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2017

SICs: Extending the list of solutions

Scott, A. J.

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Zauner's conjecture asserts that $d^2$ equiangular lines exist in all $d$ complex dimensions.

In quantum theory, the $d^2$ lines are dubbed a SIC, as they define a favoured standard informationally complete quantum measurement called a SIC-POVM.
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J. M. Renes, R. Blume-Kohout, A. J. Scott and C. M. Caves, Symmetric informationally complete quantum measurements, arXiv:quant-ph/0310075; J. Math. Phys. 45
2004
Earlier work this paper cites.
D. M. Appleby, SIC-POVMs and the extended Clifford group, arXiv:quant-ph/0412001; J. Math. Phys. 46
2005
Earlier work this paper cites.

Similar

A. J. Scott and M. Grassl, SIC-POVMs: A new computer study, arXiv:0910.5784; J. Math. Phys. 51
Original
2010
Cited alongside, same era.
G. Zauner, Quantendesigns – Grundzüge einer nichtkommutativen Designtheorie (in German), Ph.D. thesis (University of Vienna, 1999); english translation: Quantum designs: foundations of a noncommutative design theory, Int. J. Quantum Inform. 09
2011
Cited alongside, same era.
M. Appleby, S. Flammia, G. McConnell and J. Yard, Generating ray class fields of real quadratic fields via complex equiangular lines, arXiv:1604.06098
Original
Cited in the paper.
M. Appleby, S. Flammia, G. McConnell and J. Yard, SICs and algebraic number theory, arXiv:1701.05200
Original
Cited in the paper.
I. Bengtsson, The number behind the simplest SIC-POVM, arXiv:1611.09087
Original
Cited in the paper.

Then

D. M. Appleby, H. Yadsan-Appleby and G. Zauner, Galois automorphisms of a symmetric measurement, arXiv:1209.1813; Quantum Inf. Comput. 13
Original
2013
Later among the works it cites.

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