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1、QuantuminformationprocessingwithnoisyclusterstatesM.S.Tame1,M.Paternostro1,M.S.Kim1,V.Vedral2,31SchoolofMathematicsandPhysics,TheQueen’sUniversity,Belfast,BT71NN,UKand2InstituteofExperimentalPhysics,UniversityofVienna,Boltzmanngasse5,1090Vienna,Austria3TheSchoolo
2、fPhysicsandAstronomy,UniversityofLeeds,Leeds,LS29JT,UK(Dated:February1,2008)Weprovideananalysisofbasicquantuminformationprocessingprotocolsunderthee?ectofintrinsicnon-idealitiesinclusterstates.Thesenon-idealitiesarebasedontheintroductionofran-domnessintheentangli
3、ngstepsthatcreatetheclusterstateandaremotivatedbytheunavoidableimperfectionsfacedincreatingentanglementusingcondensed-mattersystems.Aidedbytheuseofanalternativeandverye?cientmethodtoconstructclusterstatecon?gurations,whichreliesontheconcatenationoffundamentalclus
4、terstructures,weaddressquantumstatetransferandvariousfundamentalgatesimulationsthroughnoisyclusterstates.We?ndthatawinningstrategytolimitthee?ectsofnoise,isthemanagementofsmallclustersprocessedviajustafewmeasurements.Ourstudyalsoreinforcesrecentideasrelatedtotheo
5、pticalimplementationofaone-wayquantumcomputer.PACSnumbers:03.67.Lx,03.67.Mn,42.50.DvI.INTRODUCTIONexposedtorealisticsourcesofnon-ideality[13].Severalimportantresultswerepresented,whichshowedhowthee?ectivenessofsimulationsarea?ectedbyrandomnessTheone-wayquantumcom
6、puter(QCC)[1,2]isanintroducedintothestructureoftheclusterstatebeingintriguingmodelforquantumcomputation(QC)whichused.ThisledustosearchforschemesofclusterstaterepresentsanalternativeviewpointfromthecanonicalQCbasedontheuseofsmallerclustercon?gurationsquantumcircui
7、tmodel[3].TheideabehindQCCschemesthanoriginallydevised[1].Inthispaperweanalyzeisthatsingle-qubitrotationsandtwo-qubitentanglingthee?ectsofthemodelfornoiseonvariouskeyQIPoperationscanbee?ectivelysimulatedbytheuseofanprotocols,whileatthesametimeusingaconcatenatione
8、ntangledresource,theso-calledclusterstate[4]sharedtechniquefortheconstructionofcompactcon?gurationsbyagroupofqubits.QuantumInformationProcess-forclusterstateQC
