How to sum and exponentiate Hamiltonians in ZXW calculus

RA Shaikh, Q Wang, R Yeung - arXiv preprint arXiv:2212.04462, 2022 - arxiv.org
This paper develops practical summation techniques in ZXW calculus to reason about
quantum dynamics, such as unitary time evolution. First we give a direct representation of a …

Quantum picturalism: learning quantum theory in high school

S Dündar-Coecke, L Yeh, C Puca… - 2023 IEEE …, 2023 - ieeexplore.ieee.org
Quantum theory is often regarded as challenging to learn and teach, with advanced
mathematical prerequisites ranging from complex numbers and probability theory to matrix …

Kindergarden quantum mechanics graduates... or how I learned to stop gluing LEGO together and love the ZX-calculus

B Coecke, D Horsman, A Kissinger, Q Wang - Theoretical Computer …, 2022 - Elsevier
This paper is a 'spiritual child'of the 2005 lecture notes Kindergarten Quantum Mechanics
Coecke (2005)[24], which showed how a simple, pictorial extension of Dirac notation …

Categorical semantics for Feynman diagrams

RA Shaikh, S Gogioso - arXiv preprint arXiv:2205.00466, 2022 - arxiv.org
We introduce a novel compositional description of Feynman diagrams, with well-defined
categorical semantics as morphisms in a dagger-compact category. Our chosen setting is …

Time symmetry in quantum theories and beyond

JH Selby, ME Stasinou, S Gogioso… - arXiv preprint arXiv …, 2022 - arxiv.org
There is a stark tension among different formulations of quantum theory in that some are
fundamentally time-symmetric and others are radically time-asymmetric. This tension is …

The Focked-up ZX Calculus: Picturing Continuous-Variable Quantum Computation

RA Shaikh, L Yeh, S Gogioso - arXiv preprint arXiv:2406.02905, 2024 - arxiv.org
While the ZX and ZW calculi have been effective as graphical reasoning tools for finite-
dimensional quantum computation, the possibilities for continuous-variable quantum …

Categories of semantic concepts

J Hefford, V Wang, M Wilson - arXiv preprint arXiv:2004.10741, 2020 - arxiv.org
Modelling concept representation is a foundational problem in the study of cognition and
linguistics. This work builds on the confluence of conceptual tools from G\" ardenfors …

The safari of update structures: Visiting the lens and quantum enclosures

M Wilson, J Hefford, G Boisseau, V Wang - arXiv preprint arXiv …, 2020 - arxiv.org
We build upon our recently introduced concept of an update structure to show that it is a
generalisation of very-well-behaved lenses, that is, there is a bijection between a strict …

[PDF][PDF] Kindergarten Quantum Mechanics Graduates...

B Coecke, D Horsman, A Kissinger, Q Wang - 2021 - cqwbkpro.s3.eu-west-2.amazonaws …
This paper is a 'spiritual child'of the 2005 lecture notes Kindergarten Quantum Mechanics
[23], which showed how a simple, pictorial extension of Dirac notation allowed several …