On the degeneracy of SU(3)k topological phases |
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| Authors: | S. P. Jordan T. Mansour S. Severini |
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| Affiliation: | 1.Institute for Quantum Information,California Institute of Technology,Pasadena,USA;2.Department of Mathematics,University of Haifa,Haifa,Israel;3.Department of Physics and Astronomy,University College London,London,UK |
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| Abstract: | The ground state degeneracy of an SU(N) k topological phase with n quasiparticle excitations is a relevant quantity for quantum computation, condensed matter physics, and knot theory. It is an open question to find a closed formula for this degeneracy for any N >2. Here we present the problem in an explicit combinatorial way and analyze the case N = 3. While not finding a complete closed-form solution, we obtain generating functions and solve some special cases. |
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