تقرير
Trivariate Bicycle Codes
| العنوان: | Trivariate Bicycle Codes |
|---|---|
| المؤلفون: | Voss, Lukas, Xian, Sim Jian, Haug, Tobias, Bharti, Kishor |
| سنة النشر: | 2024 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | Quantum error correction suppresses noise in quantum systems to allow for high-precision computations. In this work, we introduce Trivariate Bicycle Quantum Low-Density Parity-Check (TB-QLDPC) codes, via an extension of the framework developed by Bravyi et al. [Nature, 627, 778-782 (2024)]. Unlike the weight-6 codes proposed in their study, our approach also offers weight-4 and weight-5 codes, which promises to be more amenable to near-term experimental setups. We show that our TB-QLDPC codes up to weight-6 have a bi-planar structure. Further, most of our new codes can also be arranged in a two-dimensional toric layout, and have substantially better encoding rates than comparable surface codes while offering comparable error suppression capabilities. For example, we can encode 4 logical qubits with distance 5 into 30 physical qubits with weight-5 check measurements, while a surface code with comparable parameters requires 100 physical qubits. The high encoding rate and compact layout make our codes highly suitable candidates for near-term hardware implementations, paving the way for a realizable quantum error correction protocol. Comment: 18 pages, 18 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.19151 |
| رقم الأكسشن: | edsarx.2406.19151 |
| قاعدة البيانات: | arXiv |
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