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Engineering Core Engineering Core 62Quantuminformationtheoryisaninformationtheorybasedonquantummechanics.Quantumteleportationandaquantumcomputerarefamousandimportantapplicationsofquantuminformationtheory.Sincequantumstatesaredescribedbyoperatorsandmatriceswithsomeproperties,itisimportanttostudyoperatortheoryandtheoryofoperatoralgebra.Ourgroupstudiesquantuminformationtheorymathematically.HiromichiOhnoIftheworldfollowedinvisiblerules,wouldyouliketofindthem?Forexample,isthereareasonwhyeverythingisnotalwaysgood?Humansrecognizethingslimitedly,butlogicexplainsmanythingsinawaythatmakesusfeellikeweunderstand.Takingonestepfurther,weusemathematicstounderstandwhatwefeellikeweunderstand.QuantumTopologyviacategorificationandquantizationisoneofthemostamazingfieldsofstudythattranscendsthelimitsofhumanperceptionandevenformulatesinvisiblerulesbehindtheworlds.RSAisacryptosystembasedonthedifficultyoffindingaprimefactorization.Butifwehaveaquantumcomputer,wecanfinditeasilyandthuswecancrackacode.Quantumteleportationisanewmeansofcommunication.Whenweusetoquantumteleportation,eavesdrop.Quantuminformationtheorywilldevelopourcommunicationtechnology.Graduatedstudentsfromourlaboratoryworkinvariousgovernmentemployees,teachers,etc.Oneofouraimsistoimprovestudents’thinkingskillsandproblem-solvingabilities.Bycategorificationandquantization,weinmathematics.resultsdeepensimpleForinofnumbers,wefindtherelationofspaces,andmakedeeperandrefinedequationsandfunctions.Itcreatesnon-substitutionalthatobtainandfundamentalnewcodes,newmedicines.willItinformation,Further,categorificationcreatenewareasandjobs.impossibleisitfieldsengineers,asknownexample,equalitiestechniquesnewmaterials,contributefinance,thosetooffluids,andmaterials.aboutwhowillthelearnquantizationandlogicalandfieldsinWarsawU.Talkright)DiscussionwithProf.ViroinSCGP(lowerleft),ResearchinDarmstadt(lowerright).Daily life in our laboratory. Students study and prepare for their seminar.A scene of a seminar. Students and teachers discuss mathematical problems.StudentofKhovanovandItoinNY(right).ItoLab.receivedPresident’sAwardofKOSEN(left);Prof.inDarmstadtleft),Talk(upper(upperIn the FutureAfter GraduationNoboru ItoIn the FutureAfter GraduationProfessorPh.D., Information science, Tohoku University, March 2005.Professor at Shinshu University, since 2022.AssociateProfessorProfessionalCareerstartsasJSPSfellowofdoctoralprogramwithstudyinginGermany.AfterdefensedPhD,positionswereheldatWasedaU.,UniversityofTokyo,NITIbarakiCollege.Publishedbooks(2016,2018).ReceivedStaffAward(2021).Hehasbeeninthecurrentposition(2024).Operator Theory and Quantum Information TheoryNew Geometry by Quantum Topology

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