تقرير
Distance-preserving stabilizer measurements in hypergraph product codes
| العنوان: | Distance-preserving stabilizer measurements in hypergraph product codes |
|---|---|
| المؤلفون: | Manes, Argyris Giannisis, Claes, Jahan |
| سنة النشر: | 2023 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | Unlike the surface code, quantum low-density parity-check (QLDPC) codes can have a finite encoding rate, potentially lowering the error correction overhead. However, finite-rate QLDPC codes have nonlocal stabilizers, making it difficult to design stabilizer measurement circuits that are low-depth and do not decrease the effective distance. Here, we demonstrate that a popular family of finite-rate QLDPC codes, hypergraph product codes, has the convenient property of distance-robustness: any stabilizer measurement circuit preserves the effective distance. In particular, we prove the depth-optimal circuit in [Tremblay et al, PRL 129, 050504 (2022)] is also optimal in terms of effective distance. Comment: 5 pages plus references, comments welcome |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2308.15520Test |
| رقم الانضمام: | edsarx.2308.15520 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |