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The existence of a set of d^2 pairwise equiangular complex lines (equivalently, a SIC-POVM) in d-dimensional Hilbert space is currently known only for a finite set of dimensions d.
Values of L-functions at s = 1 s=1 . I. L-functions for quadratic forms
Harold M. Stark · 1971
Earlier work this paper cites.
Bounds for systems of lines, and Jacobi polynomials
Philippe Delsarte, J. M. Goethals, and J. J. Seidel · 1975
Earlier work this paper cites.
L-functions at s = 1 s=1 . II. Artin L-functions with rational characters
Harold M. Stark · 1975
Earlier work this paper cites.
On Kronecker limit formula for real quadratic fields
Takuro Shintani · 1976
Earlier work this paper cites.
L-functions at s = 1 s=1 . III. Totally real fields and Hilbert’s twelfth problem
Harold M. Stark · 1976
Earlier work this paper cites.
Class fields for real quadratic fields and L L -series at 1
Harold M. Stark · 1977
Earlier work this paper cites.
On certain ray class invariants of real quadratic fields
Takuro Shintani · 1978
Earlier work this paper cites.
L-functions at s = 1 s=1 . IV. First derivatives at s = 0 s=0
Harold M. Stark · 1980
Earlier work this paper cites.
64 lines from a quaternionic polytope
Stuart G. Hoggar · 1998
Earlier work this paper cites.
Quantendesigns: Grundzüge einer nichtkommutativen Designtheorie
Gerhard Zauner · 1999
Earlier work this paper cites.
Stark’s Conjectures: Recent Work and New Directions: An International Conference on Stark’s Conjectures and Related Topics, August 5-9, 2002, Johns Hopkins University
David Burns, Cristian Popescu, Jonathan Sands, David Solomon, et al · 2004
Earlier work this paper cites.
On SIC-POVMs and MUBs in dimension 6
Markus Grassl · 2004
Cited alongside, same era.
Symmetric informationally complete quantum measurements
Joseph M. Renes, Robin Blume-Kohout, Andrew J. Scott, and Carlton M. Caves · 2004
Cited alongside, same era.
Symmetric infomationally complete-positive operator valued measures and the extended Clifford group
D. Marcus Appleby · 2005
Cited alongside, same era.
Tomography of quantum states in small dimensions
Markus Grassl · 2005
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Computing equiangular lines in complex space
Markus Grassl · 2008
Cited alongside, same era.
Symmetric informationally complete positive-operator-valued measures: A new computer study
Andrew J. Scott and Markus Grassl · 2010
Cited alongside, same era.
Systems of imprimitivity for the Clifford group
D. Marcus Appleby, Ingemar Bengtsson, Stephen Brierley, Åsa Ericsson, Markus Grassl, and Jan-Åke Larsson · 2014
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General SIC measurement-based entanglement detection
Bin Chen, Tao Li, and Shao-Ming Fei · 2015
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Generating ray class fields of real quadratic fields via complex equiangular lines
Marcus Appleby, Steven Flammia, Gary McConnell, and Jon Yard · 2016
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Informational power of the Hoggar symmetric informationally complete positive operator-valued measure
Anna Szymusiak and Wojciech Słomczyński · 2016
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SICs and algebraic number theory
Marcus Appleby, Steven Flammia, Gary McConnell, and Jon Yard · 2017
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SIC POVMs and Clifford groups in prime dimensions
Huangjun Zhu · 2010
Cited alongside, same era.
Quantum designs: Foundations of a noncommutative design theory
Gerhard Zauner · 2011
Cited alongside, same era.
The monomial representations of the Clifford group
D. Marcus Appleby, Ingemar Bengtsson, Stephen Brierley, Markus Grassl, David Gross, and Jan-Åke Larsson · 2012
Cited alongside, same era.
Quantum-Bayesian coherence
Christopher A. Fuchs and Rüdiger Schack · 2013
Cited alongside, same era.
Algebraic Number Theory
Jürgen Neukirch · 2013
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Christopher A. Fuchs, Michael C. Hoang, and Blake C. Stacey · 2017
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Indefinite Theta Functions and Zeta Functions
Gene S. Kopp · 2017
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SICs: Extending the list of solutions
Andrew J. Scott · 2017
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Andrew J. Scott and Markus Grassl · 2017
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Constructing exact symmetric informationally complete measurements from numerical solutions
Marcus Appleby, Tuan-Yow Chien, Steven Flammia, and Shayne Waldron · 2018
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Personal correpondence, July 2018
Markus Grassl · 2018
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