Quantum picturalism for topological cluster-statecomputing拓扑簇态地量子图论 计算.pdf

《Quantum picturalism for topological cluster-statecomputing拓扑簇态地量子图论 计算.pdf》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、Relatedcontent-Interactingquantumobservables:Quantumpicturalismfortopologicalcluster-statecategoricalalgebraanddiagrammaticsBobCoeckeandRossDuncancomputing-SurfacecodequantumcomputingbylatticesurgeryClareHorsman,AustinGFowler,SimonTocitethisarticle:ClareHorsman2011NewJ.Phys.13095011Devittetal

2、.-LatticesurgeryontheRaussendorflatticeDanielHerr,AlexandruPaler,SimonJDevittetal.Viewthearticleonlineforupdatesandenhancements.Recentcitations-TheZX-calculusiscompleteforstabilizerquantummechanicsMiriamBackens-FocusontopologicalquantumcomputationJiannisKPachosandStevenHSimonThiscontentwasdow

3、nloadedfromIPaddress183.158.90.254on08/08/2018at04:02NewJournalofPhysicsTheopen–accessjournalforphysicsQuantumpicturalismfortopologicalcluster-statecomputingClareHorsmanOxfordUniversityComputingLaboratory,ParksRoad,OxfordOX13QD,UKandKeioUniversityShonanFujisawaCampus,Fujisawa,Kanagawa252-0882

4、,JapanE-mail:clare@sfc.wide.ad.jpNewJournalofPhysics13(2011)095011(17pp)Received1June2011Published19September2011Onlineathttp://www.njp.org/doi:10.1088/1367-2630/13/9/095011Abstract.Topologicalquantumcomputing(QC)isawayofallowingprecisequantumcomputationstorunonnoisyandimperfecthardware.Oneim

5、plementationusessurfacecodescreatedbyformingdefectsinahighly-entangledclusterstate.Suchamethodofcomputingisaleadingcandidateforlarge-scaleQC.However,therehasbeenalackofsufficientlypowerfulhigh-levellanguagestodescribecomputinginthisformwithoutresortingtosingle-qubitoperations,whichquicklybecom

6、eprohibitivelycomplexasthesystemsizeincreases.Inthispaper,weapplythecategory-theoreticworkofAbramskyandCoecketothetopologicalcluster-statemodelofQCtogiveahigh-levelgraphicallanguagethatenablesdirecttranslationbetweenquantumprocessesandphysicalpatternsofmeasurementinacomputer—a‘compilerlanguag

7、e’.Wegivetheequivalencebetweenthegraphicalandtopologicalinformationflows,andshowtheapplicablerewritealgebraforthiscomputingmodel.Weshowthatthisgivesusanativegraphicallanguageforthedesignandanalysisoftopologicalquantumalgorithms,andfinishbydiscu