Complementarity of Private and Correctable Subsystems in Quantum Cryptography and Error Correction

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dc.creatorKretschmann, Dennis
dc.creatorKribs, David W.
dc.creatorSpekkens, Robert W.
dc.date2007-11-21
dc.date.accessioned2026-07-07T10:05:29Z
dc.date.available2026-07-07T10:05:29Z
dc.descriptionWe make an explicit connection between fundamental notions in quantum cryptography and quantum error correction. Error-correcting subsystems (and subspaces) for quantum channels are the key vehicles for contending with noise in physical implementations of quantum information-processing. Private subsystems (and subspaces) for quantum channels play a central role in cryptographic schemes such as quantum secret sharing and private quantum communication. We show that a subsystem is private for a channel precisely when it is correctable for a complementary channel. This result is shown to hold even for approximate notions of private and correctable defined in terms of the diamond norm for superoperators.
dc.description5 pages, 2 figures, preprint version
dc.identifierhttps://arxiv.org/abs/0711.3438
dc.identifierhttp://arxiv.org/abs/0711.3438
dc.identifierPhys. Rev. A 78, 032330 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.032330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170024
dc.subjectQuantum Physics
dc.titleComplementarity of Private and Correctable Subsystems in Quantum Cryptography and Error Correction
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