About: Optimality of private quantum channels

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We addressed the question of optimality of private quantum channels. We have shown that the Shannon entropy of the classical key necessary to securely transfer the quantum information is lower bounded by the entropy exchange of the private quantum channel and the von Neumann entropy of the ciphertext state (0). Based on these bounds we have shown that decomposition of private quantum channels into orthogonal unitaries (if they exist) optimizes the entropy. For non-ancillary single-qubit PQC we have derived the optimal entropy for the arbitrary set of plaintexts. In particular, we have shown that except when the (closure of the) set of plaintexts contains all states, one bit key is sufficient. We characterized and analysed all the possible single-qubit private quantum channels for an arbitrary set of plaintexts. We addressed the question of optimality of private quantum channels. We have shown that the Shannon entropy of the classical key necessary to securely transfer the quantum information is lower bounded by the entropy exchange of the private quantum channel and the von Neumann entropy of the ciphertext state (0). Based on these bounds we have shown that decomposition of private quantum channels into orthogonal unitaries (if they exist) optimizes the entropy. For non-ancillary single-qubit PQC we have derived the optimal entropy for the arbitrary set of plaintexts. In particular, we have shown that except when the (closure of the) set of plaintexts contains all states, one bit key is sufficient. We characterized and analysed all the possible single-qubit private quantum channels for an arbitrary set of plaintexts. (en)
Title	Optimality of private quantum channels Optimality of private quantum channels (en)
skos:prefLabel	Optimality of private quantum channels Optimality of private quantum channels (en)
skos:notation	RIV/00216224:14330/07:00020331!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/04/1153), P(GP201/06/P338), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika	20
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Bouda, Jan Ziman, Mário
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Fakulta informatiky
http://linked.open...dnocenehoVysledku	439761
http://linked.open...ai/riv/idVysledku	RIV/00216224:14330/07:00020331
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quantum cryptography; cryptography; encryption; information (en)
http://linked.open.../riv/klicoveSlovo	quantum cryptography information cryptography encryption
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[A984DCA31838]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Quantum resources and primitives Quantum entanglement and cryptographic and computation primitives
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	40
http://linked.open...iv/tvurceVysledku	Bouda, Jan Ziman, Mário
http://linked.open...n/vavai/riv/zamer	Highly Parallel and Distributed Computing Systems
issn	0305-4470
number of pages	11 (xsd:int)
http://localhost/t...ganizacniJednotka	14330
is http://linked.open...avai/riv/vysledek of	Optimality of private quantum channels Optimality of private quantum channels Optimality of private quantum channels

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