# 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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Cited literature [18 references]

http://hal.in2p3.fr/in2p3-00747123
Contributor : Maurice Robert Kibler <>
Submitted on : Monday, May 6, 2013 - 6:21:33 PM
Last modification on : Tuesday, September 1, 2020 - 4:17:46 PM
Long-term archiving on: : Monday, August 19, 2013 - 3:40:24 PM

### Files

Kibler_version_2.pdf
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### Identifiers

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

### Citation

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

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