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1、FrequencyConversionofEntangledStateAihongTan,XiaojunJia,ChangdeXie*StateKeyLaboratoryofQuantumOpticsandQuantumOpticsDevices,InstituteofOpto-Electronics,ShanxiUniversityTaiyuan030006,Peoples'sRepublicofChinaThequantumcharacteristicsofsum-frequencyprocessi
2、nanopticalcavitywithaninputsignalopticalbeam,whichisahalfofentangledopticalbeams,areanalyzed.Thecalculatedresultsshowthatthequantumpropertiesofthesignalbeamcanbemaintainedafteritsfrequencyisconversedduringtheintracavitynonlinearopticalinteraction.Thefreq
3、uency-conversedoutputsignalbeamisstillinanentangledstatewiththeretainedotherhalfofinitialentangledbeams.Theresultantquantumcorrelationspectraandtheparametricdependencesofthecorrelationsontheinitialsqueezingfactor,theopticallossesandthepumppowerofthesum-f
4、requencycavityarecalculated.Theproposedsystemforthefrequencyconversionofentangledstatecanbeusedinquantumcommunicationnetworkandthecalculatedresultscanprovidedirectreferencesforthedesignofexperimentalsystems.42.50.Dv,03.67.Mn,03.65.Ud1Introduction1Quantum
5、entanglementofamplitudeandphasequadraturesofopticalfields,atypicalcontinuousvariable(CV)entanglement,hasbeenextensivelyappliedinthequantum1informationandcommunication.TheunconditionalnessofCVentanglement,whichisusuallygeneratedfromthenonlinearopticalinte
6、ractionofalaserwithacrystalinadeterminantfashionforagivenexperimentalsystem,isavaluablefeatureforefficientlyexploitingtheentanglementresource.Thesuccessfulexperimentsofunconditionalquantumteleportation,quantumdensecoding,quantumentanglementswappingandele
7、mentaryquantumcommunicationnetworksbasedonCV2345678entanglementenhancetheinteresttoexploretheschemesestablishingmorecomplicatedCVquantumcommunicationnetworkanddevelopingCVquantumtelecommunication.Recently,adirectquantuminterfaceforphotonicqubitsat9differ
8、entwavelengthswasexperimentallydemonstrated.Intheirexperiment,theenergy-timeentanglementofaphotonat1,310nmwavelengthwithaphotonat1,550nm,wascoherentlytransferredtoanotherphotonatawavelengthof710nmviaaprocessofsum-frequency
