基于Heisenberg模型的量子計(jì)算及其糾纏性質(zhì)的研究.pdf

1、湖北大學(xué)碩士學(xué)位論文基于Heisenberg模型的量子計(jì)算及其糾纏性質(zhì)的研究姓名：吳克棟申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：凝聚態(tài)物理指導(dǎo)教師：曹萬(wàn)強(qiáng)周斌20070601AbstractQuantum即協(xié)理如刪isafundamental∞呱剮intlacquantumthc0】ry9andalsoplaysakeyroleinquantume01刪tinsandquallltmlinfomantionproeessingInrecentyemse

2、ntanglementisviewed勰apotentiallyvaluable刪咖[ceandhasa1=n矗：tedalotofattcnlionbothexperimentallyandtheoreticallyByexploiting既I劬glcdstates，011ec缸performm』aytasksthata托otherwi∞difficultOFimpossiblcsuch嬲qu趾tumteleportationSU刪C

3、IISecodingandquantumcloningInthisthesiswedisemstheentanglemeIItpropertiesofonedimensionalHeisenbergchainwi山spinl／2Inthefirstchapterwebrieflyievic月vthedcvdopmcntofquantumcomputationandquantuminformationThentlaedefinitiona

4、ndiI鹼asulcsofquantumentanglcmcnta聆givenInthesecondchapterthethermale11tanglementinthetwoqubitanisotropieXXZmodelinthepresenceofanexternalinhomogcneousmagneticfieldalongtheZaxisisfirstlyinvestigatedTheeffectsoftheauisotro

5、pieparanlctcr△oiltheltI咖alentanglementa俺studiedcarefullyforboththeantiferromagneticandferromagneticcas鶴Thecritical把加p既atInICallalsobecontrolledbytheanisotropiepararnct盯△ThenWCstudythethermalentanglementinthetwoqubittteis

6、enbelgXYmodelincludingtheaosspm蛔咖sintlaepI謹(jǐn)黜ofanexternaliilhomogencousmagneticfieldTheeffectsofanexternalinlaomogcneousmagneticfieldOntheground—stateandthethermalentanglement礬discussedcarefullyInthethirdchaptertheentangl

7、ementpropertiesbothinthefourqubitanisotropieHeisenbergXYchainwithuniformCXteJlllalmagneticfieldsandintheIIeisenl姍gXXmodelwithtwoexldllal丘eld3姍investigatedTheanalyticalexpressionsfortlacm翻鼠腑ofeatanglemsllt躺drulin缸InHei∞nh

8、eIgxYchain螄effcetsoftheanisotropy∞thethermalemtanglcmenta∞studiedIntheHei蛐b雄XXringwithtwoextelllalfieldsitisfotmdthathighpairelatanglcmelatCallbeoir“ained琢=isI蜘openchainisveryimportantinthestudyofquantltmlstatotransition