Symmetric subspace randomized benchmarking

Presenting Author: Charles Baldwin, Honeywell Quantum Solutions
Contributing Author(s): John Gaebler, Bryce Bjork, Daniel Stack

Randomized benchmarking is the standard tool for accurately characterizing error rates of quantum hardware. However, multi-qubit benchmarking is complicated by both the exponential growth of the gate set with qubit number and practical experimental challenges of synthesizing such gates. We present a new two-qubit randomized benchmarking procedure that operates only in the symmetric subspace of a pair of qubits. By performing benchmarking only in the symmetric subspace, we drastically reduce the number of gates required, and simplify the experimental implementation. We demonstrate the protocol in a trapped-ion experiment using arbitrary global single-qubit rotations and the Molmer-Sorenson interaction. Most expected errors in a Molmer-Sorenson gate keep population in the symmetric subspace but even errors that mix symmetric and anti-symmetric subspaces can be diagnosed. These errors appear as leakage and their rate can by characterized by combining our protocol with recently proposed leakage benchmarking.

(Session 5 : Sunday from 5:00pm - 7:00pm)


SQuInT Chief Organizer
Akimasa Miyake, Associate Professor

SQuInT Local Organizers
Rafael Alexander, Postdoctoral Fellow
Chris Jackson, Postdoctoral Fellow

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Gloria Cordova
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SQuInT Assistant
Wendy Jay

SQuInT Founder
Ivan Deutsch, Regents' Professor, CQuIC Director

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