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In this thesis we study symmetric structures in Hilbert spaces known as symmetric informationally complete positive operator-valued measures (SIC-POVMs), mutually unbiased bases (MUBs), and MUB-balanced states.
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“Linear Independence of Gabor Systems in Finite Dimensional Vector Spaces”
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“SIC POVMs and Clifford groups in prime dimensions”
Huangjun Zhu · 2010
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“Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics”
Sergey˜N. Filippov and Vladimir˜I. Man’ko · 2010
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“Two-qubit symmetric informationally complete positive-operator-valued measures”
H. Zhu, Y.˜S. Teo and B.-G. Englert · 2010
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“Mutually unbiased bases and semi-definite programming”
S. Brierley and S. Weigert · 2010
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“The Lie algebraic significance of symmetric informationally complete measurements”
D.˜M. Appleby, S.˜T. Flammia and C.˜A. Fuchs · 2011
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“A Kochen-Specker inequality from a SIC”
I. Bengtsson, K. Blanchfield and A. Cabello · 2011
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“Experimental characterization of qutrits using symmetric informationally complete positive operator-valued measurements”
Z.˜E.˜D. Medendorp, F.˜A. Torres-Ruiz, L.˜K. Shalm, G.˜N.˜M. Tabia, C.˜A. Fuchs and A.˜M. Steinberg · 2011
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