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Symmetric Informationally Complete Positive Operator Valued Measures (usually referred to as SIC-POVMs or simply as SICS) have been constructed in every dimension up to 67.
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A. J. Scott and M. Grassl (2010), SIC-POVMs: a New Computer study , J. Math. Phys., 51
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H. Zhu, Y. S. Teo and B. G. Englert (2010), Two-Qubit Symmetric Informationally Complete Positive Operator Valued Measures , Phys. Rev. A, 82
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L. Hughston, d=3 SIC-POVMs and Elliptic Curves , Perimeter Institute, Seminar Talk October 2007. Available online at http://pirsa.org/07100040/
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S. N. Filippov and V. I. Man’ko (2011), Symmetric Informationally Complete Positive Operator Valued Measure and Probability Representation of Quantum Mechanics , J. Russian Laser Research, 31
2011
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D. M. Appleby, S. T. Flammia and C. A. Fuchs (2011), The Lie Algebraic Significance of Symmetric Informationally Complete Measurements , J. Math. Phys., 52
2011
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H. Zhu and B.-G. Englert (2011), Quantum State Tomography with Fully Symmetric Measurements and Product Measurements , Phys. Rev. A, 84
2011
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O. Oreshkov, J. Calsamiglia, R. Muñoz-Tapia and E. Bagan (2011), Optimal Signal States for Quantum Detectors , New J. Phys., 13
2011
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2011
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D. M. Appleby, Å. Ericsson and C. A. Fuchs (2011), Properties of QBist State Spaces , Found. Phys., 41
2011
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Z. E. D. Medendorp, F. A. Torres-Ruiz, L. K. Shalm, G. N. M. Tabia, C. A. Fuchs and A. M. Steinberg (2011), Experimental Characterization of Qutrits Using SIC-POVMs , Phys. Rev. A, 83
2011
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D.M. Appleby, I. Bengtsson, S. Brierley, M. Grassl, D. Gross and J.-Å-Larsson (2012), The Monomial Representations of the Clifford Group , Quantum Inf. Comput., 12
2012
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2012
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2012
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I. Bengtsson (2011), From SICs and MUBs to Eddington , arXiv:1103.2030
2030
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