Brandão, Fernando G. S. L. and Oppenheim, Jonathan (2012) Quantum One-Time Pad in the Presence of an Eavesdropper. Physical Review Letters, 108 (4). Art. No. 040504. ISSN 0031-9007. doi:10.1103/PhysRevLett.108.040504. https://resolver.caltech.edu/CaltechAUTHORS:20160607-101711780
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Abstract
A classical one-time pad allows two parties to send private messages over a public classical channel—an eavesdropper who intercepts the communication learns nothing about the message. A quantum one-time pad is a shared quantum state which allows two parties to send private messages or private quantum states over a public quantum channel. If the eavesdropper intercepts the quantum communication she learns nothing about the message. In the classical case, a one-time pad can be created using shared and partially private correlations. Here we consider the quantum case in the presence of an eavesdropper, and find the single-letter formula for the rate at which the two parties can send messages using a general quantum state as a quantum one-time pad. Surprisingly, the formula coincides with the distillable entanglement assisted by a symmetric channel, an important quantity in quantum information theory, but which lacked a clear operational meaning.
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| Additional Information: | © 2012 American Physical Society. (Received 10 May 2010; revised manuscript received 28 July 2011; published 27 January 2012) F. B. is supported by a fellowship “Conhecimento Novo” from Fundação de Amparo a Pesquisa do Estado de Minas Gerais (FAPEMIG). J. O. is supported by the Royal Society, and National Science Foundation under Grant No. PHY05-51164 during his stay at KITP. | |||||||||
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| Issue or Number: | 4 | |||||||||
| Classification Code: | PACS numbers: 03.67.Dd, 03.67.Hk | |||||||||
| DOI: | 10.1103/PhysRevLett.108.040504 | |||||||||
| Record Number: | CaltechAUTHORS:20160607-101711780 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160607-101711780 | |||||||||
| Official Citation: | Quantum One-Time Pad in the Presence of an Eavesdropper Fernando G. S. L. Brandão and Jonathan Oppenheim Phys. Rev. Lett. 108, 040504 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 67717 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 07 Jun 2016 17:46 | |||||||||
| Last Modified: | 11 Nov 2021 03:53 |
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