Unitary 2-design


How can I determine, if my variational quantum circuit is forming a local 2-design in QNN context??


Hi @Muhammad_Kashif ! Very good question, I have been talking to my colleague @CY_Park and he told me that it is more like a research question :man_scientist:

The best method (mathematically well-grounded) is obtain a channel (maybe Kraus representation) and compute its diamond distance to a Haar random channel. In this paper you can find an example of this study.

And if you haven’t already done so, I recommend you take a look at this demo to understand exactly what this design thing is all about :smile: