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Theory and Experimental Demonstration of Quantum Invariant Filtering

Theory and Experimental Demonstration of Quantum Invariant Filtering

来源:Arxiv_logoArxiv
英文摘要

Quantum control protocols are typically devised in the time domain, leaving their spectral behavior to emerge only a posteriori. Here, we invert this paradigm. Starting from a target frequency-domain filter, we employ the dynamical-invariant framework to derive the continuous driving fields that enact the chosen spectral response on a qubit. This approach, Quantum Invariant Filtering (QIF), maps arbitrary finite-impulse responses, including multi-band and phase-sensitive profiles, into experimentally feasible Hamiltonian modulations. Implemented on a single nitrogen-vacancy center in diamond, the method realizes the prescribed passbands with high fidelity, suppresses noise, and preserves coherence for milliseconds, two orders of magnitude longer than Carr-Purcell-Meiboom-Gill sequences, while remaining robust to 50% drive-amplitude errors. Our results establish QIF as a broadly applicable framework for enhanced quantum control and sensing across diverse physical platforms, including superconducting qubits, trapped ions, and nuclear magnetic resonance systems.

Loris Maria Cangemi、Yoav Woldiger、Amikam Levy、Assaf Hamo

自然科学理论自然科学研究方法控制理论、控制技术

Loris Maria Cangemi,Yoav Woldiger,Amikam Levy,Assaf Hamo.Theory and Experimental Demonstration of Quantum Invariant Filtering[EB/OL].(2025-06-18)[2025-07-21].https://arxiv.org/abs/2506.15805.点此复制

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