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Just wondering if anyone here knows of a reference to anyone having used categories in electrical circuit analysis. I’m trying to better understand the analogies between quantum circuits and classical (electrical) circuits and it seems like category theory might be quite useful for this.
Edit: Let me add that one of the reasons I’m interested in understanding this is because I am working on systems that are “hybrids,” i.e. they use standard classical components (e.g. logic gates) as well as quantum components (e.g. quantum logic gates). Experimentally, making such a thing is relatively straightforward (any physical implementation of a quantum logic gate necessarily has some classical electronic components to it), but there doesn’t seem to be a strong theoretical bridge allowing for further design.
John talked about this a bit in his TWF’s not too long ago and likely gave some references. Don’t have a direct link, but it shouldn’t be too hard to find.
OK, cool, thanks.
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