Input-to-state stability-based continualized quantum filtering for robust phase estimation.

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Bibliographic Details
Title: Input-to-state stability-based continualized quantum filtering for robust phase estimation.
Authors: Jantapremjit, Pakpong1 (AUTHOR) pakpong@eng.buu.ac.th
Source: International Journal of Quantum Information. Dec2025, Vol. 23 Issue 8, p1-29. 29p.
Subjects: Phase estimation (Electronics), Stability theory, Quantum computing, Feedback control systems, Stochastic differential equations, Quantum measurement, Quantum theory, Noise measurement
Abstract: This paper presents a framework integrating input-to-state stability-based continualized quantum filtering with Kitaev's quantum phase estimation to enable robust phase estimation within the Hilbert space of noisy intermediate-scale quantum systems. The approach employs a stochastic master equation to model quantum dynamics, combining quantum phase estimation phase encoding with continuous weak measurements and input-to-state stability analysis to ensure reliable estimation despite stochastic disturbances like measurement noise. Numerical simulations compare the performance of Kitaev's quantum phase estimation and the input-to-state stability-filtered across Gaussian noise levels and under phase damping channel. Future work will focus on optimizing feedback control and validating on hardware to minimize numerical instability. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This paper presents a framework integrating input-to-state stability-based continualized quantum filtering with Kitaev's quantum phase estimation to enable robust phase estimation within the Hilbert space of noisy intermediate-scale quantum systems. The approach employs a stochastic master equation to model quantum dynamics, combining quantum phase estimation phase encoding with continuous weak measurements and input-to-state stability analysis to ensure reliable estimation despite stochastic disturbances like measurement noise. Numerical simulations compare the performance of Kitaev's quantum phase estimation and the input-to-state stability-filtered across Gaussian noise levels and under phase damping channel. Future work will focus on optimizing feedback control and validating on hardware to minimize numerical instability. [ABSTRACT FROM AUTHOR]
ISSN:02197499
DOI:10.1142/S0219749925500315