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The randomized benchmarking method yields estimates of the computationally relevant errors without relying on accurate state preparation and measurement. Since it involves long sequences of randomly chosen gates, it also verifies that error behavior is stable when used in long computations. (arXiv:0707.0963)

9 votes
2 answers
736 views

Physical meaning of twirling in Randomized Benchmarking

I was reading papers on Randomized Benchmarking, such as this and this. (more specifically, equation 30 in the second paper) It appears to be some kind of averaging but I would like to have a more in …
Blackwidow's user avatar
22 votes
1 answer
2k views

What is the intuition behind quantum t-designs?

I started reading about Randomized Benchmarking (this paper, arxiv version) and came across "unitary 2 design." After some googling, I found that the Clifford group being a unitary 2 design is a speci …
Blackwidow's user avatar