Rate limits in quantum networks with lossy repeaters
The derivation of ultimate limits to communication over certain quantum repeater networks have provided extremely valuable benchmarks for assessing near-term quantum communication protocols. However, these bounds are usually derived in the limit of ideal devices and leave questions about the perform...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.023158 |
| _version_ | 1797210737660133376 |
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| author | Riccardo Laurenza Nathan Walk Jens Eisert Stefano Pirandola |
| author_facet | Riccardo Laurenza Nathan Walk Jens Eisert Stefano Pirandola |
| author_sort | Riccardo Laurenza |
| collection | DOAJ |
| description | The derivation of ultimate limits to communication over certain quantum repeater networks have provided extremely valuable benchmarks for assessing near-term quantum communication protocols. However, these bounds are usually derived in the limit of ideal devices and leave questions about the performance of practical implementations unanswered. To address this challenge, we quantify how the presence of loss in repeater stations affect the maximum attainable rates for quantum communication over linear repeater chains and more complex quantum networks. Extending the framework of node splitting, we model the loss introduced at the repeater stations and then prove the corresponding limits. In the linear chain scenario we show that, by increasing the number of repeater stations, the maximum rate cannot overcome a quantity, which solely depends on the loss of a single station. We introduce a way of adapting the standard machinery for obtaining bounds to this realistic scenario. The difference is that whilst ultimate limits for any strategy can be derived given a fixed channel, when the repeaters introduce additional decoherence, then the effective overall channel is itself a function of the chosen repeater strategy (e.g., one-way versus two-way classical communication). Classes of repeater strategies can be analysed using additional modeling and the subsequent bounds can be interpreted as the optimal rate within that class. |
| first_indexed | 2024-04-24T10:15:21Z |
| format | Article |
| id | doaj.art-92775aba511c46e38816e61f61916fa2 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:21Z |
| publishDate | 2022-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-92775aba511c46e38816e61f61916fa22024-04-12T17:21:24ZengAmerican Physical SocietyPhysical Review Research2643-15642022-05-014202315810.1103/PhysRevResearch.4.023158Rate limits in quantum networks with lossy repeatersRiccardo LaurenzaNathan WalkJens EisertStefano PirandolaThe derivation of ultimate limits to communication over certain quantum repeater networks have provided extremely valuable benchmarks for assessing near-term quantum communication protocols. However, these bounds are usually derived in the limit of ideal devices and leave questions about the performance of practical implementations unanswered. To address this challenge, we quantify how the presence of loss in repeater stations affect the maximum attainable rates for quantum communication over linear repeater chains and more complex quantum networks. Extending the framework of node splitting, we model the loss introduced at the repeater stations and then prove the corresponding limits. In the linear chain scenario we show that, by increasing the number of repeater stations, the maximum rate cannot overcome a quantity, which solely depends on the loss of a single station. We introduce a way of adapting the standard machinery for obtaining bounds to this realistic scenario. The difference is that whilst ultimate limits for any strategy can be derived given a fixed channel, when the repeaters introduce additional decoherence, then the effective overall channel is itself a function of the chosen repeater strategy (e.g., one-way versus two-way classical communication). Classes of repeater strategies can be analysed using additional modeling and the subsequent bounds can be interpreted as the optimal rate within that class.http://doi.org/10.1103/PhysRevResearch.4.023158 |
| spellingShingle | Riccardo Laurenza Nathan Walk Jens Eisert Stefano Pirandola Rate limits in quantum networks with lossy repeaters Physical Review Research |
| title | Rate limits in quantum networks with lossy repeaters |
| title_full | Rate limits in quantum networks with lossy repeaters |
| title_fullStr | Rate limits in quantum networks with lossy repeaters |
| title_full_unstemmed | Rate limits in quantum networks with lossy repeaters |
| title_short | Rate limits in quantum networks with lossy repeaters |
| title_sort | rate limits in quantum networks with lossy repeaters |
| url | http://doi.org/10.1103/PhysRevResearch.4.023158 |
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