Quantum repeaters based on stationary and flying Gottesman-Kitaev-Preskill qudits

Fuente: arXiv
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Autori principali: Häussler, Stefan, van Loock, Peter
Natura: Preprint
Pubblicazione: 2025
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author Häussler, Stefan
van Loock, Peter
author_facet Häussler, Stefan
van Loock, Peter
contents There are various approaches to long-range quantum communication based on conceptually different forms of quantum repeaters. Here we explore a quantum repeater scheme that employs quantum error correction (QEC) both on the flying (light) qubits and on the stationary (matter) qubits. The idea is to combine the benefits of encoded one-way and two-way schemes where effective channel transmission and loss scaling are enhanced by means of photon loss codes and encoded quantum memories, respectively, while sacrificing some of their advantages such as high clock rates, independent of classical communication times (one-way), and potentially large segment lengths (two-way). More specifically, we illustrate, propose, and analyze such a quantum repeater using the bosonic Gottesman-Kitaev-Preskill (GKP) code which naturally enables encoding and QEC of qudits, protecting them against transmission and memory loss, the latter, for instance, occuring on collective spin modes of atomic ensembles. While the encoded one-way and two-way schemes on their own either require very high repeater link coupling efficiencies and GKP squeezing or allow for experimentally more feasible, small values of these parameters, respectively, we find that there are intermediate parameter regimes where the combined repeater protocol is superior.
format Preprint
id arxiv_https___arxiv_org_abs_2508_00530
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum repeaters based on stationary and flying Gottesman-Kitaev-Preskill qudits
Häussler, Stefan
van Loock, Peter
Quantum Physics
There are various approaches to long-range quantum communication based on conceptually different forms of quantum repeaters. Here we explore a quantum repeater scheme that employs quantum error correction (QEC) both on the flying (light) qubits and on the stationary (matter) qubits. The idea is to combine the benefits of encoded one-way and two-way schemes where effective channel transmission and loss scaling are enhanced by means of photon loss codes and encoded quantum memories, respectively, while sacrificing some of their advantages such as high clock rates, independent of classical communication times (one-way), and potentially large segment lengths (two-way). More specifically, we illustrate, propose, and analyze such a quantum repeater using the bosonic Gottesman-Kitaev-Preskill (GKP) code which naturally enables encoding and QEC of qudits, protecting them against transmission and memory loss, the latter, for instance, occuring on collective spin modes of atomic ensembles. While the encoded one-way and two-way schemes on their own either require very high repeater link coupling efficiencies and GKP squeezing or allow for experimentally more feasible, small values of these parameters, respectively, we find that there are intermediate parameter regimes where the combined repeater protocol is superior.
title Quantum repeaters based on stationary and flying Gottesman-Kitaev-Preskill qudits
topic Quantum Physics
url https://arxiv.org/abs/2508.00530