Transversal Fanout 用于容错分布式量子计算：分析与应用
Transversal Fanout for Fault Tolerant Distributed Quantum Computing: Analysis and Application
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中文总结 AI 辅助
本文提出利用横向操作在分布式容错量子计算中高效实现逻辑扇出，减少非局部通信，并用BB码块验证，同时分析资源开销及全局门GCZ的分布式实现。
中文摘要 AI 辅助
我们研究了一种在容错分布式量子计算中使用量子纠错码块上的横向操作来实现逻辑扇出操作的资源高效方法。逻辑扇出由从公共控制量子比特到位于远程节点的目标量子比特的多个受控非门组成，是分布式量子计算的重要原语，但在编码块之间直接实现时可能需要大量的非局部通信。我们利用编码块的结构和横向逻辑操作的可用性来构建分布式扇出电路，这些电路减少了所需的非局部操作，同时保持了扇出操作的逻辑作用。该构造针对编码量子信息开发，并使用双变量自行车（BB）码块进行说明。我们分析了由此产生的物理门、纠缠、电路深度和辅助比特需求。该方法为在分布式纠错量子处理器上实现大型逻辑扇出操作提供了一种系统方法。此外，我们还研究了涉及逻辑量子比特（使用BB码块编码）的全局门GCZ的分布式实现，利用了横向分布式扇出中的并发性。
英文摘要
We study a resource-efficient approach for implementing logical fanout operations in fault-tolerant distributed quantum computing using transversal operations on quantum error-correcting code blocks. Logical fanout, comprising multiple controlled-NOT operations from a common control qubit to target qubits located at remote nodes, is an important primitive for distributed quantum computation but can require substantial non-local communication when implemented directly between encoded blocks. We exploit the structure of encoded blocks and the availability of transversal logical operations to construct distributed fanout circuits that reduce the required non-local operations while preserving the logical action of the fanout operation. The construction is developed for encoded quantum information and illustrated using Bivariate Bicycle (BB)-code blocks. We analyze the resulting physical gate, entanglement, circuit-depth, and ancilla requirements. The approach provides a systematic method for implementing large logical fanout operations across distributed error-corrected quantum processors. Also, we study a distributed implementation of the global gate GCZ involving logical qubits (encoded using BB-code blocks), exploiting the concurrency in transversal distributed fanouts.
发表机构
- School of Information Technology, Deakin University（迪肯大学信息技术学院）
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