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Security of continuous-variable quantum key distribution against general attacks

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Title Security of continuous-variable quantum key distribution against general attacks
Title of Series The Annual Conference on Quantum Cryptography (QCRYPT) 2012
Number of Parts 30
Author Leverrier, Anthony
Contributors Centre for Quantum Technologies (CQT)
National University of Singapore (NUS)
License CC Attribution - NonCommercial - NoDerivatives 2.5 Switzerland:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
DOI 10.5446/36678
Publisher Eidgenössische Technische Hochschule (ETH) Zürich
Release Date 2012
Language English

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Subject Area Information technology
Abstract We prove that Gaussian continuous-variable quantum key distribution protocols, using a Gaussian distribution of coherent or squeezed states and homodyne or heterodyne measurement, are secure against arbitrary attacks. Our proof exploits the specific symmetries in phase-space of Gaussian QKD protocols to prove that once a simple test over the measurement outcomes succeeds, the global state shared between Alice and Bob is well decribed by assigning a low dimensional Hilbert space to each mode. Then one can use the postselection technique introduced by Christandl, Koenig and Renner for discrete-variable protocols to conclude. Our result greatly improves over previous ones using either a de Finetti theorem or an entropic uncertainty principle which could not be applied to prove the security of protocols in realistic experimental implementations.

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