Optimizing Graph Codes for Measurement-Based Loss Tolerance

Graph codes play an important role in photonic quantum technologies as they provide significant protection against qubit loss, a dominant noise mechanism. Here, we develop methods to analyze and optimize measurement-based tolerance loss computational errors for arbitrary graph codes. Using these tools identify optimized with up 12 qubits asymptotically large modular constructions. The developed enable benefits various technologies, illustrate novel all-photonic repeater states communication high-threshold fusion-based schemes fault-tolerant computing.9 MoreReceived 15 December 2022Accepted 13 April 2023DOI:https://doi.org/10.1103/PRXQuantum.4.020328Published by the American Physical Society under terms of Creative Commons Attribution 4.0 International license. Further distribution this work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasMeasurement-based computingOptical information processingQuantum error correctionQuantum atoms & lightQuantum interconnectsQuantum repeatersQuantum Information