Universal quantum control with error correction

• URL: http://arxiv.org/abs/2502.19786v1
• Date: Thu, 27 Feb 2025 05:51:17 GMT
• Title: Universal quantum control with error correction
• Authors: Zhu-yao Jin, Jun Jing,
• Abstract summary: We provide a universal and realtime control strategy to cope with arbitrary type of errors in the system Hamiltonian.<n>Our universal control theory can advance the performance of various quantum tasks on imperfect systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Error correction is generally demanded in large-scale quantum information processing and quantum computation. We here provide a universal and realtime control strategy to cope with arbitrary type of errors in the system Hamiltonian. The strategy provides multiple error-resilient paths of the interested system by the von Neumann equation for ancillary projection operators. With no extra control fields and precise designs, only the path-dependent global phase is required to vary rapidly to suppress the error-induced transitions among distinct paths. Those corrected paths can also be regarded as the approximate solutions to the time-dependent Schr\"odinger equation perturbated by errors. We practice the strategy with the cyclic transfer of populations in a three-level system, showing a superior error-resilience to parallel transport. Our universal control theory can advance the performance of various quantum tasks on imperfect systems.

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