Superadditivity in Trade-Off Capacities of Quantum Channels
© 2018 IEEE. We investigate the additivity phenomenon in the dynamic capacity of a quantum channel for trading the resources of classical communication, quantum communication, and entanglement. Understanding such an additivity property is important if we want to optimally use a quantum channel for g...
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| Format: | Article |
| Language: | English |
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Institute of Electrical and Electronics Engineers (IEEE)
2020
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| Online Access: | https://hdl.handle.net/1721.1/126738 |
| _version_ | 1826210936228151296 |
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| author | Zhu, Elton Yechao. Zhuang, Quntao Shor, Peter Williston |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Zhu, Elton Yechao. Zhuang, Quntao Shor, Peter Williston |
| author_sort | Zhu, Elton Yechao. |
| collection | MIT |
| description | © 2018 IEEE. We investigate the additivity phenomenon in the dynamic capacity of a quantum channel for trading the resources of classical communication, quantum communication, and entanglement. Understanding such an additivity property is important if we want to optimally use a quantum channel for general communication purposes. However, in a lot of cases, the channel one will be using only has an additive single or double resource capacity, and it is largely unknown if this could lead to an superadditive double or triple resource capacity, respectively. For example, if a channel has an additive classical and quantum capacity, can the classical-quantum capacity be superadditive? In this work, we answer such questions affirmatively. We give proof-of-principle requirements for these channels to exist. In most cases, we can provide an explicit construction of these quantum channels. The existence of these superadditive phenomena is surprising in contrast to the result that the additivity of both classical-entanglement and classical-quantum capacity regions imply the additivity of the triple resource capacity region. |
| first_indexed | 2024-09-23T14:57:48Z |
| format | Article |
| id | mit-1721.1/126738 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:57:48Z |
| publishDate | 2020 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1267382022-10-01T23:38:33Z Superadditivity in Trade-Off Capacities of Quantum Channels Zhu, Elton Yechao. Zhuang, Quntao Shor, Peter Williston Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Department of Mathematics © 2018 IEEE. We investigate the additivity phenomenon in the dynamic capacity of a quantum channel for trading the resources of classical communication, quantum communication, and entanglement. Understanding such an additivity property is important if we want to optimally use a quantum channel for general communication purposes. However, in a lot of cases, the channel one will be using only has an additive single or double resource capacity, and it is largely unknown if this could lead to an superadditive double or triple resource capacity, respectively. For example, if a channel has an additive classical and quantum capacity, can the classical-quantum capacity be superadditive? In this work, we answer such questions affirmatively. We give proof-of-principle requirements for these channels to exist. In most cases, we can provide an explicit construction of these quantum channels. The existence of these superadditive phenomena is surprising in contrast to the result that the additivity of both classical-entanglement and classical-quantum capacity regions imply the additivity of the triple resource capacity region. 2020-08-24T14:10:43Z 2020-08-24T14:10:43Z 2018-12 2019-11-20T13:45:10Z Article http://purl.org/eprint/type/ConferencePaper 0018-9448 https://hdl.handle.net/1721.1/126738 Zhu, Elton Yechao et al. “Superadditivity in Trade-Off Capacities of Quantum Channels.” IEEE transactions on information theory, 65, 6 (June 2019): 3973 - 3989 © 2019 The Author(s) en 10.1109/ISIT.2018.8437934 IEEE transactions on information theory Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv |
| spellingShingle | Zhu, Elton Yechao. Zhuang, Quntao Shor, Peter Williston Superadditivity in Trade-Off Capacities of Quantum Channels |
| title | Superadditivity in Trade-Off Capacities of Quantum Channels |
| title_full | Superadditivity in Trade-Off Capacities of Quantum Channels |
| title_fullStr | Superadditivity in Trade-Off Capacities of Quantum Channels |
| title_full_unstemmed | Superadditivity in Trade-Off Capacities of Quantum Channels |
| title_short | Superadditivity in Trade-Off Capacities of Quantum Channels |
| title_sort | superadditivity in trade off capacities of quantum channels |
| url | https://hdl.handle.net/1721.1/126738 |
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