Implementing high dimensional unitary representations of SU(2) on a Quantum Computer
| dc.creator | Zalka, Christof | |
| dc.date | 2004-07-18 | |
| dc.date.accessioned | 2026-07-07T06:10:21Z | |
| dc.date.available | 2026-07-07T06:10:21Z | |
| dc.description | In this note we consider a system with a large angular momentum l whose state we can store using some log_2(l) qubits. The problem then is how to carry out spatial rotations of the system in this representation. In other words we are looking at a unitary representation of SU(2) with dimension 2l+1 and want to implement these transformations with resources polynomial in log(l). We only give a sketch of our solution which involves ``storing'' discretised spherical harmonic functions Y_{l,m}(Theta,phi) in a quantum register. Also there are some technical gaps in the construction, but they are based on plausible assumptions. Our approach is rather cumbersome and we hope somebody will find a nicer solution. For a nice, elementary explanation of what we are trying to do (not involving physics or representation theory) see section 4.6.2. | |
| dc.description | 8 pages LaTeX | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0407140 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0407140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92236 | |
| dc.subject | Quantum Physics | |
| dc.title | Implementing high dimensional unitary representations of SU(2) on a Quantum Computer | |
| dc.type | text |