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Main Authors: Jin, Zhu-yao, Jing, Jun
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.19786
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author Jin, Zhu-yao
Jing, Jun
author_facet Jin, Zhu-yao
Jing, Jun
contents Error correction is generally demanded in large-scale quantum information processing and quantum computation. We provide here a universal and realtime control strategy to dynamically correct the arbitrary type of errors in the system Hamiltonian. It yields multiple error-resilient paths for the interested system which are activated by the von Neumann equation for ancillary projection operators. With no extra control fields and precise designs, the path-dependent global phase alone suffices to mitigate the error-induced transitions among distinct paths as long as it varies faster than the other parameters. The corrected paths can also be regarded as the approximate solutions to the time-dependent Schrödinger equation perturbed by errors. Our dynamical-correction strategy is practiced with the cyclic transfer of populations in a three-level system, showing a superior error resilience to the parallel-transport condition. It provides a promising idea for advancing control methodologies in imprecise quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19786
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universal quantum control with dynamical correction
Jin, Zhu-yao
Jing, Jun
Quantum Physics
Error correction is generally demanded in large-scale quantum information processing and quantum computation. We provide here a universal and realtime control strategy to dynamically correct the arbitrary type of errors in the system Hamiltonian. It yields multiple error-resilient paths for the interested system which are activated by the von Neumann equation for ancillary projection operators. With no extra control fields and precise designs, the path-dependent global phase alone suffices to mitigate the error-induced transitions among distinct paths as long as it varies faster than the other parameters. The corrected paths can also be regarded as the approximate solutions to the time-dependent Schrödinger equation perturbed by errors. Our dynamical-correction strategy is practiced with the cyclic transfer of populations in a three-level system, showing a superior error resilience to the parallel-transport condition. It provides a promising idea for advancing control methodologies in imprecise quantum systems.
title Universal quantum control with dynamical correction
topic Quantum Physics
url https://arxiv.org/abs/2502.19786