Quantum privacy amplification and the security of quantum cryptography over noisy channels

Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the resulting schemes are difficult to analyse and have not bee...

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Main Authors: Deutsch, D, Ekert, A, Jozsa, R, Macchiavello, C, Popescu, S, Sanpera, A
Format: Journal article
Published: 1996
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author Deutsch, D
Ekert, A
Jozsa, R
Macchiavello, C
Popescu, S
Sanpera, A
author_facet Deutsch, D
Ekert, A
Jozsa, R
Macchiavello, C
Popescu, S
Sanpera, A
author_sort Deutsch, D
collection OXFORD
description Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the resulting schemes are difficult to analyse and have not been proved secure. We introduce the concept of quantum privacy amplification and a cryptographic scheme incorporating it which is provably secure over a noisy channel. The scheme uses an `entanglement purification' procedure which, because it requires only a few quantum Controlled-Not and single-qubit operations, could be implemented using technology that is currently being developed. The scheme allows an arbitrarily small bound to be placed on the information that any eavesdropper may extract from the encrypted message.
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spelling oxford-uuid:56442adb-214a-49d1-8039-bdc4534e19c62022-03-26T16:49:12ZQuantum privacy amplification and the security of quantum cryptography over noisy channelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:56442adb-214a-49d1-8039-bdc4534e19c6Symplectic Elements at Oxford1996Deutsch, DEkert, AJozsa, RMacchiavello, CPopescu, SSanpera, AExisting quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the resulting schemes are difficult to analyse and have not been proved secure. We introduce the concept of quantum privacy amplification and a cryptographic scheme incorporating it which is provably secure over a noisy channel. The scheme uses an `entanglement purification' procedure which, because it requires only a few quantum Controlled-Not and single-qubit operations, could be implemented using technology that is currently being developed. The scheme allows an arbitrarily small bound to be placed on the information that any eavesdropper may extract from the encrypted message.
spellingShingle Deutsch, D
Ekert, A
Jozsa, R
Macchiavello, C
Popescu, S
Sanpera, A
Quantum privacy amplification and the security of quantum cryptography over noisy channels
title Quantum privacy amplification and the security of quantum cryptography over noisy channels
title_full Quantum privacy amplification and the security of quantum cryptography over noisy channels
title_fullStr Quantum privacy amplification and the security of quantum cryptography over noisy channels
title_full_unstemmed Quantum privacy amplification and the security of quantum cryptography over noisy channels
title_short Quantum privacy amplification and the security of quantum cryptography over noisy channels
title_sort quantum privacy amplification and the security of quantum cryptography over noisy channels
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