Fusion and flow: formal protocols to reliably build photonic graph states

• URL: http://arxiv.org/abs/2409.13541v1
• Date: Fri, 20 Sep 2024 14:33:54 GMT
• Title: Fusion and flow: formal protocols to reliably build photonic graph states
• Authors: Giovanni de Felice, Boldizsár Poór, Lia Yeh, William Cashman,
• Abstract summary: Recently proposed fusion-based architectures aim to achieve universality and fault-tolerance. This paper develops a framework for photonic quantum computing by bringing together linear optics, ZX calculus, and dataflow programming.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Photonics offers a promising platform for implementations of measurement-based quantum computing. Recently proposed fusion-based architectures aim to achieve universality and fault-tolerance. In these approaches, computation is carried out by performing fusion and single-qubit measurements on a resource graph state. The verification of these architectures requires linear algebraic, probabilistic, and control flow structures to be combined in a unified formal language. This paper develops a framework for photonic quantum computing by bringing together linear optics, ZX calculus, and dataflow programming. We characterize fusion measurements that induce Pauli errors and show that they are correctable using a novel flow structure for fusion networks. We prove the correctness of new repeat-until-success protocols for the realization of arbitrary fusions and provide a graph-theoretic proof of universality for linear optics with entangled photon sources. The proposed framework paves the way for the development of compilation algorithms for photonic quantum computing.

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