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arxiv: 1210.8173 · v2 · pith:WUOUUX5Inew · submitted 2012-10-30 · 🪐 quant-ph · math-ph· math.MP

On mutually unbiased bases: Passing from d to d**2

classification 🪐 quant-ph math-phmath.MP
keywords basesfindinghilbertmutuallyspaceunbiasedadmitd-dimensional
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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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