific, 1993), pp. 419–472.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).

[Crossref]

D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, “Measurement of the spin-excitation continuum in one-dimensional KCuF3 using neutron scattering,” Phys. Rev. B 52, 13368–13380 (1995).

[Crossref]

D. A. Tennant, T. G. Perring, R. A. Cowley, and S. E. Nagler, “Unbound spinons in the S=1/2 antiferromagnetic chain KCuF3,” Phys. Rev. Lett. 70, 4003–4006 (1993).

[Crossref]

C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. D. Sarma, “Non-Abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80, 1083–1159 (2008).

[Crossref]

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).

[Crossref]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000), pp. 1–607.

J. L. O’ Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

D. A. Tennant, T. G. Perring, R. A. Cowley, and S. E. Nagler, “Unbound spinons in the S=1/2 antiferromagnetic chain KCuF3,” Phys. Rev. Lett. 70, 4003–4006 (1993).

[Crossref]

J. L. O’ Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).

[Crossref]

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).

[Crossref]

J. L. O’ Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).

[Crossref]

X. C. Yao, T. X. Wang, H. Z. Chen, W. B. Gao, A. G. Fowler, R. Raussendorf, Z. B. Chen, N. L. Liu, C. Y. Lu, Y. J. Deng, Y. A. Chen, and J. W. Pan, “Experimental demonstration of topological error correction,” Nature 482, 489–494 (2012).

[Crossref]

Y. A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, “Spin-imbalance in a one-dimensional Fermi gas,” Nature 467, 567–569 (2010).

[Crossref]

E. C. Rowell, Y. Zhang, Y. S. Wu, and M. L. Ge, “Extraspecial two-groups, generalized Yang–Baxter equations and braiding quantum gates,” Quantum Inf. Comput. 10, 685–702 (2010).

J. M. Franko, E. C. Rowell, and Z. Wang, “Extraspecial 2-groups and images of braid group representations,” J. Knot Theory Ramif. 15, 413–427 (2006).

[Crossref]

J. Dubail, J. L. Jacobsen, and H. Saleur, “Exact solution of the anisotropic special transition in the O(n) model in two dimensions,” Phys. Rev. Lett. 103, 145701 (2009).

[Crossref]

C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. D. Sarma, “Non-Abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80, 1083–1159 (2008).

[Crossref]

M. Gerstenhaber and S. D. Schack, “Bialgebra cohomology, deformations, and quantum groups,” Proc. Natl. Acad. Sci. USA 87, 478–481 (1990).

[Crossref]

E. Ardonne and K. Schoutens, “Wavefunctions for topological quantum registers,” Ann. Phys. 322, 201–235 (2007).

[Crossref]

C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. D. Sarma, “Non-Abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80, 1083–1159 (2008).

[Crossref]

C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. D. Sarma, “Non-Abelian anyons and topological quantum computation,” Rev. Mod. Phys. 80, 1083–1159 (2008).

[Crossref]

C. P. Sun, “The differential realization of new solutions for Yang–Baxter equation,” Chin. Sci. Bull. 37, 379 (1992).

H. N. V. Temperley and E. H. Lieb, “Relations between the “percolation” and “colouring” problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the “percolation” problem,” Proc. R. Soc. London Ser. A 322, 251–280 (1971).

[Crossref]

D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, “Measurement of the spin-excitation continuum in one-dimensional KCuF3 using neutron scattering,” Phys. Rev. B 52, 13368–13380 (1995).

[Crossref]

D. A. Tennant, T. G. Perring, R. A. Cowley, and S. E. Nagler, “Unbound spinons in the S=1/2 antiferromagnetic chain KCuF3,” Phys. Rev. Lett. 70, 4003–4006 (1993).

[Crossref]

A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, “Interacting anyons in topological quantum liquids: the golden chain,” Phys. Rev. Lett. 98, 160409 (2007).

[Crossref]

A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, “Interacting anyons in topological quantum liquids: the golden chain,” Phys. Rev. Lett. 98, 160409 (2007).

[Crossref]

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