Tech. Note: On the Weyl chamber of canonical non-local 2-qubit gates

The Weyl chamber of canonical non-local 2-qubit gates. Papercraft meets quantum computing. Print, cut, fold, and paste.

A 2-qubit gate has 15 free parameters. But you can apply local 1-qubit gates before and after, which leaves a 15-4x3=3-parameter space of non-local gates. Once you remove a bunch of symmetries, you’re left with a tetrahedral chamber in which all your favorite 2-qubit gates live.

PDF: http://threeplusone.com/weyl

Source code: https://github.com/gecrooks/on_weyl

Further exposition: Gates, States, and Circuit: Notes on the circuit model of quantum computing

Release Notes

• v4: Added Sycamore gate
• v3: Added ECP and Dagwood-Bumstead gates, and various other tweaks.