Loss-tolerant all-photonic quantum repeater with generalized Shor code

TL;DR

This paper introduces a loss-tolerant all-photonic quantum repeater scheme using the generalized Shor code, enhancing robustness against photon loss for long-distance quantum communication.

Contribution

It proposes a novel loss-tolerance method for APQR by applying the generalized Shor code, with experimental verification of the nine-qubit Shor code and the encoded RGS.

Findings

Successful preparation and verification of the nine-qubit Shor code

Experimental demonstration of loss tolerance in the encoded RGS

Advancement toward practical all-photonic quantum repeaters

Abstract

The all-photonic quantum repeater (APQR) is a promising repeater scheme to realize long-distance quantum communication. For a practical APQR, an indispensable requirement is the robustness of the repeater graph state (RGS) against photon loss. We propose a new loss-tolerant scheme by applying the generalized Shor code to RGS, which can be experimentally demonstrated with current technology. Experimentally, we first prepare and verify the nine-qubit Shor code. Then, by applying the generalized Shor code to APQR and preparing a simplified encoded RGS with the structure of $1\times2$ based on the Shor code state, the effectiveness of our loss-tolerant scheme and the loss tolerance of the encoded RGS are respectively verified. Our results make an essential step toward a practical APQR and enrich the research of quantum error correction code.