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变分框架修饰下的反绝热驱动

Counterdiabatic Driving under Variational Frame Dressing

Boxi Li, Franco Nori, Felix Motzoi

arXiv 2607.28383首次发表:更新:

AI 中文总结

该研究提出变分修饰框架下的反绝热驱动方法,通过推导通用映射形式体系,实现了可在实验室原生控制下执行的反绝热协议,解决了传统反绝热驱动难以物理实现的问题。

AI 中文摘要

反绝热(CD)驱动通过指定辅助控制场加速绝热协议,但常无法将其映射到物理上可实现的操作。我们推导了此类映射的通用形式体系。我们在变分修饰框架中构建CD驱动,其中无约束的辅助生成器重塑有效绝热问题,同时强制施加的修正局限于实验室原生控制。这产生了实验室框架对易子方程,无需构造瞬时本征态或绝热及修饰框架幺正即可求解。额外的修饰框架自由度揭示了传统绝热框架中无法获得的解。我们在三种场景中说明该机制:由单个正交分量驱动的多量子比特链中 spectator 误差的抑制、具有固定纠缠相互作用的绝热贝尔态制备的解析加速、以及简并三脚架流形中受限于原生耦合的修正脉冲实现快速绝热几何门。我们的结果为构建超越传统绝热框架的可实现反绝热协议提供了系统的非微扰框架。

英文摘要

Counterdiabatic (CD) driving accelerates adiabatic protocols by prescribing auxiliary control fields, but often fails to map them to physically available operations. We derive a general formalism for such a mapping. We formulate CD driving in a variational dressed frame, where an unconstrained auxiliary generator reshapes the effective adiabatic problem while simultaneously forcing the applied correction to stay restricted to the native laboratory controls. This yields a laboratory-frame commutator equation that can be solved without constructing instantaneous eigenstates or the adiabatic and dressed-frame unitaries. The additional dressed-frame freedom reveals solutions that are inaccessible in the conventional adiabatic frame. We illustrate this mechanism in three settings: suppression of spectator errors in a multi-qubit chain driven by a single quadrature, an analytical acceleration of adiabatic Bell-state preparation with a fixed entangling interaction, and implementation of a fast adiabatic holonomic gate in a degenerate tripod manifold with correction pulses confined to the native couplings. Our results provide a systematic nonperturbative framework for constructing implementable counterdiabatic protocols beyond the conventional adiabatic frame.

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