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The connection between maximal sets of mutually unbiased bases (MUBs) in a prime-power dimensional Hilbert space and finite phase-space geometries is well known.
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Optimal state-determination by mutually unbiased measurements,
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The limitations of nice mutually unbiased bases,
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Quantum systems with finite Hilbert space: Galois fields in quantum mechanics,
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Group theoretical construction of mutually unbiased bases in Hilbert spaces of prime dimensions,
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Discrete phase space and minimum-uncertainty states,
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The geometric Weil representation,
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Spectra of phase point operators in odd prime dimensions and the extended Clifford group,
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Variations on a theme of Schwinger and Weyl,
V.S. Varadarajan, · 1995
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Group representations, error bases and quantum codes,
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Phase space methods for finite quantum systems,
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Finite approximation of Weyl systems,
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A new proof for the existence of mutually unbiased bases,
S. Bandyopadhyay, P.O. Boykin, V. Roychowdhury and F. Vatan, · 2002
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An explicit construction of the metaplectic representation over a finite field,
M. Neuhauser, · 2002
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D.M. Appleby, I. Bengtsson and S. Chaturvedi, · 2008
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Harmonic analysis on a Galois field and its subfields,
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The finite harmonic oscillator and its associated sequences,
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The finite harmonic oscillator and its applications to sequences, communication, and radar,
S. Gurevich, R. Hadani and N. Sochen, · 2008
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Quantum homodyne tomography as an informationally complete positive-operator-valued measure,
P. Albini, E. De Vito and A. Toigo, · 2009
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Properties of the extended Clifford group with applications to SIC-POVMs and MUBs,
D.M. Appleby, · 2009
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On mutually unbiased bases,
T. Durt, B.-G. Englert, I. Bengtsson and K. Yczkowski, · 2010
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On the complementarity of the quadrature observables,
P. Lahti and J.-P. Pellonpää, · 2010
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Tomographically complete sets of orthonormal bases in finite systems,
M. Shalaby and A. Vourdas, · 2011
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MUBs inequivalence and affine planes,
W.M. Kantor, · 2012
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The Weil representation in characteristic two,
S. Gurevich and R. Hadani, · 2012
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Informationally complete sets of Gaussian measurements,
J. Kiukas and J. Schultz, · 2013
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Nonuniqueness of phase retrieval for three fractional Fourier transforms,
C. Carmeli, T. Heinosaari, J. Schultz and A. Toigo, · 2014
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Symmetric Informationally-Complete Quantum States as Analogues to Orthonormal Bases and Minimum-Uncertainty States,
D.M. Appleby, H.B. Dang and C.A. Fuchs, · 2014
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Permutation symmetry determines the discrete Wigner function,
H. Zhu, · 2015
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