Quantum phase estimation (QPE) is an important algorithm in quantum information processing, designed to estimate the eigenvalues of a unitary operator, and it plays a significant role in quantum metrology. In our previous work [1], we have established a general framework for QPE based on sequential quantum channels [2] induced by sequential Ramsey interferometry measurements [3-5], where the adaptive scheme can achieve measurement precision at the Heisenberg limit. In this report, we introduce a general approach to bosonic quantum error detection via adaptive QPE [6]. We will begin with the decomposition of the symmetry operator, and introduce its application to error detection of various bosonic codes, including rotation-symmetric codes (such as cat codes and binomial codes) and translation-symmetric codes (such as GKP codes). Furthermore, this method enables high-fidelity state preparation of multiple bosonic codes.
[1] Y. -D. Jin, S.-Y. Zhang, and W.-L. Ma*, Phys. Rev. A 111, 022406 (2025).
[2] W. -L. Ma*, S. -S. Li, and R.-B. Liu, Phys. Rev. A 107, 012217 (2023).
[3] Y. -D.Jin# , C.-D.Qiu#, and W.-L. Ma*, Phys. Rev. A 109, 042204 (2024).
[4] C.-D.Qiu#, Y.-D.Jin#, C.-D.Qiu, G.-Q. Liu, and W.-L. Ma*, Phys. Rev. B 110,024311 (2024).
[5] J.-X. Zhang#, Y.-D.Jin#, C.-D.Qiu, W.-L.Ma*, and G.-Q. Liu*, Nat. Commun. (in press, arXiv:2412.21026).
[6] Y.-D. Jin, S.-Y. Zhang, U. L. Andersen and W.-L. Ma*, arXiv:2507.03999 (2025).
