Heisenberg-limited calibration of entangling gates with robust phase estimation

Kavli Affiliate: Irfan Siddiqi

| First 5 Authors: Kenneth Rudinger, J. P. Marceaux, Akel Hashim, David I. Santiago, Irfan Siddiqi

| Summary:

The calibration of high-quality two-qubit entangling gates is an essential
component in engineering large-scale, fault-tolerant quantum computers.
However, many standard calibration techniques are based on randomized circuits
that are only quadratically sensitive to calibration errors. As a result, these
approaches are inefficient, requiring many experimental shots to achieve
acceptable performance. In this work, we demonstrate that robust phase
estimation can enable high-precision, Heisenberg-limited estimates of coherent
errors in multi-qubit gates. Equipped with an efficient estimator, the
calibration problem may be reduced to a simple optimization loop that minimizes
the estimated coherent error. We experimentally demonstrate our calibration
protocols by improving the operation of a two-qubit controlled-Z gate on a
superconducting processor, and we validate the improved performance with gate
set tomography. Our methods are applicable to gates in other quantum hardware
platforms such as ion traps and neutral atoms, and on other multi-qubit gates,
such as CNOT or iSWAP.

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