基于Josephson結(jié)實現(xiàn)受控U門的研究.pdf

1、中南大學(xué)碩士學(xué)位論文基于Josephson結(jié)實現(xiàn)受控U門的研究姓名：鄭海蘭申請學(xué)位級別：碩士專業(yè)：物理學(xué)指導(dǎo)教師：符力平20100603中南大學(xué)碩士學(xué)位論文ABSTRACTThesubjectofquantumcomputationbringstogetherideasfromclassicalinformationtheorycomputerscience，andquantumphysicsItcansolvesomeproblems

2、whichcannotbeattackedbytraditionalcomputationefficientlyThephysicalrealizationofquantumcomputationisdonebyquantumcomputerThebasicunitofthequantumcomputerisquantumgate，SOithasgreatsignificanttofindasuitablemethodtogenerat

3、equantumgatefortherealizationofquantumcomputerTherearefivemainphysicalimplementationsofquantumlogicgatebynowTheseincludenuclearmagneticresonance，cavity—QED，iontraps，quantumdots，andJosephsonjunctionThegenerationofquantumg

4、atecanberealizedbysteeringthosephysicalsystemsTheroleofaquantumgateisimplementingaunitarytransformationtoaquantumstatewhichcanberegardedasaprocessofsteeringthequantumstatefromitsinitialstatetoatargetstateFromthesewecould

5、concludethatthegenerationofaquantumgateCanbeturnintoacontrollingproblemofaquantumsystemInthispaperwestudythegenerationofthecontrolledunitarygateinquantumcircuitfromperspectiveofthecontroltheoryBythecontroltheoryofquantum

6、mechanicalsystemandtheCaftandecompositionofthesemi—simpleLiealgebrasu(4)，thegenerationofarbitrarytwoqubitgatecanbetransformedintoasteeringprobleminatetrahedron(theWeylchamber)representingallthelocal—equivalenceclassesoft

7、wo—qubitgateThelocalequivalenceclassesoftwoqubitgateareinoneto—onecorrespondencewiththepointinatetrahedronexceptonthebase，andeverylocalequivalenceclasscanberepresentedbyaclassvectorintheWeylchamberFirst，bypassingallkinds

8、ofphysicalmodels，westudytheunitaryevolutionofcoupledqubitswhichCanbedescribedbyexchangeHamiltoniancontainingRabiterms，andderiveboththeWeylchamberaeefingtrajectoryandtheaccompanyinglocalrotationsBasedonthoseabove，we西Vethe