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We propose a construction of $d^2$ complex equiangular lines in $\mathbb{C}^d$, also known as SICPOVMs, conjectured by Zauner to exist for all d.
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Symmetric informationally complete quantum measurements
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The SIC question: History and state of play
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SICs: Extending the list of solutions, 2017
A. J. Scott · 2017
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Constructing exact symmetric informationally complete measurements from numerical solutions
M. Appleby, T.-Y. Chien, S. T. Flammia, and S. Waldron · 2018
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Volume Conjecture for Knots
H. Murakami and Y. Yokota · 2018
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Enhanced entanglement criterion via symmetric informationally complete measurements
J. Shang, A. Asadian, H. Zhu, and O. Gühne · 2018
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An Introduction to Finite Tight Frames
S. F. D. Waldron · 2018
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A. J. Scott · 2006
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Symmetric informationally complete measurements of arbitrary rank
D. M. Appleby · 2007
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Binary Quadratic Forms: An Algorithmic Approach
J. Buchmann and U. Vollmer · 2007
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On the entropy of Japanese continued fractions
L. Luzzi and S. Marmi · 2007
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The geometry of continued fractions and the topology of surface singularities
P. Popescu-Pampu · 2007
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Continued fractions, special values of the double sine function, and Stark units over real quadratic fields
B. A. Tangedal · 2007
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Aligned SICs and embedded tight frames in even dimensions
O. Andersson and I. Dumitru · 2019
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Tight frames, Hadamard matrices, and Zauner’s conjecture
M. Appleby, I. Bengtsson, S. Flammia, and D. Goyeneche · 2019
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SICs and the elements of canonical order 3 in the Clifford group
L. Bos and S. Waldron · 2019
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Three-dimensional 𝒩 = 2 \mathcal{N}=2 supersymmetric gauge theories and partition functions on Seifert manifolds: A review
C. Closset and H. Kim · 2019
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Generating ray class fields of real quadratic fields via complex equiangular lines
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Symmetric informationally complete measurements identify the irreducible difference between classical and quantum
J. B. DeBrota, C. A. Fuchs, and B. C. Stacey · 2020
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The numerics of phase retrieval
A. Fannjiang and T. Strohmer · 2020
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Compounds of symmetric informationally complete measurements and their application in quantum key distribution
A. Tavakoli, I. Bengtsson, N. Gisin, and J. M. Renes · 2020
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Resurgence of Faddeev’s quantum dilogarithm
S. Garoufalidis and R. Kashaev · 2021
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Computing SIC-POVMs using permutation symmetries and Stark units, 26 October 2021
M. Grassl · 2021
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Computing numerical and exact SIC-POVMs, 29 March 2021
M. Grassl · 2021
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Constructing subspace packings from other packings
E. J. King · 2021
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SIC-POVMs and the Stark conjectures
G. S. Kopp · 2021
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A First Course in the Sporadic SICs
B. C. Stacey · 2021
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Personal correspondence
F. Thorne, 2021 · 2021
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SIC-POVMs from Stark units: Prime dimensions n 2 + 3 n^{2}+3
M. Appleby, I. Bengtsson, M. Grassl, M. Harrison, and G. McConnell · 2022
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Dimension towers of SICs: II. some constructions
I. Bengtsson and B. Srivastava · 2022
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Detecting magic states via characteristic functions
H. Dai, S. Fu, and S. Luo · 2022
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From stabilizer states to SIC-POVM fiducial states
L. Feng and S. Luo · 2022
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Five open problems in quantum information
P. Horodecki, Ł. Rudnicki, and K. Życzkowski · 2022
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Ray class groups and ray class fields for orders of number fields, 2022
G. S. Kopp and J. C. Lagarias · 2022
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Quantum dilogarithms over local fields and invariants of 3-manifolds, 2023
S. Garoufalidis and R. Kashaev · 2023
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SIC-POVMs from Stark units: Dimensions n 2 + 3 = 4 p n^{2}+3=4p , p p prime, 2024, 2403.02872
I. Bengtsson, M. Grassl, and G. McConnell · 2024
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Error approximation for backwards and simple continued fractions
C. Bjorklund and M. Litman · 2024
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Quantum states with maximal magic, 2024
G. Cuffaro and C. A. Fuchs · 2024
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Zauner.jl
S. T. Flammia · 2024
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The Shintani–Faddeev modular cocycle: Stark units from q q -Pochhammer ratios, 2024
G. S. Kopp · 2024
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SICs and orders of real quadratic fields, 2024
G. S. Kopp and J. C. Lagarias · 2024
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Personal correspondence
J. Wang, 2024 · 2024
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Ghost SICs and the Wigner function, 2025
M. Appleby, S. Flammia, and G. Kopp · 2025
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Representations of Galois groups of SICs, 2025
M. Appleby, S. T. Flammia, and G. S. Kopp · 2025
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Ray class monoids for orders of number fields, 2025
G. S. Kopp and J. C. Lagarias · 2025
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