Fidelity bounds for device-independent advantage distillation
Abstract It is known that advantage distillation (that is, information reconciliation using two-way communication) improves noise tolerances for quantum key distribution (QKD) setups. Two-way communication is hence also of interest in the device-independent case, where noise tolerance bounds for one...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2022-12-01
|
| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-022-00635-y |
| _version_ | 1811196650405756928 |
|---|---|
| author | Thomas A. Hahn Ernest Y.-Z. Tan |
| author_facet | Thomas A. Hahn Ernest Y.-Z. Tan |
| author_sort | Thomas A. Hahn |
| collection | DOAJ |
| description | Abstract It is known that advantage distillation (that is, information reconciliation using two-way communication) improves noise tolerances for quantum key distribution (QKD) setups. Two-way communication is hence also of interest in the device-independent case, where noise tolerance bounds for one-way error correction are currently too low to be experimentally feasible. Existing security proofs for the device-independent repetition-code protocol (the most prominent form of advantage distillation) rely on fidelity-related security conditions, but previous bounds on the fidelity were not tight. We improve on those results by developing an algorithm that returns arbitrarily tight lower bounds on the fidelity. Our results give insight on how strong the fidelity-related security conditions are, and could also be used to compute some lower bounds on one-way protocol keyrates. Finally, we conjecture a necessary security condition for the protocol studied in this work, that naturally complements the existing sufficient conditions. |
| first_indexed | 2024-04-12T01:02:33Z |
| format | Article |
| id | doaj.art-a484d371b36943cfa55f0b703f3e36cb |
| institution | Directory Open Access Journal |
| issn | 2056-6387 |
| language | English |
| last_indexed | 2024-04-12T01:02:33Z |
| publishDate | 2022-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj.art-a484d371b36943cfa55f0b703f3e36cb2022-12-22T03:54:25ZengNature Portfolionpj Quantum Information2056-63872022-12-018111110.1038/s41534-022-00635-yFidelity bounds for device-independent advantage distillationThomas A. Hahn0Ernest Y.-Z. Tan1Institute for Theoretical Physics, ETH ZürichInstitute for Theoretical Physics, ETH ZürichAbstract It is known that advantage distillation (that is, information reconciliation using two-way communication) improves noise tolerances for quantum key distribution (QKD) setups. Two-way communication is hence also of interest in the device-independent case, where noise tolerance bounds for one-way error correction are currently too low to be experimentally feasible. Existing security proofs for the device-independent repetition-code protocol (the most prominent form of advantage distillation) rely on fidelity-related security conditions, but previous bounds on the fidelity were not tight. We improve on those results by developing an algorithm that returns arbitrarily tight lower bounds on the fidelity. Our results give insight on how strong the fidelity-related security conditions are, and could also be used to compute some lower bounds on one-way protocol keyrates. Finally, we conjecture a necessary security condition for the protocol studied in this work, that naturally complements the existing sufficient conditions.https://doi.org/10.1038/s41534-022-00635-y |
| spellingShingle | Thomas A. Hahn Ernest Y.-Z. Tan Fidelity bounds for device-independent advantage distillation npj Quantum Information |
| title | Fidelity bounds for device-independent advantage distillation |
| title_full | Fidelity bounds for device-independent advantage distillation |
| title_fullStr | Fidelity bounds for device-independent advantage distillation |
| title_full_unstemmed | Fidelity bounds for device-independent advantage distillation |
| title_short | Fidelity bounds for device-independent advantage distillation |
| title_sort | fidelity bounds for device independent advantage distillation |
| url | https://doi.org/10.1038/s41534-022-00635-y |
| work_keys_str_mv | AT thomasahahn fidelityboundsfordeviceindependentadvantagedistillation AT ernestyztan fidelityboundsfordeviceindependentadvantagedistillation |