YQI Talk - Jahan Claes - University of Illinois Urbana-Champaign

Event time: 
Friday, November 6, 2020 - 12:00pm to 1:00pm
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Event description: 
Character randomized benchmarking with multiplicity: applications to subspace and matchgate randomized benchmarking
Abstract: Randomized benchmarking (RB) is a powerful method for determining the error rate of experimental quantum gates. However, classical RB is restricted to gatesets, such as the Clifford group, that form a unitary 2-design. In this talk, I’ll discuss recent extensions of RB to other groups, including our work extending character RB to groups with “multiplicity.” I’ll illustrate the power of character RB with multiplicity through two main applications. First, I’ll derive a rigorous version of the recently introduced subspace RB, which seeks to characterize a set of one- and two-qubit gates that are symmetric under SWAP. Second, I’ll derive a scalable RB protocol for the matchgate group, a group that like the Clifford group is non-universal but becomes universal with the addition of one additional gate. This represents one of the few examples of a scalable non-Clifford RB protocol. I’ll conclude by discussing the potential of using non-multiplicity-free character RB to find new classes of scalable RB protocols and methods of characterizing specific gates, and the associated challenges.
Hosted by Shruti Puri