High-rate quantum LDPC codes for long-range-connected neutral atom registers
arxiv(2024)
摘要
High-rate quantum error correcting (QEC) codes with moderate overheads in
qubit number and control complexity are highly desirable for achieving
fault-tolerant quantum computing. Recently, quantum error correction has
experienced significant progress both in code development and experimental
realizations, with neutral atom qubit architecture rapidly establishing itself
as a leading platform in the field. Scalable quantum computing will require
processing with QEC codes that have low qubit overhead and large error
suppression, and while such codes do exist, they involve a degree of
non-locality that has yet to be integrated into experimental platforms. In this
work, we analyze a family of high-rate Low-Density Parity-Check (LDPC) codes
with limited long-range interactions and outline a near-term implementation in
neutral atom registers. By means of circuit-level simulations, we find that
these codes outperform surface codes in all respects when the two-qubit nearest
neighbour gate error probability is below ∼ 0.1%. We show how these codes
can be natively integrated in two-dimensional static neutral atom qubit
architectures with open boundaries, where the desired long-range connectivity
can be targeted via Rydberg-blockade interaction. Our protocol solely requires
multiple laser colors to enable transitions to different Rydberg states for
different interatomic distances.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要