Tangling schedules eases hardware connectivity requirements for quantum error correction

• DOI: 10.48550/arxiv.2307.10147
• Publication Date: 2023-01-01
• Authors: György Pál Gehér; Ophelia Crawford; Earl T. Campbell
• Keywords: Code (set theory)

Quantum computers have the potential to change way we solve computational problems. Due noisy nature of qubits, need arises correct physical errors occurring during computation. The surface code is a promising candidate for such error correction that shows high threshold and which can store logical quantum state on hardware with square-grid connectivity, type device already exists. However, computation, measurement some irregular, non-local stabilisers required, it not currently known how do this without modifying connectivity hardware. Here, present method achieve this, closing gap path fault-tolerant We introduce tangled syndrome extraction circuits, enables observables between distant qubits. As an application our tangling technique, show measure aforementioned irregular stabilisers, physically itself. concrete scheme general lattice surgery planar code. Therefore, computation using architectures.