Aspects of mutually unbiased bases in odd prime power dimensions

Details Aspects of mutually unbiased bases in odd prime power dimensions Aspects of mutually unbiased bases in odd prime power dimensions

2001-09-02

arxiv.org/abs/quant-ph/0109003v1

Phys. Rev. A 65, art.no. 044301, 1-3 (2002).

Physics

Quantum Physics

3 pages, latex, no figures

Scientific paper

10.1103/PhysRevA.65.044301

We rephrase the Wootters-Fields construction [Ann. Phys., {\bf 191}, 363
(1989)] of a full set of mutually unbiased bases in a complex vector space of
dimensions $N=p^r$, where $p$ is an odd prime, in terms of the character
vectors of the cyclic group $G$ of order $p$. This form may be useful in
explicitly writing down mutually unbiased bases for $N=p^r$.

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