Abstract
We introduce a non-orthogonal amplitude amplification (NOAA) method for hybrid continuous-variable- discrete-variable (CV-DV) quantum processors, where the available CV-assisted projector is not perfectly se- lective for the target state. We establish a bound on the achievable target-state fidelity, which is determined by the initial target-state amplitude and the selectivity of the accessible reflection operator. This bound limits the performance of NOAA in hybrid CV-DV systems. To mitigate this limitation, we propose using a squeezed CV ancilla to reduce the overlap between relevant CV states and a hybrid quantum signal processing (HQSP) filter to suppress errors arising from imperfect knowledge of the target eigenenergy. Numerical simulations show that, for small initial target-state amplitudes, our protocol achieves higher fidelity and efficiency than the repeat-until-success (RUS) method despite the presence of non-orthogonality. For large initial amplitudes, RUS is already efficient, and amplitude amplification provides little additional advantage.
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Cite this article
APA 7
Liu, J., Bierman, J., & Liu, Y. (2026). Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors. https://omanscience.com/en/articles/non-orthogonal-amplitude-amplification-for-hybrid-cv-dv-quantum-processors
MLA 9
Liu, Jiyuan, et al. "Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors." https://omanscience.com/en/articles/non-orthogonal-amplitude-amplification-for-hybrid-cv-dv-quantum-processors.
Chicago (author–date)
Liu, Jiyuan, Joel Bierman, and Yuan Liu. 2026. "Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors." https://omanscience.com/en/articles/non-orthogonal-amplitude-amplification-for-hybrid-cv-dv-quantum-processors.
Harvard
Liu, J., Bierman, J. and Liu, Y. (2026) 'Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors', Available at: https://omanscience.com/en/articles/non-orthogonal-amplitude-amplification-for-hybrid-cv-dv-quantum-processors.
Vancouver
Liu J, Bierman J, Liu Y. Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors. https://omanscience.com/en/articles/non-orthogonal-amplitude-amplification-for-hybrid-cv-dv-quantum-processors
IEEE
J. Liu, J. Bierman, and Y. Liu, "Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors," https://omanscience.com/en/articles/non-orthogonal-amplitude-amplification-for-hybrid-cv-dv-quantum-processors.