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For an anyon model in two spatial dimensions described by a modular tensor category, the topological S-matrix encodes the mutual braiding statistics, the quantum dimensions, and the fusion rules of anyons.
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Lectures on Tensor Categories and Modular Functors , vol. 21 of University Lecture Series (American Mathematical Society, 2001)
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Etingof, P., Nikshych, D. & Ostrik, V · 2005
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Topological entanglement entropy
Kitaev, A. & Preskill, J · 2006
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Detecting topological order in a ground state wave function
Levin, M. & Wen, X.-G · 2006
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Anyons in an exactly solved model and beyond
Kitaev, A · 2006
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Lieb-robinson bounds and the generation of correlations and topological quantum order
Bravyi, S., Hastings, M. B. & Verstraete, F · 2006
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Eisert, J. & Osborne, T. J · 2006
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Simulating adiabatic evolution of gapped spin systems
Osborne, T. J · 2007
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Models for gapped boundaries and domain walls
Kitaev, A. & Kong, L · 2011
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A short proof of stability of topological order under local perturbations
Bravyi, S. & Hastings, M. B · 2011
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Quasiparticle statistics and braiding from ground-state entanglement
Zhang, Y., Grover, T., Turner, A., Oshikawa, M. & Vishwanath, A · 2012
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Nature of the spin-liquid ground state of the S=1/2 Heisenberg model on the kagome lattice
Depenbrock, S., McCulloch, I. P. & Schollwöck, U · 2012
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Jiang, H.-C., Wang, Z. & Balents, L · 2012
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Perturbative analysis of topological entanglement entropy from conditional independence
Kim, I. H · 2012
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Naidu, D · 2007
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Flammia, S. T., Hamma, A., Hughes, T. L. & Wen, X.-G · 2009
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Bravyi, S., Hastings, M. & Michalakis, S · 2010
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S. Bravyi, private communication
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Stability of frustration-free hamiltonians
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