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基于最大和非最大纠缠信道一类三量子比特W态的远程制备方案(英文).docx

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基于最大和非最大纠缠信道一类三量子比特W态的远程制备方案(英文) Introduction: Quantumteleportationisapowerfultoolinquantuminformationsciencethatallowsforthetransferofquantumstatesbetweendistantpartieswiththehelpofentanglement.Remotestatepreparation,ontheotherhand,isatechniquethatenablestheremotegenerationofquantumstateswithoutphysicallysendingthestateitself. Theaimofthispaperistopresentaremotestatepreparationprotocolthatutilizesthemaximumandnon-maximallyentangledthree-qubitW-states.Theprotocolprovidesameanstoremotelyprepareanarbitrarysingle-qubitstatewhenthesenderandreceiversharenon-maximallyentangledW-statesandmaximallyentangledqubitsasaresource. MaximallyandNon-MaximallyEntangledW-states: AtriadofqubitsissaidtobeinaW-stateifthesuperpositionofthequbitssatisfiesthecondition: |W⟩=(|001⟩+|010⟩+|100⟩)/√3 ThisW-stateisatripartiteentangledstatethatviolatesBell'sinequalityandhasapplicationsinvariousquantuminformationprocessingtaskssuchasquantumteleportation,secretsharing,andstatepreparation. AmaximallyentangledW-statecanbepreparedbyapplyingacontrolled-NOT(CNOT)gatetoonequbitwiththeothertwoqubits,followedbyaHadamardgateandacontrolled-phaseshiftgate.However,anon-maximallyentangledW-statecanbepreparedbyapplyingapartialCNOTgate,whichentanglestwoqubitswhileallowingthethirdqubittohavesomefreedom. RemoteStatePreparationProtocol: Beforetheprotocolbegins,thesenderAliceandreceiverBobshareanon-maximallyentangledW-state.Alicealsohasanarbitrarysingle-qubitstate|β⟩thatshewishestoremotelyprepareonBob'send. Step1:AliceperformsaBellmeasurementonherqubitandoneofthequbitsinthenon-maximallyentangledW-state.ThisentanglesherqubitwiththeW-stateonBob'send. Step2:AlicecommunicatestheresultofherBellmeasurementtoBobclassically,whothenappliesacertainsetofsingle-qubitoperationsthatdependonthemeasurementoutcome.Iftheoutcomeis0,BobappliesaHadamardgatefollowedbyaphase-shiftgate.Iftheoutcomeis1,Bobappliesaphase-shiftgatefollowedbyaHadamardgate. Step3:Bobappliesacontrolled-NOTgatebetweenthequbitthatheentangledwithAlice'squbitandthethir