Experimental Bayesian calibration of trapped ion entangling operations

Abstract

The performance of quantum gate operations is experimentally determined by how correct operational parameters can be determined and set, and how stable these parameters can be maintained. In addition, gates acting on different sets of qubits require unique sets of control parameters. Thus, an efficient multi-dimensional parameter estimation procedure is crucial to calibrate even medium sized quantum processors. Here, we develop and characterize an efficient calibration protocol to automatically estimate and adjust experimental parameters of the widely used Molmer-Sorensen entangling gate operation in a trapped ion quantum information processor. The protocol exploits Bayesian parameter estimation methods which includes a stopping criterion based on a desired gate infidelity. We experimentally demonstrate a median gate infidelity of $1.3(1)\cdot 10^{-3}$, requiring only $1200\pm 500$ experimental cycles, while completing the entire gate calibration procedure in less than one minute. This approach is applicable to other quantum information processor architectures with known or sufficiently characterized theoretical models.

20 pages, 11 figures; Fixed typo in abstract

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Cited by in corpus (4)

• Colloquium: Advances in automation of quantum dot devices control
• Quantum control methods for robust entanglement of trapped ions
• Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
• Efficient motional-mode characterization for high-fidelity trapped-ion quantum computing