Feasibility of logical Bell state generation in memory assisted quantum networks

This study explores the feasibility of utilizing quantum error correction to generate and store logical Bell states in heralded quantum entanglement protocols, crucial for quantum repeater networks. Two lattice surgery-based protocols (local and nonlocal) are introduced to establish logical Bell sta...

Full description

Saved in:
Bibliographic Details
Main Authors: Vladlen Galetsky, Nilesh Vyas, Alberto Comin, Janis Nötzel
Format: Article
Language:English
Published: American Physical Society 2025-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/rsrk-c7yg
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849419020829196288
author Vladlen Galetsky
Nilesh Vyas
Alberto Comin
Janis Nötzel
author_facet Vladlen Galetsky
Nilesh Vyas
Alberto Comin
Janis Nötzel
author_sort Vladlen Galetsky
collection DOAJ
description This study explores the feasibility of utilizing quantum error correction to generate and store logical Bell states in heralded quantum entanglement protocols, crucial for quantum repeater networks. Two lattice surgery-based protocols (local and nonlocal) are introduced to establish logical Bell states between distant nodes using an intermediary node. We simulate the protocols using realistic experimental parameters, including ion trap memories, noisy optical channels, frequency conversion, and nondestructive detection of photonic qubits. The study evaluates rotated and planar surface codes alongside Bacon-Shor codes for small code distances (d=3,5) under depolarizing and physical noise models. Pseudothresholds are identified, with physical error rates above p_{err}∼10^{−3} offering no advantage over unencoded Bell states under depolarizing noise. Pseudo-thresholds are also reevaluated in terms of gate error rates p_{err_{H}}, p_{err_{CX}}, and p_{err_{M}}. For a distance of 1 km between the end node and the intermediary, an advantage over unencoded Bell-state heralded protocols requires reducing gate error rates by an order of magnitude (0.1p_{err_{H}}, 0.1p_{err_{CX}}, and 0.1p_{err_{M}}). These results highlight the need for significant hardware improvements to implement logical Bell state protocols with quantum memories. Additionally, the nonlocal protocol rate was analyzed achieving rates up to (32.53±1.53)Hz over distances of 1 to 80km between the end node and the intermediary node.
format Article
id doaj-art-1940a9f8fe3c40cfb0fdc32cbbb253f0
institution Kabale University
issn 2643-1564
language English
publishDate 2025-07-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-1940a9f8fe3c40cfb0fdc32cbbb253f02025-08-20T03:32:16ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-017303309010.1103/rsrk-c7ygFeasibility of logical Bell state generation in memory assisted quantum networksVladlen GaletskyNilesh VyasAlberto CominJanis NötzelThis study explores the feasibility of utilizing quantum error correction to generate and store logical Bell states in heralded quantum entanglement protocols, crucial for quantum repeater networks. Two lattice surgery-based protocols (local and nonlocal) are introduced to establish logical Bell states between distant nodes using an intermediary node. We simulate the protocols using realistic experimental parameters, including ion trap memories, noisy optical channels, frequency conversion, and nondestructive detection of photonic qubits. The study evaluates rotated and planar surface codes alongside Bacon-Shor codes for small code distances (d=3,5) under depolarizing and physical noise models. Pseudothresholds are identified, with physical error rates above p_{err}∼10^{−3} offering no advantage over unencoded Bell states under depolarizing noise. Pseudo-thresholds are also reevaluated in terms of gate error rates p_{err_{H}}, p_{err_{CX}}, and p_{err_{M}}. For a distance of 1 km between the end node and the intermediary, an advantage over unencoded Bell-state heralded protocols requires reducing gate error rates by an order of magnitude (0.1p_{err_{H}}, 0.1p_{err_{CX}}, and 0.1p_{err_{M}}). These results highlight the need for significant hardware improvements to implement logical Bell state protocols with quantum memories. Additionally, the nonlocal protocol rate was analyzed achieving rates up to (32.53±1.53)Hz over distances of 1 to 80km between the end node and the intermediary node.http://doi.org/10.1103/rsrk-c7yg
spellingShingle Vladlen Galetsky
Nilesh Vyas
Alberto Comin
Janis Nötzel
Feasibility of logical Bell state generation in memory assisted quantum networks
Physical Review Research
title Feasibility of logical Bell state generation in memory assisted quantum networks
title_full Feasibility of logical Bell state generation in memory assisted quantum networks
title_fullStr Feasibility of logical Bell state generation in memory assisted quantum networks
title_full_unstemmed Feasibility of logical Bell state generation in memory assisted quantum networks
title_short Feasibility of logical Bell state generation in memory assisted quantum networks
title_sort feasibility of logical bell state generation in memory assisted quantum networks
url http://doi.org/10.1103/rsrk-c7yg
work_keys_str_mv AT vladlengaletsky feasibilityoflogicalbellstategenerationinmemoryassistedquantumnetworks
AT nileshvyas feasibilityoflogicalbellstategenerationinmemoryassistedquantumnetworks
AT albertocomin feasibilityoflogicalbellstategenerationinmemoryassistedquantumnetworks
AT janisnotzel feasibilityoflogicalbellstategenerationinmemoryassistedquantumnetworks