Minimising statistical errors in calibration of quantum-gate sets

Kavli Affiliate: David Gross

| First 5 Authors: Yaiza Aragonés-Soria, René Otten, Tobias Hangleiter, Pascal Cerfontaine, David Gross

| Summary:

Calibration of quantum gates is a necessary hurdle to overcome on the way to
a reliable quantum computer. In a recent paper, a protocol called Gate Set
Calibration protocol (GSC) has been introduced and used to learn coherent
errors from multi-qubit quantum gates. Here, we extend this study in a number
of ways: First, we perform a statistical analysis of the measurement
uncertainties. Second, we find explicit measurement settings that minimize this
uncertainty, while also requiring that the protocol involves only a small
number of distinct gates, aiding physical realizability. We numerically
demonstrate that, just by adding two more single-qubit gates to GSC, the
statistical error produced in the calibration of a CNOT gate is divided by a
factor of more than two.

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