On the number of representations providing noiseless subsystems
| dc.creator | Ritter, William Gordon | |
| dc.date | 2005-11-16 | |
| dc.date.accessioned | 2026-07-07T06:52:48Z | |
| dc.date.available | 2026-07-07T06:52:48Z | |
| dc.description | This paper studies the combinatoric structure of the set of all representations, up to equivalence, of a finite-dimensional semisimple Lie algebra. This has intrinsic interest as a previously unsolved problem in representation theory, and also has applications to the understanding of quantum decoherence. We prove that for Hilbert spaces of sufficiently high dimension, decoherence-free subspaces exist for almost all representations of the error algebra. For decoherence-free subsystems, we plot the function $f_d(n)$ which is the fraction of all $d$-dimensional quantum systems which preserve $n$ bits of information through DF subsystems, and note that this function fits an inverse beta distribution. The mathematical tools which arise include techniques from classical number theory. | |
| dc.description | 17 pp, 4 figs, accepted for Physical Review A | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0511166 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0511166 | |
| dc.identifier | Phys. Rev. A 72, 062328 (2005) | |
| dc.identifier | doi:10.1103/PhysRevA.72.062328 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105418 | |
| dc.subject | Quantum Physics | |
| dc.title | On the number of representations providing noiseless subsystems | |
| dc.type | text |