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1、oþf'AÅAÛÿþïÄ)6¶:Ɖ!;’:êÆ!Ä:êÆïÄ••:þf&E•“:¤žm:2012c3oþf'AÅAÛÿþïÄ)6¶:šÿƉ!;’:êÆ!Ä:êÆïÄ••:þf&E•“:šzBǤžm:2012c3•H“‰ŒÆïÄ)ÆØ©M5`²(ŠâÆØ©a.ƒA/3t"yK")ïĤJ.é©ïÄóŠ‰Ñ
2、•‡ z‡<Ú8N,þ®3©¥±²(•ª5².(²{Æ(Jòd<«ú.Šö¶:FÏ:•H“‰ŒÆïÄ)ÆØ©¦^ÇÖ(ŠâÆØ©a.ƒA/3t"yK")5oþf'AÅAÛÿþ6X<3•H“‰ŒÆôÖƬt/a¬tÆÏm,3“•e¤Æ¬t/a¬tÆØ©.Ø©ïĤJ8•H“‰ŒÆ¤k,Ø©ïÄSNر٦ü¶ÂuL.<)•H“‰ŒÆ'u•!¦^ÆØ©5½,Ó¿Æ3¿•k'Ü€xØ©E<‡Ú>f‡,#NØ©Ú/<Ç•H“‰ŒÆ,Œ±æ^K<½Ù¦E›Ãã•Ø©,Œ±úm
3、uLةܽܩSN.Šö¶:FÏ:“¶:FÏ:•H“‰ŒÆa¬ÆØ©Á‡Å´þfåƤAk˜«y–,þf&E?n˜„ч/ÏÅ5¢y.~X,Å3þf—,þfÈ—?èÚþfOŽ•¡ÑkX2•A^.A^ÅAÛÿþÏ´§·Au?¿‘êXÚ.,,˜„)ÛOŽEäkƒŒ]Ô5.AÛÿþ•6uAŠ2max,dAŠŒdEg()=1 2max5.éuX5`,ÅAŠÒ´‰½†?¿†È•Œål.©ïÄ̇gŽÒ´n‡þf'AXAÛÿþdzÑ5(n 1)‡þf'A·Ü5(½.©3ïÄn
4、‡þf'AXXÚÅAÛÿþÄ:þ,‰Ño‡þf'AXAÛÿþnØ,¿‰ÑäNOŽ•{.ÏLäNGHZ,W9Ù§/ª~féo‡þf'AXÅÿþnØ?1¿¢.'…c:þfÅ,AÛÿþ,X,ÅAŠi•H“‰ŒÆa¬ÆØ©AbstractEntanglementisthecenterissueinquantuminformation.Entangledstateshavedierentremarkableapplications,andamongthemarequantumcryptography,quantums
5、uperdensecodingandquantumcomputingetc..Thereasonforusingthegeometricmeasureofentanglementisthatitissuitableforanypartitesystemregardlessofitsdimensions.However,analyticalcomputationforgenericstatesstillremainsasagreatchallenge.Themeasuredependsonentanglementeigenvalue2andcan
6、bederivedmaxfromtheformulaE()=1 2.Forpurestates,theentanglementeigenvalueisequalgmaxtothemaximaloverlapofagivenstatewithanycompleteproductstate.Thebasicideaistouse(n 1) qubitmixedstatestocalculatethegeometricmeasureofn qubitpurestates.Onthebasisofgeometricmeasureofentangleme
7、ntofthree-qubitpurestates,wegivethetheoryofgeometricmeasureoffour-qubitpurestatessystem.Andtheconcretecalculatemethodhasbeengiven.ThroughtheexampleofGHZstates,Wstatesandotherformsofstates,weenrichthetheoryofgeometricmeasureofentanglementoffour-qubitpurestates.Keywords:quantum
8、entanglement,geometricmeasure,purestate,entanglementeigenvalueii•H“‰