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1、QuantumInformationTheoryandTheFoundationsofQuantumMechanicsChristopherGordonTimpsonTheQueen’sCollegearXiv:quant-ph/0412063v18Dec2004AthesissubmittedforthedegreeofDoctorofPhilosophyattheUniversityofOxfordTrinityTerm2004file://C:INDOWSesktopebpageagles.gifQuantumInformationTheory
2、andtheFoundationsofQuantumMechanicsChristopherGordonTimpson,TheQueen’sCollegeOxfordUniversity,TrinityTerm2004AbstractofThesisSubmittedfortheDegreeofDoctorofPhilosophyThisthesisisacontributiontothedebateontheimplicationsofquantuminformationtheoryforthefoundationalproblemsofquant
3、ummechanics.InPartIanattemptismadetoshedsomelightonthenatureofinformationandquantuminformationtheory.Itisemphasizedthattheeverydaynotionofinformationistobe?rmlydistinguishedfromthetechnicalnotionsarisingininformationtheory;howeveritismaintainedthatinbothsettings‘information’fun
4、ctionsasanabstractnoun,hencedoesnotrefertoaparticularorsubstance.Thepopularclaim‘InformationisPhysical’isassessedanditisarguedthatthispropositionfacesadestructivedilemma.Accordingly,thesloganmaynotbeunderstoodasanontologicalclaim,butatbest,asamethodologicalone.Anovelargumentisp
5、rovidedagainstDretske’s(1981)attempttobaseasemanticnotionofinformationonideasfrominformationtheory.Thefunctionofvariousmeasuresofinformationcontentforquantumsystemsisex-ploredandtheapplicabilityoftheShannoninformationinthequantumcontextmain-tainedagainstthechallengeofBruknerand
6、Zeilinger(2001).Thephenomenonofquan-tumteleportationisthenexploredasacasestudyservingtoemphasizethevalueofrecognisingthelogicalstatusof‘information’asanabstractnoun:itisarguedthattheconceptualpuzzlesoftenassociatedwiththisphenomenonresultfromthefamiliarerrorofhypostatizinganabs
7、tractnoun.TheapproachofDeutschandHayden(2000)tothequestionsoflocalityandinfor-mation?owinentangledquantumsystemsisassessed.Itissuggestedthattheapproachsu?ersfromanequivocationbetweenaconservativeandanontologicalreading;andthedi?eringimplicationsofeachisexamined.Someresultsarepr
8、esentedonthecharacter-izationofentanglementintheDeutsc
