Reliable Quantum Communications Based on Asymmetry in Distillation and Coding

The reliable provision of entangled qubits is an essential precondition in a variety of schemes for distributed quantum computing. This is challenged by multiple nuisances, such as errors during the transmission over quantum links, but also due to degradation of the entanglement over time due to dec...

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Main Authors: Lorenzo Valentini, Rene Bodker Christensen, Petar Popovski, Marco Chiani
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Transactions on Quantum Engineering
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Online Access:https://ieeexplore.ieee.org/document/10528897/
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author Lorenzo Valentini
Rene Bodker Christensen
Petar Popovski
Marco Chiani
author_facet Lorenzo Valentini
Rene Bodker Christensen
Petar Popovski
Marco Chiani
author_sort Lorenzo Valentini
collection DOAJ
description The reliable provision of entangled qubits is an essential precondition in a variety of schemes for distributed quantum computing. This is challenged by multiple nuisances, such as errors during the transmission over quantum links, but also due to degradation of the entanglement over time due to decoherence. The latter can be seen as a constraint on the latency of the quantum protocol, which brings the problem of quantum protocol design into the context of latency–reliability constraints. We address the problem through hybrid schemes that combine: indirect transmission based on teleportation and distillation, and direct transmission, based on quantum error correction (QEC). The intuition is that, at present, the quantum hardware offers low fidelity, which demands distillation; on the other hand, low latency can be obtained by QEC techniques. It is shown that, in the proposed framework, the distillation protocol gives rise to asymmetries that can be exploited by asymmetric quantum error correcting code, which sets the basis for unique hybrid distillation and coding design. Our results show that ad hoc asymmetric codes give, compared with conventional QEC, a performance boost and codeword size reduction both in a single-link and in a quantum network scenario.
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spelling doaj-art-7fb16323d75c4b27b3f28191bc7031c82025-01-28T00:02:32ZengIEEEIEEE Transactions on Quantum Engineering2689-18082024-01-01511310.1109/TQE.2024.339960910528897Reliable Quantum Communications Based on Asymmetry in Distillation and CodingLorenzo Valentini0https://orcid.org/0000-0002-8417-6454Rene Bodker Christensen1https://orcid.org/0000-0002-9209-3739Petar Popovski2https://orcid.org/0000-0001-6195-4797Marco Chiani3https://orcid.org/0000-0001-8782-8318CNIT/WiLab, DEI, University of Bologna, Bologna, ItalyDepartment of Mathematical Sciences, Aalborg University, Aalborg, DenmarkDepartment of Electronic Systems, Aalborg University, Aalborg, DenmarkCNIT/WiLab, DEI, University of Bologna, Bologna, ItalyThe reliable provision of entangled qubits is an essential precondition in a variety of schemes for distributed quantum computing. This is challenged by multiple nuisances, such as errors during the transmission over quantum links, but also due to degradation of the entanglement over time due to decoherence. The latter can be seen as a constraint on the latency of the quantum protocol, which brings the problem of quantum protocol design into the context of latency–reliability constraints. We address the problem through hybrid schemes that combine: indirect transmission based on teleportation and distillation, and direct transmission, based on quantum error correction (QEC). The intuition is that, at present, the quantum hardware offers low fidelity, which demands distillation; on the other hand, low latency can be obtained by QEC techniques. It is shown that, in the proposed framework, the distillation protocol gives rise to asymmetries that can be exploited by asymmetric quantum error correcting code, which sets the basis for unique hybrid distillation and coding design. Our results show that ad hoc asymmetric codes give, compared with conventional QEC, a performance boost and codeword size reduction both in a single-link and in a quantum network scenario.https://ieeexplore.ieee.org/document/10528897/Asymmetric channelsasymmetric quantum error correction (QEC)entanglementquantum communicationquantum distillation
spellingShingle Lorenzo Valentini
Rene Bodker Christensen
Petar Popovski
Marco Chiani
Reliable Quantum Communications Based on Asymmetry in Distillation and Coding
IEEE Transactions on Quantum Engineering
Asymmetric channels
asymmetric quantum error correction (QEC)
entanglement
quantum communication
quantum distillation
title Reliable Quantum Communications Based on Asymmetry in Distillation and Coding
title_full Reliable Quantum Communications Based on Asymmetry in Distillation and Coding
title_fullStr Reliable Quantum Communications Based on Asymmetry in Distillation and Coding
title_full_unstemmed Reliable Quantum Communications Based on Asymmetry in Distillation and Coding
title_short Reliable Quantum Communications Based on Asymmetry in Distillation and Coding
title_sort reliable quantum communications based on asymmetry in distillation and coding
topic Asymmetric channels
asymmetric quantum error correction (QEC)
entanglement
quantum communication
quantum distillation
url https://ieeexplore.ieee.org/document/10528897/
work_keys_str_mv AT lorenzovalentini reliablequantumcommunicationsbasedonasymmetryindistillationandcoding
AT renebodkerchristensen reliablequantumcommunicationsbasedonasymmetryindistillationandcoding
AT petarpopovski reliablequantumcommunicationsbasedonasymmetryindistillationandcoding
AT marcochiani reliablequantumcommunicationsbasedonasymmetryindistillationandcoding