English

On Deriving a Basis for the Vector Space of Bounded Qudit Error Operators over $C^d$

Quantum Physics 2008-11-14 v1

Abstract

We derive a basis for the vector space of bounded operators acting on a dd-dimensional system Hilbert space CdC^d. In the context of quantum computation the basis elements are identified as the generalised Pauli matrices - the error generators. As an application, we show how such matrices are used in the teleportation a single qudit.

Keywords

Cite

@article{arxiv.0811.2062,
  title  = {On Deriving a Basis for the Vector Space of Bounded Qudit Error Operators over $C^d$},
  author = {Colin Wilmott and Peter Wild},
  journal= {arXiv preprint arXiv:0811.2062},
  year   = {2008}
}

Comments

10 pages, 2 figures

R2 v1 2026-06-21T11:41:05.148Z