Abstract
The d-level or qudit one-way quantum computer (d1WQC) is described using the valence bond solid formalism and the generalized Pauli group. This formalism provides a transparent means of deriving measurement patterns for the implementation of quantum gates in the computational model. We introduce a new universal set of qudit gates and use it to give a constructive proof of the universality of d1WQC. We characterize the set of gates that can be performed in one parallel time step in this model.
| Translated title of the contribution | Valence bond solid formalism for d-level one-way quantum computation |
|---|---|
| Original language | English |
| Pages (from-to) | 2701 - 2721 |
| Number of pages | 20 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Publication status | Published - Mar 2006 |