Published March 2012
| public
Journal Article
On the degeneracy of SU(3)k topological phases
- Creators
- Jordan, S. P.
- Mansour, T.
- Severini, S.
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.
Additional Information
© 2012 Pleiades Publishing, Ltd.. Received February 11, 2011. S. J. acknowledges support from the Sherman Fairchild Foundation and NSF grant PHY-0803371.Additional details
- Eprint ID
- 30050
- DOI
- 10.1134/S1061920812010037
- Resolver ID
- CaltechAUTHORS:20120410-125549079
- Sherman Fairchild Foundation
- PHY-0803371
- NSF
- Created
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2012-04-11Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field