Theory and Experimental Demonstration of Quantum Invariant Filtering

• URL: http://arxiv.org/abs/2506.15805v1
• Date: Wed, 18 Jun 2025 18:42:03 GMT
• Title: Theory and Experimental Demonstration of Quantum Invariant Filtering
• Authors: Loris Maria Cangemi, Yoav Woldiger, Amikam Levy, Assaf Hamo,
• Abstract summary: Quantum Invariant Filtering (QIF) maps arbitrary finite-impulse responses into experimentally feasible Hamiltonian modulations.<n>Our results establish QIF as a broadly applicable framework for enhanced quantum control and sensing across diverse physical platforms.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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