Programmable Heisenberg-limit sensor from a nonlinear quantum energy pump

• URL: http://arxiv.org/abs/2608.10308v1
• Date: Mon, 10 Aug 2026 23:30:39 GMT
• Title: Programmable Heisenberg-limit sensor from a nonlinear quantum energy pump
• Abstract summary: We introduce a programmable Heisenberg-limited bosonic quantum sensor based on a nonlinear quantum energy pump.<n>We analytically construct optimal sensing protocols that attain the maximal quantum Fisher information.<n>We numerically demonstrate the construction and its robustness using realistic circuit-QED parameters.
• Score: 11.004709593999296
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a programmable Heisenberg-limited bosonic quantum sensor based on a nonlinear quantum energy pump, implemented with a Kerr-nonlinear resonator coupled to multiple high-Q microwave terminal resonators. For parameter estimation encoded in an arbitrary number-conserving Hamiltonian acting on the terminal modes, we analytically construct optimal sensing protocols that attain the maximal quantum Fisher information, including initial-state loading, probe preparation, and readout. For diagonal multiparameter signals, we further show that the full phase-sensing quantum Fisher information matrix can be obtained from correlations of locally measured physical terminal works, providing a signal-free calibration of the metrological resource. We numerically demonstrate the construction and its robustness using realistic circuit-QED parameters while including experimentally relevant imperfections.

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