Quantum Computation

Category Theory

2-Category of Topological Quantum Computation
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Fatimah Rita Ahmadi
arXiv preprint · 2025

This paper develops a 2-categorical framework for topological quantum computation.

The ZX-Calculus as a Language for Topological Quantum Computation
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Fatimah Rita Ahmadi, Aleks Kissinger
Journal of Physics A: Mathematical and Theoretical, Vol. 56, No. 41 · 2023

We show how the ZX-calculus can serve as a graphical language for topological quantum computation.

Topological Quantum Computation Through the Lens of Categorical Quantum Mechanics
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Fatimah Rita Ahmadi, Aleks Kissinger
arXiv e-prints · 2022
Bicategorical Aspects of Topological Quantum Computation
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Fatimah Rita Ahmadi
DPhil Thesis, University of Oxford · 2022

This thesis studies and proposes bicategorical structures for topological quantum computation.

Monoidal 2-Categories: A Review
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Fatimah Rita Ahmadi
arXiv preprint · 2020

A self-contained review of monoidal 2-categories, collecting and clarifying definitions, coherence conditions, and axioms.

Typing Tensor Calculus in 2-Categories
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Fatimah Ahmadi
arXiv preprint · 2019

This paper develops a typed tensor calculus within the framework of 2-categories.

Reviewer — [Journal / Conference Name]

[Brief note, e.g. regular reviewer since 2022]

2022–present

Programme Committee — [Conference Name]

[Brief note on your role]

2023

Organiser — [Workshop / Seminar Name]

[Brief description of the event and your role]

2024