Generalized form of optimal teleportation witnesses

Generalized form of optimal teleportation witnesses

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时间:2019-07-31

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1、QuantumInfProcess(2013)12:24752485DOI10.1007/s11128-013-0539-3GeneralizedformofoptimalteleportationwitnessesAtulKumar·SatyabrataAdhikari·PankajAgrawalReceived:28September2012/Accepted:30January2013/Publishedonline:22February2013©SpringerScience+BusinessMediaNewYork2013Abst

2、ractWeproposeageneralizedformofoptimalteleportationwitnesstodemon-stratetheirimportanceinexperimentaldetectionofthelargersetofentangledstatesusefulforteleportationinhigherdimensionalsystems.Theinterestingpropertiesofourwitnessrevealthatteleportationwitnesscanbeusedtocharac

3、terizemixedstateentanglementusingSchmidtnumbers.Ourresultsshowthatwhileeveryteleportationwitnessisalsoaentanglementwitness,theconverseisnottrue.Also,weshowthatahermitianoperatorisateleportationwitnessiffitisadecomposableentanglementwitness.Inaddition,weanalyzethepracticals

4、ignificanceofourstudybydecompos-ingourteleportationwitnessintermsofPauliandGell-Mannmatrices,whichareexperimentallymeasurablequantities.1IntroductionQuantumentanglement[1,2]isanessentialfeatureofquantummechanicswhichhasnoclassicalanalogues.Theexistenceoflongrangequantumcorr

5、elationsbetweenentangledparticlesallowstheuseofentangledsystemsasresourcesforefficientinfor-mationtransferthroughprotocolssuchasquantumcomputing[3],cryptography[4],teleportation[5,6]anddensecoding[7,8].Althoughentangledstatesareusedforvarioustheoreticalapplicationsinquantum

6、informationprocessing,thepracticaluseofanentangledresourceisrestrictedtothesuccessfulexperimentalrealizationoftheresource.Inrealexperimentalset-ups,itisalwaysachallengetocreateanddetectA.Kumar(B)·S.AdhikariCentreofExcellenceinSystemsScience,IndianInstituteofTechnology,Jodh

7、pur342011,Rajasthan,Indiae-mail:atulk@iitj.ac.inP.AgrawalInstituteofPhysics,SainikSchoolPost,Bhubaneshwar751005,Orissa,India1232476A.Kumaretal.entangledstates.Also,thepreparedentangledchannelmaynotberobustenoughtopreservethenecessaryquantumcorrelationsandthusmayormaynotbee

8、ntangled.Hence,successfulgenerationanddetectionofentanglementareessentialfeaturesinanyqua

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