Quantum Picturalism(quantuminpictures.org)
48 points by mathgenius 2 days ago | 4 comments
tmvphil 4 hours ago
ZX calculus is very interesting framework for doing cutting edge research in error correction and gate compilation, but it seems wildly off base as a means of making quantum computing accessible to a broader audience. Anything beyond the simple "teleportation is like pulling a string" picture is extremely difficult abstract manipulations.

(PhD in experimental QC)

hnuser123456 3 hours ago
For those of us who have decent computer science and math education and are curious about QC but have jobs in classical computing, are there any resources you recommend that are a better introduction? I understand something about being able to test large numbers of permutations of something at once, or square rooting the number of necessary operations for some functions...

edit: found this below, but it is all ZX calculus

https://zxcalc.github.io/book/html/main_html.html

abdullahkhalids 16 minutes ago
I somewhat agree. I think the goal would be to create a UI that allows you to do the ZX calculus by just creating/moving/joining the spiders etc.
Xmd5a 1 hour ago
https://x.com/coecke/status/1907809898852667702

>High-schoolers excelling at Oxford Uni post-grad quantum exam, thanks to Quantum Picturalism!

thoughts?

pentaphobe 4 hours 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-p...

[2]: https://arxiv.org/abs/2405.10896

neom 4 hours ago
Just to add, buried away there is this gh repo also: https://github.com/zxcalc/book
pentaphobe 4 hours ago
Ooh thanks, totally missed this!
tlogan 4 hours ago
Sadly, the only way to truly “understand” quantum physics is through math. A “shut up and calculate” approach.

Now, my rant.

The main reason math often seems more complicated than it really is has to do with the use of strange symbols and naming conventions. It also feels like academia in the US intentionally uses non-plain language and terminology to sound smarter and exclusive.

Back in socialist countries, there was a strong effort to name these concepts using “normal” language, and that really helped. When I came to US, I’d see something like Fourier transformation and think, “Why do use this strange name?” Why not call it “conversion of a signal into frequencies” (lose translation).

Of course, maybe the reason is that it is easier to create a new word/term in Slavic languages.

mr_mitm 13 minutes ago
Can you give a less trivial example? How would different wording help with understanding the proof of Greene's theorem, for example? When it comes down to it, it's just complicated stuff.

Maybe seeing strange symbols appears like gatekeeping to you, but surely we agree that there is also a more amicable explanation: symbols are quick to write, which makes it easier to manipulate equations with pen and paper or on a blackboard, and eventually you run out of symbols and have to resort to more exotic ones. Obviously it's up to you which explanation you prefer, but in my view you should have stronger evidence if you imply malicious intent or properties like arrogance.

rustcleaner 11 minutes ago
The jumble of letters Fourier says nothing about what a Fourier Transform is or does. Signalidominomorphosis, or just dominomorphosis, tells a lot more at face value than Fourier Transformation which just basically says "a transformation associated with a Fourier."

With the loss of the old liberal education, we are forgetting our words are like pictograms, compiled from meaningful components from the shoulders of classical languages and ideas. Etymology books should be as common as dictionaries!

(don't mind me, just trying to anonymously add to the dictionary)

rustcleaner 55 minutes ago
>Why not call it “conversion of a signal into frequencies”

I agree, there has to be a combination of Greek & Latin parts to compile into a Germanic-style adjective sandwich of a word which describes the Fourier.

Interpolation is one such word:

Inter - between/among,

pol - fill/smooth/polish,

ation - action or process of the foregoing.

May I propose 'Signalidominotransform' or 'Signalidominomorphosis' as candidates to replace "Fourier Transformation?"

yvdriess 2 hours ago
Their pictoral representation is a "shut up and calculate" notation, you can always map it 1:1 with the linear algebra formulation. It was developed as a better tool of thought for working out proofs in QC.

I had the pleasure of interacting with Duncan and Bob when XZ calculus was being developed. While I did not use their calculus for my own research, it did inspire the graphical notation I doodled with.

While I agree that naming a thing after a person makes it less clear at first glance, it is definitely not to intentionally sound smarter and exclusive; it's simply a handy short label for often subtle and complex things in an environment where you are constantly referring to it. New fields or domains will typically develop their own notation, as they often require new tools of thought. I'm sure you are not suggesting that Feynman diagrams or Einstein summations making things more complicated than they really are.

To your point: the annoying part is when the conventions clash. In early QC works an X could be the X-gate or something else completely. A good chunk of the effort in writing or understanding a QC publication was establishing the notation. After a while notation gets a bit more consolidated as conventions get naturally established. Of course, if you move from a world that has established its own conventions, e.g. behind the iron curtain, it can be frustrating to be confronted with the many eponyms in a field where you already have deep expertise. I had similar experiences just from working in teams that were using different programming languages: "Why call it a SAX parser? That's just tree-recursive descent!"

constantcrying 3 hours ago
As if that is the problem with mathematics. 99.9% of mathematics isn't about how things are named. There are zero persons in the world who failed to understand the Fourier transform because of its name.
tlogan 3 hours ago
I think you are maybe right here.
aleph_minus_one 2 hours ago
> it is easier to create a new word/term in Slavic languages.

Why is this the case?

akomtu 2 hours ago
Math needs to be this way for precision. There are dozens of "conversions of signal into frequencies" besides Fourier transform: Z-transform, Laplace tansform, Wigner transform and so on. Normal language deals with few concepts, math deals with thousands.

Soviet countries wanted to isolate their peoples from western ideas. If you start teaching about Fourier transform in schools, students are going to ask who that Fourier is.

baxtr 5 hours ago
> The term, “Quantum Picturalism” was coined to describe this unique approach of teaching quantum concepts visually, reducing intimidation and opening the field to broader audiences.