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We exhibit an infinite family of {\it triplets} of mutually unbiased bases (MUBs) in dimension 6.
Unitary Operator Bases
J. Schwinger · 1960
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Bounds for packings on a sphere and in space
G. A. Kabatiansky & V. I. Levenshtein · 1978
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Geometrical description of quantal state determination
I. D. Ivanovic · 1981
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Optimal state-determination by mutually unbiased measurements
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W. Tadej & K. Życzkowski · 2006
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Mutually unbiased bases and Hadamard matrices of order six
I. Bengtsson, W. Bruzda, Å. Ericsson, J.-A. Larsson, W. Tadej & K. Życzkowski · 2007
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Numerical evidence for the maximum number of mutually unbiased bases in dimension six
P. Butterley & W. Hall · 2007
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The mutually unbiased bases revisited
M. Combescure · 2007
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Orthogonal maximal Abelian ∗ \ast -subalgebras of the 6 × 6 6\times 6 matrices
K. Beauchamp & R. Nicoara · 2008
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M. Grassl · 2004
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Constructions of Mutually Unbiased Bases
A. Klappenecker & M. Rötteler · 2004
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Equiangular spherical codes in quantum cryptography
J. M. Renes · 2005
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The discrete Pauli problem
A. Bonami & J.-B. Poly
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Maximal sets of mutually unbiased quantum states in dimension six
S. Brierley & S. Weigert
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Circulant matrices, Gauss sums and mutually unbiased bases I. The prime number case
M. Combescure
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Towards a classification of 6x6 complex Hadamard matrices
M. Matolcsi, F. Szöllősi · 2008
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Unbiased bases (Hadamards) for 6-level systems: Four ways from Fourier
A. J. Skinner, V. A. Newell, R. Sanchez · 2008
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Constructing Mutually Unbiased Bases in Dimension Six
S. Brierley & S. Weigert · 2009
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