论文标题
模块化体系结构的量子LDPC代码
Quantum LDPC Codes for Modular Architectures
论文作者
论文摘要
为了扩展量子计算机的规模，模块化在大多数量子计算技术中起着核心作用。鉴于容错的距离，这需要设计与建筑布局所产生的连接性兼容的量子误差校正代码。在本文中，我们旨在通过提供一种新颖的方式来查看和构建针对模块化体系结构量身定制的量子LDPC代码来弥合这一差距。我们证明，如果可以将内部和模型间的量子连接连接视为对应于某些经典或量子LDPC代码，则其HyperGraph产品代码完全尊重体系结构的连接约束。最后，我们证明了放松的连接约束，使模块之间的连接曲折铺平了一种方法，可以构造具有更好参数的代码。
In efforts to scale the size of quantum computers, modularity plays a central role across most quantum computing technologies. In the light of fault tolerance, this necessitates designing quantum error-correcting codes that are compatible with the connectivity arising from the architectural layouts. In this paper, we aim to bridge this gap by giving a novel way to view and construct quantum LDPC codes tailored for modular architectures. We demonstrate that if the intra- and inter-modular qubit connectivity can be viewed as corresponding to some classical or quantum LDPC codes, then their hypergraph product code fully respects the architectural connectivity constraints. Finally, we show that relaxed connectivity constraints that allow twists of connections between modules pave a way to construct codes with better parameters.
