Maximal Privacy without Coherence
Privacy is a fundamental feature of quantum mechanics. A coherently transmitted quantum state is inherently private. Remarkably, coherent quantum communication is not a prerequisite for privacy: there are quantum channels that are too noisy to transmit any quantum information reliably that can never...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88610 https://orcid.org/0000-0002-3944-8449 |
| _version_ | 1826189332691550208 |
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| author | Leung, Debbie W. Li, Ke Smith, Graeme Smolin, John A. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Leung, Debbie W. Li, Ke Smith, Graeme Smolin, John A. |
| author_sort | Leung, Debbie W. |
| collection | MIT |
| description | Privacy is a fundamental feature of quantum mechanics. A coherently transmitted quantum state is inherently private. Remarkably, coherent quantum communication is not a prerequisite for privacy: there are quantum channels that are too noisy to transmit any quantum information reliably that can nevertheless send private classical information. Here, we ask how much private classical information a channel can transmit if it has little quantum capacity. We present a class of channels N[subscript d] with input dimension d[superscript 2], quantum capacity Q(N[subscript d]) ≤ 1, and private capacity P(N[subscript d])= log d. These channels asymptotically saturate an interesting inequality P(N) ≤ (1/2)[log d[subscript A] + Q(N)] for any channel N with input dimension d[subscript A] and capture the essence of privacy stripped of the confounding influence of coherence. |
| first_indexed | 2024-09-23T08:13:07Z |
| format | Article |
| id | mit-1721.1/88610 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:13:07Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/886102022-09-30T08:21:15Z Maximal Privacy without Coherence Leung, Debbie W. Li, Ke Smith, Graeme Smolin, John A. Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Li, Ke Privacy is a fundamental feature of quantum mechanics. A coherently transmitted quantum state is inherently private. Remarkably, coherent quantum communication is not a prerequisite for privacy: there are quantum channels that are too noisy to transmit any quantum information reliably that can nevertheless send private classical information. Here, we ask how much private classical information a channel can transmit if it has little quantum capacity. We present a class of channels N[subscript d] with input dimension d[superscript 2], quantum capacity Q(N[subscript d]) ≤ 1, and private capacity P(N[subscript d])= log d. These channels asymptotically saturate an interesting inequality P(N) ≤ (1/2)[log d[subscript A] + Q(N)] for any channel N with input dimension d[subscript A] and capture the essence of privacy stripped of the confounding influence of coherence. National Science Foundation (U.S.) (Grant CCF-1110961) National Science Foundation (U.S.) (Grant CCF-1111382) 2014-08-08T14:35:39Z 2014-08-08T14:35:39Z 2014-07 2014-02 2014-07-23T20:46:55Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/88610 Leung, Debbie, Ke Li, Graeme Smith, and John A. Smolin. "Maximal Privacy without Coherence." Phys. Rev. Lett. 113, 030502 (July 2014). © 2014 American Physical Society https://orcid.org/0000-0002-3944-8449 en http://dx.doi.org/10.1103/PhysRevLett.113.030502 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Leung, Debbie W. Li, Ke Smith, Graeme Smolin, John A. Maximal Privacy without Coherence |
| title | Maximal Privacy without Coherence |
| title_full | Maximal Privacy without Coherence |
| title_fullStr | Maximal Privacy without Coherence |
| title_full_unstemmed | Maximal Privacy without Coherence |
| title_short | Maximal Privacy without Coherence |
| title_sort | maximal privacy without coherence |
| url | http://hdl.handle.net/1721.1/88610 https://orcid.org/0000-0002-3944-8449 |
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