I am Hector (or Hex, they/them), and I am a
PhD student in Graphical Calculi for Quantum Computing at the University of Oxford.
My work has included the creation, alteration and generalisation
of graphical calculi, and the theoretical groundwork
for the automated generation of theorems using these calculi.
I have also assisted in building the tool Quantomatic,
and the creation of a website on the ZX calculus,
which contains tutorials, demos, and accessibility information.
The idea of conjecture synthesis is to automatically generate true and interesting
statements inside a given theory.
While the ZX-calculus is the primary calculus we work with (and therefore Quantum Computing theorems the
the theory and software developed can be extended to other categories and calculi.
The software is written as a module on top of Quantomatic, a graphical rewrite tool that I am continuing to
develop as part of a legacy of DPhil students, overseen by Aleks Kissinger.
While my current work is officially described as Computer Science
my background, methods and other interests are mathematical in nature.
Research, talks and publications
- Paper: Entanglement and Quaternions: The graphical calculus ZQ,
arxiv link, March 2020
- Paper: There and back again: A circuit extraction tale,
(Miriam Backens, Hector Miller-Bakewell, Giovanni de Felice, Leo Lobski, John van de Wetering) March 2020
- Talk: Phase homomorphisms, slides,
ZX Workshop 2020-02-03
- Talk: Phase-Ring Calculi, slides,
ZX Workshop 2019-12-09
- Talk: ZQ, slides, ZX Workshop
- Talk: Conjecture Intuition
and Verification for Diagrammatic
Languages, ACT 2019
- Talk: Finite Verification for Infinite Families of Diagram Equations,
recording, QPL 2019
Empowering People with Informed Consent, Data for Policy 2019
(Anirban Basu, Stephen Marsh, Tessa Darbyshire*, Natasha Dwyer, Hector Miller-Bakewell)
- Website: zxcalculus.com, an introduction to the ZX-calculus and demo of
- Paper: Finite Verification for Infinite Families of Diagram Equations,
arxiv link, March 2019
- Software: Quantomatic, a program for manipulating spider
In the event that this list lags behind reality you can also check
on the arXiv
or the publication list
I have, by now, far too many drawings of hedgehogs (among other things, but mostly hedgehogs,)
which you can find on my instagram
The reason for the name "sometimes my hands work" is because disability left me without full
use of my hands for around five years, and drawing became part of the recovery process from that.
It has only strengthened my resolve to try and improve accessibility