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General Approach to Error Detection of Bosonic Codes via Phase Estimation
Yuan-De Jin1,2, Shi-Yu Zhang3, Ulrik L Andersen4
1Institute of Semiconductors, State Key Laboratory of Semiconductor Physics and Chip Technologies, Chinese Academy of Sciences, Beijing 100083, China.
Physical Review Letters
|October 19, 2025
Summary
We developed a new method for detecting errors in bosonic quantum error-correction codes using adaptive quantum phase estimation. This approach achieves Heisenberg-limited precision and is feasible for current experiments.
Area of Science:
- Quantum Information Science
- Quantum Error Correction
- Quantum Computing
Background:
- Bosonic quantum error-correction codes are crucial for building fault-tolerant quantum computers.
- Detecting errors in these codes is essential for maintaining quantum information integrity.
- Existing methods may lack the precision or applicability needed for advanced quantum systems.
Purpose of the Study:
- To present a general and precise method for error detection in bosonic quantum error-correction codes.
- To demonstrate the feasibility of the proposed method in current experimental setups.
- To extend the developed technique for efficient generation of Fock states.
Main Methods:
- Utilizing an adaptive quantum phase estimation algorithm.
- Employing a single ancilla qubit to assist in error syndrome detection.
- Applying the method to various bosonic codes, including rotation-symmetric and Gottesman-Kitaev-Preskill (GKP) codes.
Main Results:
- Achieved error detection precision scaling inversely with total evolution time, reaching the Heisenberg limit.
- Successfully demonstrated detection of excitation loss errors in cat/binomial codes and displacement errors in GKP codes.
- Showcased the capability to efficiently generate arbitrary Fock states using the extended approach.
Conclusions:
- The proposed adaptive quantum phase estimation offers a general and highly precise method for bosonic quantum error detection.
- The technique is applicable to a wide range of bosonic codes and is compatible with present-day experimental capabilities.
- This work provides a significant advancement for robust quantum information processing using bosonic codes.
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