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 …

Experimental realization of quantum tomography of photonic qudits via symmetric informationally complete positive operator-valued measures

N Bent, H Qassim, AA Tahir, D Sych, G Leuchs… - Physical Review X, 2015 - APS
Symmetric informationally complete positive operator-valued measures provide efficient
quantum state tomography in any finite dimension. In this work, we implement state …

Constructing exact symmetric informationally complete measurements from numerical solutions

M Appleby, TY Chien, S Flammia… - Journal of Physics A …, 2018 - iopscience.iop.org
Recently, several intriguing conjectures have been proposed connecting symmetric
informationally complete quantum measurements (SIC POVMs, or SICs) and algebraic …

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 …

QBism, Where Next?

CA Fuchs - Phenomenology and QBism, 2023 - taylorfrancis.com
This chapter expresses what a breath of fresh air it has been since a few phenomenological
philosophers have started to engage with QBism. In service of the newfound discussion, the …

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 …

Experimental characterization of qutrits using symmetric informationally complete positive operator-valued measurements

ZED Medendorp, FA Torres-Ruiz, LK Shalm… - Physical Review A …, 2011 - APS
Generalized quantum measurements [also known as positive operator-valued measures
(POVMs)] are of great importance in quantum information and quantum foundations but are …

Symmetric informationally complete measurements identify the irreducible difference between classical and quantum systems

JB DeBrota, CA Fuchs, BC Stacey - Physical Review Research, 2020 - APS
We describe a general procedure for associating a minimal informationally complete
quantum measurement with a purely probabilistic representation of the Born rule. Such …

Group theoretic, Lie algebraic and Jordan algebraic formulations of the SIC existence problem

DM Appleby, CA Fuchs, H Zhu - arxiv preprint arxiv:1312.0555, 2013 - arxiv.org
Although symmetric informationally complete positive operator valued measures (SIC
POVMs, or SICs for short) have been constructed in every dimension up to 67, a general …

[PDF][PDF] Quantum state estimation and symmetric informationally complete POMs

Z Huangjun - 2012 - core.ac.uk
Quantum state estimation is a procedure for inferring the state of a quantum system from
generalized measurements, known as probability operator measurements (POMs). It is a …