Deterministic generation of multidimensional photonic cluster states using time-delay feedback

TL;DR

This paper introduces a deterministic protocol for generating multidimensional photonic cluster states using a single atom-cavity system with time-delay feedback, advancing quantum computing capabilities.

Contribution

It presents a novel method to produce high-dimensional cluster states deterministically, with a diagrammatic tensor network approach and analysis of experimental imperfections.

Findings

Dimensionality increases linearly with time-delay feedback.

Optimal atom-cavity cooperativity enhances fidelity.

Method bridges theoretical models and experimental errors.

Abstract

Cluster states are useful in many quantum information processing applications. In particular, universal measurement-based quantum computation (MBQC) utilizes 2D cluster states, and topologically fault-tolerant MBQC requires cluster states with three or higher dimensions. This work proposes a protocol to deterministically generate multidimensional photonic cluster states using a single atom-cavity system and time-delay feedback. The dimensionality of the cluster state increases linearly with the number of time-delay feedback. We firstly give a diagrammatic derivation of the tensor network states, which is valuable in simulating matrix product states and projected entangled pair states generated from sequential photons. Our method also provides a simple way to bridge and analyze the experimental imperfections and the logical errors of the generated states. In this method, we analyze the generated cluster states under realistic experimental conditions and address both one-qubit and two-qubit errors. Through numerical simulation, we observe an optimal atom-cavity cooperativity for the fidelity of the generated states, which is surprising given the prevailing assumption that higher cooperativity systems are inherently better for photonic applications.