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IANAP so got curious about how ZX Calculus related to Feynman Diagrams (if at all) Search landed on this neat summary [^1] (2024) from the lab(?) which also ha
by pentaphobe 1y ago
IANAP so got curious about how ZX Calculus related to Feynman Diagrams (if at all)
Search landed on this neat summary [^1] (2024) from the lab(?) which also has a link to the original paper [^2]
[1]: https://www.quantinuum.com/blog/quantinuum-scientists-have-perfected-a-way-of-doing-maths-with-diagrams-instead-of-symbols https://www.quantinuum.com/blog/quantinuum-scientists-have-p...
[2]: https://arxiv.org/abs/2405.10896 https://arxiv.org/abs/2405.10896
- neom 1y agoJust to add, buried away there is this gh repo also: https://github.com/zxcalc/book https://github.com/zxcalc/book
- pentaphobe 1y agoOoh thanks, totally missed this!
- hbartab 1y agoBoth are diagrammatic but that's all the overlap there is. Feynman diagrams are a way to compute Green's functions/propagators for particle scattering amplitudes. IOW they give a pictorial representation of things you need to compute to figure out particle reactions at high energies. ZX calculus is for "simplifying" quantum circuits. I write this in quotes because the rules are pretty involved. Apart from Quantinuum, few (if any) are pushing for it. Almost no quantum computing papers are published using ZX notation. Feynman diagrams in particle physics are, however, universal. You might enjoy this write-up: https://pennylane.ai/qml/demos/tutorial_zx_calculus https://pennylane.ai/qml/demos/tutorial_zx_calculus