Five open problems in quantum information theory

P Horodecki, Ł Rudnicki, K Życzkowski - PRX Quantum, 2022 - APS
We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, are well studied in the literature, but are technically not easy. As …

SIC-POVMs from Stark Units: Dimensions n^ 2+ 3= 4p, p prime

I Bengtsson, M Grassl, G McConnell - ar** measurements in qutrit systems
Y Zhao, Z Guo, L Feng, S Luo, TL Lee - Physics Letters A, 2024 - Elsevier
Overlap between quantum states or observables is a fundamental quantity in quantum
theory. Equioverlap** measurements arise naturally when considering quantum …

A Constructive Approach to Zauner's Conjecture via the Stark Conjectures

M Appleby, ST Flammia, GS Kopp - ar** measurements
L Feng, S Luo - Physics Letters A, 2022 - Elsevier
An equioverlap** measurement is a rank-one POVM with the same overlap between any
pair of its measurement operators. A symmetric informationally complete POVM (SIC-POVM) …

SIC-POVMs from Stark units: Prime dimensions n2+ 3

M Appleby, I Bengtsson, M Grassl, M Harrison… - Journal of …, 2022 - pubs.aip.org
We propose a recipe for constructing a fiducial vector for a symmetric informationally
complete positive operator valued measure (SICPOVM) in a complex Hilbert space of …

Generating ray class fields of real quadratic fields via complex equiangular lines

M Appleby, S Flammia, G McConnell, J Yard - arxiv preprint arxiv …, 2016 - arxiv.org
For certain real quadratic fields $ K $ with sufficiently small discriminant we produce explicit
unit generators for specific ray class fields of $ K $ using a numerical method that arose in …

FAQBism

JB DeBrota, BC Stacey - arxiv preprint arxiv:1810.13401, 2018 - arxiv.org
FAQBism arxiv:1810.13401v2 [quant-ph] 14 Apr 2019 Page 1 FAQBism John B. DeBrota †⋆
and Blake C. Stacey † † Department of Physics, University of Massachusetts Boston, 100 …

Five open problems in quantum information

P Horodecki, Ł Rudnicki, K Życzkowski - arxiv preprint arxiv:2002.03233, 2020 - arxiv.org
We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, were well-studied in the literature, but are technically not easy. As …