Chatterjee Avimita, Das Subrata, Ghosh Swaroop
Department of Computer Science & Engineering, The Pennsylvania State University, State College, PA 16801, USA.
School of Electrical Engineering and Computer Science, The Pennsylvania State University, State College, PA 16802, USA.
Sensors (Basel). 2025 Mar 17;25(6):1854. doi: 10.3390/s25061854.
Quantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors effectively. Among these, topological codes, particularly surface codes, stand out for their low error thresholds and feasibility for implementation in large-scale quantum computers. However, these codes are restricted to encoding a single qubit. Lattice surgery is crucial for enabling interactions among multiple encoded qubits or between the lattices of a surface code, ensuring that its sophisticated error-correcting features are maintained without significantly increasing the operational overhead. Lattice surgery is pivotal for scaling QECCs across more extensive quantum systems. Despite its critical importance, comprehending lattice surgery is challenging due to its inherent complexity, demanding a deep understanding of intricate quantum physics and mathematical concepts. This paper endeavors to demystify lattice surgery, making it accessible to those without a profound background in quantum physics or mathematics. This work explores surface codes, introduces the basics of lattice surgery, and demonstrates its application in building quantum gates and emulating multi-qubit circuits.
量子纠错（QEC）在纠正噪声以及为容错量子计算铺平道路方面发挥着至关重要的作用。该领域取得了重大进展，新的量子纠错码不断涌现，以有效解决错误问题。其中，拓扑码，特别是表面码，因其低错误阈值以及在大规模量子计算机中实现的可行性而脱颖而出。然而，这些码仅限于对单个量子比特进行编码。晶格手术对于实现多个编码量子比特之间或表面码的晶格之间的相互作用至关重要，可确保在不显著增加操作开销的情况下维持其复杂的纠错特性。晶格手术对于在更广泛的量子系统中扩展量子纠错码至关重要。尽管其至关重要，但由于其固有的复杂性，理解晶格手术具有挑战性，需要对复杂的量子物理和数学概念有深入的理解。本文致力于揭开晶格手术的神秘面纱，使那些没有深厚量子物理或数学背景的人也能理解。这项工作探讨了表面码，介绍了晶格手术的基础知识，并展示了其在构建量子门和模拟多量子比特电路中的应用。
