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The quantum one-time pad in the presence of an eavesdropper

Brand ao, FGSL; Oppenheim, J; (2012) The quantum one-time pad in the presence of an eavesdropper. Physical Review Letters , 108 (4) , Article 040504. 10.1103/PhysRevLett.108.040504. Green open access

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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.

Type: Article
Title: The quantum one-time pad in the presence of an eavesdropper
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.108.040504
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.108.040504
Language: English
Additional information: © 2012 American Physical Society
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/1362134
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