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Noisy Processing and Distillation of Private Quantum States

Renes, Joseph M. and Smith, Graeme (2007) Noisy Processing and Distillation of Private Quantum States. Physical Review Letters, 98 (2). Art. No. 020502. ISSN 0031-9007. doi:10.1103/PhysRevLett.98.020502.

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We provide a simple security proof for prepare and measure quantum key distribution protocols employing noisy processing and one-way postprocessing of the key. This is achieved by showing that the security of such a protocol is equivalent to that of an associated key distribution protocol in which, instead of the usual maximally entangled states, a more general private state is distilled. In addition to a more general target state, the usual entanglement distillation tools are employed (in particular, Calderbank-Shor-Steane–like codes), with the crucial difference that noisy processing allows some phase errors to be left uncorrected without compromising the privacy of the key.

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Additional Information:©2007 The American Physical Society. (Received 28 March 2006; published 9 January 2007) We thank D. Leung, G.O. Myhr, G. Nikolopoulos, R. Renner, and B. Toner for helpful discussions. This work was initiated at the University of Queensland, and we are grateful to M. Nielsen for his hospitality. J.M.R. was supported by the Alexander von Humboldt foundation and the European IST project SECOQC, and G.S. by NSF Grant No. PHY-0456720 and Canada’s NSERC.
Issue or Number:2
Record Number:CaltechAUTHORS:RENprl07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7170
Deposited By: Archive Administrator
Deposited On:12 Jan 2007
Last Modified:08 Nov 2021 20:40

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