Clifford hierarchy demo

[drdren]

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Deployed at: 2026-04-01 21:10:55 UTC

[dwierichs]

Amazing work @drdren! It was really easy to follow and the scope, structure and flow really work out very nicely! 🎉
I had a serious of comments and questions, but nothing dramatic/major :)
I think the "largest" is that the semi-Clifford section could use some additional connectors to the remaining demo; 1) anticipate its usefulness for the question "Why T gates?" and 2) highlight that the cheaper teleportation circuit can be used for $T$ gates.

[dwierichs]

Having some background knowledge, I understand this paragraph. However, to a reader less familiar with the topic, it might not be clear at this point what transversality is, and whether/why it would be the only way to get fault tolerance.
Maybe you could spend one more sentence on introducing transversality, not on a technical level but in terms of its properties: they're simple realization of logic gates that do not propagate errors too quickly, so they are an easy way to get a fault-tolerant gate.

Connected to this:
Currently, with the little knowledge a reader might have, they might be confused by the strong premise

Therefore, it appears that universal quantum computing is impossible to do with error correction.

Following up on the above change, maybe the twist can be more like "what other way could there be to include non-Clifford gates if Eastin-Knill tells us it can't be transversal? -> If only there was some relationship..."

[dwierichs]

Amazing work @drdren! It was really easy to follow and the scope, structure and flow really work out very nicely! 🎉
I had a serious of comments and questions, but nothing dramatic/major :)
I think the "largest" is that the semi-Clifford section could use some additional connectors to the remaining demo; 1) anticipate its usefulness for the question "Why T gates?" and 2) highlight that the cheaper teleportation circuit can be used for $T$ gates.

[drdren]

Update based on David's comments