Geometric Construction of Dynamically Corrected Quantum Gates
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915504629743616 |
|---|---|
| author | Kukita, Shingo Kondo, Yasushi |
| author_facet | Kukita, Shingo Kondo, Yasushi |
| contents | The foundation of quantum technologies lies in the precise control of quantum systems. It is crucial to implement dynamically corrected quantum gates (DCQG), which compensate for individual quantum gate errors to make them more resilient to errors alongside quantum error correction. Off-resonance error (ORE), which originates from fluctuation and mis-calibration of resonance frequencies of qubits, is one of the most critical error types to be compensated. There have been many studies on constructing DCQGs robust against ORE up to its first order.Explicit construction of second-order robust DCQGs against ORE has been discussed less. Recently, the geometric meaning of the second-order robustness against ORE was uncovered. From this implication, we propose a geometric construction of second-order DCQGs against ORE using a first-order DCQG as a seed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16556 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Construction of Dynamically Corrected Quantum Gates Kukita, Shingo Kondo, Yasushi Quantum Physics The foundation of quantum technologies lies in the precise control of quantum systems. It is crucial to implement dynamically corrected quantum gates (DCQG), which compensate for individual quantum gate errors to make them more resilient to errors alongside quantum error correction. Off-resonance error (ORE), which originates from fluctuation and mis-calibration of resonance frequencies of qubits, is one of the most critical error types to be compensated. There have been many studies on constructing DCQGs robust against ORE up to its first order.Explicit construction of second-order robust DCQGs against ORE has been discussed less. Recently, the geometric meaning of the second-order robustness against ORE was uncovered. From this implication, we propose a geometric construction of second-order DCQGs against ORE using a first-order DCQG as a seed. |
| title | Geometric Construction of Dynamically Corrected Quantum Gates |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.16556 |