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1、QuantumInformationwithContinuousVariablesofAtomsandLightDecember20,200612:11WSPC/TrimSize:9inx6inforReviewVolumecerf˙bookThispageintentionallyleftblankQuantumInformationwithContinuousVariablesofAtomsandLightEditorsN.J.CERFUniversitéLibredeBruxelles,BelgiumG.LEUCHSUniversitätErlang
2、en-Nürnberg,GermanyE.S.POLZIKNielsBohrInstitute,DenmarkImperialCollegePressICPPublishedbyImperialCollegePress57SheltonStreetCoventGardenLondonWC2H9HEDistributedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ0760
3、1UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.QUANTUMINFORMATIONWITHCONTINUOUSVARIABLESOFATOMSANDLIGHTCopyright©2007byImperialCollegePressAllrightsreserved.Thisbook,orpart
4、sthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyr
5、ightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN-13978-1-86094-760-5ISBN-101-86094-760-3ISBN-13978-1-86094-776-6(pbk)ISBN-101-86094-776-X(pbk)PrintedinSingapore.Magdalene-QuantumInformation.pmd112/21/20
6、06,2:55PMDecember21,200611:32WSPC/TrimSize:9inx6inforReviewVolumecerf_book...continuousquantumvariablesarethelanguageusedintheoriginalformulationoftheEPRgedankenexperiment:Thus,bymeasuringeitherP[themomentum]orQ[thecoordinateofthe rstsystem]weareinapositiontopredictwithcertainty,a
7、ndwithoutinanywaydisturbingthesecondsystem,eitherthevalueofthequantityP[:::]orthevalueofthequantityQ[:::].Inaccordancewithourcriterionofreality,inthe rstcasewemustconsiderthequantityPasbeinganelementofreality,inthesecondcasethequantityQisanelementofreal-ity.But,aswehaveseen,bothwa
8、vefunctions[theeigenfunctionsofPa
