Improving the lower bound to the secret-key capacity of the thermal amplifier channel
We consider the noisy thermal amplifier channel, where signal modes are amplified together with environmental thermal modes. We focus on the secret-key capacity of this channel, which is the maximum amount of secret bits that two remote parties can generate by means of the most general adaptive prot...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer-Verlag
2019
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| Online Access: | http://hdl.handle.net/1721.1/120469 |
| _version_ | 1811093224099414016 |
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| author | Wang, Gan Ottaviani, Carlo Guo, Hong Pirandola, Stefano |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Wang, Gan Ottaviani, Carlo Guo, Hong Pirandola, Stefano |
| author_sort | Wang, Gan |
| collection | MIT |
| description | We consider the noisy thermal amplifier channel, where signal modes are amplified together with environmental thermal modes. We focus on the secret-key capacity of this channel, which is the maximum amount of secret bits that two remote parties can generate by means of the most general adaptive protocol, assisted by unlimited and two-way classical communication. For this channel only upper and lower bounds are known, and in this work we improve the lower bound. We consider a protocol based on squeezed states and homodyne detections, in both direct and reverse reconciliation. In particular, we assume that trusted thermal noise is mixed on beam splitters controlled by the parties in a way to assist their homodyne detections. The new improved lower bounds to the secret-key capacity are obtained by optimizing the key rates over the variance of the trusted noise injected, and the transmissivity of the parties’ beam splitters. Our results confirm that there is a separation between the coherent information of the thermal amplifier channel and its secret key capacity. |
| first_indexed | 2024-09-23T15:41:38Z |
| format | Article |
| id | mit-1721.1/120469 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:41:38Z |
| publishDate | 2019 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1204692022-09-29T15:33:41Z Improving the lower bound to the secret-key capacity of the thermal amplifier channel Wang, Gan Ottaviani, Carlo Guo, Hong Pirandola, Stefano Massachusetts Institute of Technology. Research Laboratory of Electronics Pirandola, Stefano We consider the noisy thermal amplifier channel, where signal modes are amplified together with environmental thermal modes. We focus on the secret-key capacity of this channel, which is the maximum amount of secret bits that two remote parties can generate by means of the most general adaptive protocol, assisted by unlimited and two-way classical communication. For this channel only upper and lower bounds are known, and in this work we improve the lower bound. We consider a protocol based on squeezed states and homodyne detections, in both direct and reverse reconciliation. In particular, we assume that trusted thermal noise is mixed on beam splitters controlled by the parties in a way to assist their homodyne detections. The new improved lower bounds to the secret-key capacity are obtained by optimizing the key rates over the variance of the trusted noise injected, and the transmissivity of the parties’ beam splitters. Our results confirm that there is a separation between the coherent information of the thermal amplifier channel and its secret key capacity. 2019-02-15T20:13:47Z 2019-02-15T20:13:47Z 2019-01 2018-07 2019-01-18T04:56:08Z Article http://purl.org/eprint/type/JournalArticle 1434-6060 1434-6079 http://hdl.handle.net/1721.1/120469 Wang, Gan et al. "Improving the lower bound to the secret-key capacity of the thermal amplifier channel." European Physical Journal D January 2019, 73 (January 2019): 17 © 2019 The Author(s) en https://doi.org/10.1140/epjd/e2018-90351-0 European Physical Journal D Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer-Verlag Springer Berlin Heidelberg |
| spellingShingle | Wang, Gan Ottaviani, Carlo Guo, Hong Pirandola, Stefano Improving the lower bound to the secret-key capacity of the thermal amplifier channel |
| title | Improving the lower bound to the secret-key capacity of the thermal amplifier channel |
| title_full | Improving the lower bound to the secret-key capacity of the thermal amplifier channel |
| title_fullStr | Improving the lower bound to the secret-key capacity of the thermal amplifier channel |
| title_full_unstemmed | Improving the lower bound to the secret-key capacity of the thermal amplifier channel |
| title_short | Improving the lower bound to the secret-key capacity of the thermal amplifier channel |
| title_sort | improving the lower bound to the secret key capacity of the thermal amplifier channel |
| url | http://hdl.handle.net/1721.1/120469 |
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