About: Concurrence versus purity: Influence of local channels on Bell states of two qubits

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We analyze how a maximally entangled state of two qubits (e.g., the singlet $psi_s$) is affected by the action of local channels described by completely positive maps $E$. We analyze the concurrence and the purity of states $rho_E=E \otimes I_psi_s$. Using the concurrence-versus-purity phase diagram we characterize local channels $E$ by their action on the singlet state $psi_s$. We specify a region of the concurrence-versus-purity diagram that is achievable from the singlet state via the action of unital channels. We show that even the most general (including nonunital) local channels acting just on a single qubit of the original singlet state cannot generate the maximally entangled mixed states. We study in detail various time evolutions of the original singlet state induced by local Markovian semigroups. We show that the decoherence process is represented in the concurrence-versus-purity diagram by a line that forms the lower bound of the achievable region for unital maps. We analyze how a maximally entangled state of two qubits (e.g., the singlet $psi_s$) is affected by the action of local channels described by completely positive maps $E$. We analyze the concurrence and the purity of states $rho_E=E \otimes I_psi_s$. Using the concurrence-versus-purity phase diagram we characterize local channels $E$ by their action on the singlet state $psi_s$. We specify a region of the concurrence-versus-purity diagram that is achievable from the singlet state via the action of unital channels. We show that even the most general (including nonunital) local channels acting just on a single qubit of the original singlet state cannot generate the maximally entangled mixed states. We study in detail various time evolutions of the original singlet state induced by local Markovian semigroups. We show that the decoherence process is represented in the concurrence-versus-purity diagram by a line that forms the lower bound of the achievable region for unital maps. (en)
Title	Concurrence versus purity: Influence of local channels on Bell states of two qubits Concurrence versus purity: Influence of local channels on Bell states of two qubits (en)
skos:prefLabel	Concurrence versus purity: Influence of local channels on Bell states of two qubits Concurrence versus purity: Influence of local channels on Bell states of two qubits (en)
skos:notation	RIV/00216224:14330/05:00013049!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/04/1153), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika	No. 5
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Ziman, Mário Bužek, Vladimír
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	516165
http://linked.open...ai/riv/idVysledku	RIV/00216224:14330/05:00013049
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	concurrence; entanglement; local dynamics; decoherence (en)
http://linked.open.../riv/klicoveSlovo	decoherence entanglement concurrence local dynamics
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[51B23E656B3B]
http://linked.open...i/riv/nazevZdroje	Physical Review A
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Quantum resources and primitives
http://linked.open...UplatneniVysledku	2005
http://linked.open...v/svazekPeriodika	Vol. 72
http://linked.open...iv/tvurceVysledku	Bužek, Vladimír Ziman, Mário
http://linked.open...ain/vavai/riv/wos	000233603400064
http://linked.open...n/vavai/riv/zamer	Highly Parallel and Distributed Computing Systems
issn	1050-2947
number of pages	9 (xsd:int)
http://localhost/t...ganizacniJednotka	14330

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