The SIC question: History and state of play

CA Fuchs, MC Hoang, BC Stacey - Axioms, 2017 - mdpi.com
Recent years have seen significant advances in the study of symmetric informationally
complete (SIC) quantum measurements, also known as maximal sets of complex …

Generalized quantum measurements on a higher-dimensional system via quantum walks

X Wang, X Zhan, Y Li, L Xiao, G Zhu, D Qu, Q Lin… - Physical Review Letters, 2023 - APS
Quantum measurements play a fundamental role in quantum mechanics. Especially,
generalized quantum measurements provide a powerful and versatile tool to extract …

Generation and confirmation of a (100× 100)-dimensional entangled quantum system

M Krenn, M Huber, R Fickler… - Proceedings of the …, 2014 - National Acad Sciences
Entangled quantum systems have properties that have fundamentally overthrown the
classical worldview. Increasing the complexity of entangled states by expanding their …

Two-measurement tomography of high-dimensional orbital angular momentum entanglement

Y Li, SY Huang, M Wang, C Tu, XL Wang, Y Li… - Physical Review Letters, 2023 - APS
High-dimensional (HD) entanglement enables an encoding of more bits than in the two-
dimensional case and promises to increase communication capacity over quantum …

Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments

A Tavakoli, M Farkas, D Rosset, JD Bancal… - Science …, 2021 - science.org
Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …

Certification of a non-projective qudit measurement using multiport beamsplitters

D Martínez, ES Gómez, J Cariñe, L Pereira, A Delgado… - Nature Physics, 2023 - nature.com
The most common form of measurement in quantum mechanics projects a wavefunction
onto orthogonal states that correspond to definite outcomes. However, generalized quantum …

Efficiency of photonic state tomography affected by fiber attenuation

A Czerwinski, J Szlachetka - Physical Review A, 2022 - APS
In this article, we investigate the efficiency of photonic state tomography in the presence of
fiber attenuation. The theoretical formalism of the photon loss is provided by implementing …

SICs and algebraic number theory

M Appleby, S Flammia, G McConnell, J Yard - Foundations of Physics, 2017 - Springer
We give an overview of some remarkable connections between symmetric informationally
complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a …

Enabling computation of correlation bounds for finite-dimensional quantum systems via symmetrization

A Tavakoli, D Rosset, MO Renou - Physical review letters, 2019 - APS
We present a technique for reducing the computational requirements by several orders of
magnitude in the evaluation of semidefinite relaxations for bounding the set of quantum …

What are the minimal conditions required to define a symmetric informationally complete generalized measurement?

IJ Geng, K Golubeva, G Gour - Physical Review Letters, 2021 - APS
Symmetric informationally complete (SIC) positive operator valued measures (POVMs) are a
class of quantum measurements which, in addition to being informationally complete, satisfy …