Electromagnetic channel capacity for practical purposes
What is the maximum rate at which digital information can be communicated without error using electromagnetic signals, such as radio communication? According to Shannon theory this rate is the capacity of the communication channel, which is obtained by maximizing the mutual information between the c...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Nature Publishing Group
2015
|
| Online Access: | http://hdl.handle.net/1721.1/97600 https://orcid.org/0000-0002-6094-5861 |
| _version_ | 1811070487568056320 |
|---|---|
| author | Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo Shapiro, Jeffrey H. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo Shapiro, Jeffrey H. |
| author_sort | Giovannetti, Vittorio |
| collection | MIT |
| description | What is the maximum rate at which digital information can be communicated without error using electromagnetic signals, such as radio communication? According to Shannon theory this rate is the capacity of the communication channel, which is obtained by maximizing the mutual information between the channel's input and output. Shannon theory, however, has been developed within classical physics, whereas electromagnetic signals are, ultimately, quantum-mechanical entities. To account for this fact, the capacity must be expressed in terms of a complicated optimization of the Holevo information, but explicit solutions are still unknown for arguably the most elementary electromagnetic channel, the one degraded by additive thermal noise. We place bounds on the thermal channel's Holevo information that determine the capacity up to corrections that are insignificant for practical scenarios such as those with high noise or low transmissivity. Our results apply to any bosonic thermal-noise channel, including electromagnetic signalling at any frequency. |
| first_indexed | 2024-09-23T08:36:49Z |
| format | Article |
| id | mit-1721.1/97600 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:36:49Z |
| publishDate | 2015 |
| publisher | Nature Publishing Group |
| record_format | dspace |
| spelling | mit-1721.1/976002022-09-23T13:15:35Z Electromagnetic channel capacity for practical purposes Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo Shapiro, Jeffrey H. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Research Laboratory of Electronics Lloyd, Seth Shapiro, Jeffrey H. What is the maximum rate at which digital information can be communicated without error using electromagnetic signals, such as radio communication? According to Shannon theory this rate is the capacity of the communication channel, which is obtained by maximizing the mutual information between the channel's input and output. Shannon theory, however, has been developed within classical physics, whereas electromagnetic signals are, ultimately, quantum-mechanical entities. To account for this fact, the capacity must be expressed in terms of a complicated optimization of the Holevo information, but explicit solutions are still unknown for arguably the most elementary electromagnetic channel, the one degraded by additive thermal noise. We place bounds on the thermal channel's Holevo information that determine the capacity up to corrections that are insignificant for practical scenarios such as those with high noise or low transmissivity. Our results apply to any bosonic thermal-noise channel, including electromagnetic signalling at any frequency. United States. Office of Naval Research (Basic Research Challenge Grant) 2015-07-01T15:14:25Z 2015-07-01T15:14:25Z 2013-08 2012-10 Article http://purl.org/eprint/type/JournalArticle 1749-4885 1749-4893 http://hdl.handle.net/1721.1/97600 Giovannetti, Vittorio, Seth Lloyd, Lorenzo Maccone, and Jeffrey H. Shapiro. “Electromagnetic Channel Capacity for Practical Purposes.” Nature Photon 7, no. 10 (August 11, 2013): 834–838. https://orcid.org/0000-0002-6094-5861 en_US http://dx.doi.org/10.1038/nphoton.2013.193 Nature Photonics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Nature Publishing Group arXiv |
| spellingShingle | Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo Shapiro, Jeffrey H. Electromagnetic channel capacity for practical purposes |
| title | Electromagnetic channel capacity for practical purposes |
| title_full | Electromagnetic channel capacity for practical purposes |
| title_fullStr | Electromagnetic channel capacity for practical purposes |
| title_full_unstemmed | Electromagnetic channel capacity for practical purposes |
| title_short | Electromagnetic channel capacity for practical purposes |
| title_sort | electromagnetic channel capacity for practical purposes |
| url | http://hdl.handle.net/1721.1/97600 https://orcid.org/0000-0002-6094-5861 |
| work_keys_str_mv | AT giovannettivittorio electromagneticchannelcapacityforpracticalpurposes AT lloydseth electromagneticchannelcapacityforpracticalpurposes AT macconelorenzo electromagneticchannelcapacityforpracticalpurposes AT shapirojeffreyh electromagneticchannelcapacityforpracticalpurposes |