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Preprints, Working Papers, ... Year : 2012

On mutually unbiased bases: Passing from $d$ to $d^2$

Abstract

We show how to transform the problem of finding d+1 mutually unbiased bases in the d-dimensional Hilbert space into the one of finding d(d+1) vectors in the N-dimensional Hilbert space with N=d**2. The transformation formulas admit a solution when d is a prime number.
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Dates and versions

in2p3-00747123 , version 1 (30-10-2012)
in2p3-00747123 , version 2 (06-05-2013)

Identifiers

  • HAL Id : in2p3-00747123 , version 2
  • ARXIV : 1210.8173

Cite

Maurice Robert Kibler. On mutually unbiased bases: Passing from $d$ to $d^2$. 2013. ⟨in2p3-00747123v2⟩
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