A primer of group theory for loop quantum gravity and spin-foams
P Martin-Dussaud - General Relativity and Gravitation, 2019 - Springer
Abstract Calculations in Loop Quantum Gravity (LQG) and spin-foams theory rely heavily on
group theory of SU (2) and SL_ 2 (C) SL 2 (C). Even though many monographs exist …
group theory of SU (2) and SL_ 2 (C) SL 2 (C). Even though many monographs exist …
All you need is spin: SU (2) equivariant variational quantum circuits based on spin networks
Variational algorithms require architectures that naturally constrain the optimisation space to
run efficiently. In geometric quantum machine learning, one achieves this by encoding group …
run efficiently. In geometric quantum machine learning, one achieves this by encoding group …
Circuit extraction for ZX-diagrams can be# P-hard
N de Beaudrap, A Kissinger… - arXiv preprint arXiv …, 2022 - arxiv.org
The ZX-calculus is a graphical language for reasoning about quantum computation using ZX-
diagrams, a certain flexible generalisation of quantum circuits that can be used to represent …
diagrams, a certain flexible generalisation of quantum circuits that can be used to represent …
A graphical# sat algorithm for formulae with small clause density
T Laakkonen, K Meichanetzidis… - arXiv preprint arXiv …, 2022 - arxiv.org
We study the counting version of the Boolean satisfiability problem# SAT using the ZH-
calculus, a graphical language originally introduced to reason about quantum circuits. Using …
calculus, a graphical language originally introduced to reason about quantum circuits. Using …
Simple ZX and ZH calculi for arbitrary finite dimensions, via discrete integrals
N de Beaudrap, RDP East - arXiv preprint arXiv:2304.03310, 2023 - arxiv.org
The ZX calculus and the ZH calculus use diagrams to denote and to compute properties of
quantum operations, and other multi-linear operators described by tensor networks. These …
quantum operations, and other multi-linear operators described by tensor networks. These …