Published March 2015
| Submitted
Journal Article
Open
Quantum Computation and Real Multiplication
- Creators
-
Marcolli, Matilde
- Napp, John
Abstract
We propose a construction of anyon systems associated to quantum tori with real multiplication and the embedding of quantum tori in AF algebras. These systems generalize the Fibonacci anyons, with weaker categorical properties, and are obtained from the basic modules and the real multiplication structure.
Additional Information
© 2014 Springer Basel. Received: 11 January 2014; Revised: 28 March 2014; Accepted: 2 April 2014; Published online: 24 April 2014. J. Napp is supported by a Summer Undergraduate Research Fellowship at Caltech. M. Marcolli is supported by NSF grants DMS-0901221, DMS-1007207, DMS-1201512, PHY-1205440.Attached Files
Submitted - 1312.3590v1.pdf
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Additional details
- Eprint ID
- 62751
- DOI
- 10.1007/s11786-014-0179-8
- Resolver ID
- CaltechAUTHORS:20151209-134217011
- Caltech Summer Undergraduate Research Fellowship (SURF)
- DMS-0901221
- NSF
- DMS-1007207
- NSF
- DMS-1201512
- NSF
- PHY-1205440
- NSF
- Created
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2015-12-09Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field