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

2008/11/13 by Colin Wilmott, Wilmott, Colin, Peter Wild +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0811.2062

10 pages, 2 figures

arxiv created 2008/11/13 · arxiv updated 2009/12/01

Abstract

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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