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

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

2008-11-13

arxiv.org/abs/0811.2062v1

Physics

Quantum Physics

10 pages, 2 figures

Scientific paper

We derive a basis for the vector space of bounded operators acting on a
$d$-dimensional system Hilbert space $C^d$. 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.

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