General Combination of Circuits

[daehiff]

So far we have only Paulipolynomials as circuit structures. Nevertheless, taking a look at the following works:

• https://arxiv.org/abs/2303.17366
• https://arxiv.org/pdf/2007.10515.pdf
• https://arxiv.org/pdf/2304.08814.pdf

We can see, that there may be more forms acting on the 'Circuit'.

General Discussion: Should we integrate more forms of those into Pauliopt (like pure CliffordCircuits, ...) and in which form.