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 …
complete (SIC) quantum measurements, also known as maximal sets of complex …
Introducing the Qplex: a novel arena for quantum theory
We reconstruct quantum theory starting from the premise that, as Asher Peres remarked,“
Unperformed experiments have no results.” The tools of quantum information theory, and in …
Unperformed experiments have no results.” The tools of quantum information theory, and in …
[图书][B] An introduction to finite tight frames
SFD Waldron - 2018 - Springer
This book gives a unified introduction to the rapidly developing area of finite tight frames.
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …
QBism: Quantum theory as a hero's handbook
CA Fuchs, BC Stacey - Foundations of quantum theory, 2019 - ebooks.iospress.nl
This article situates QBism among other well-known interpretations of quantum mechanics.
QBism has its roots in personalist Bayesian probability theory, is crucially dependent upon …
QBism has its roots in personalist Bayesian probability theory, is crucially dependent upon …
Constructing exact symmetric informationally complete measurements from numerical solutions
Recently, several intriguing conjectures have been proposed connecting symmetric
informationally complete quantum measurements (SIC POVMs, or SICs) and algebraic …
informationally complete quantum measurements (SIC POVMs, or SICs) and algebraic …
SICs and algebraic number theory
We give an overview of some remarkable connections between symmetric informationally
complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a …
complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a …
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 …
quantum measurement with a purely probabilistic representation of the Born rule. Such …
Linking entanglement detection and state tomography via quantum 2-designs
We present an experimentally feasible and efficient method for detecting entangled states
with measurements that extend naturally to a tomographically complete set. Our detection …
with measurements that extend naturally to a tomographically complete set. Our detection …
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 …
and Blake C. Stacey † † Department of Physics, University of Massachusetts Boston, 100 …
Character varieties and algebraic surfaces for the topology of quantum computing
It is shown that the representation theory of some finitely presented groups thanks to their SL
2 (C) character variety is related to algebraic surfaces. We make use of the Enriques …
2 (C) character variety is related to algebraic surfaces. We make use of the Enriques …