04400nam 22008175 450 991030039370332120200701100345.04-431-54777-010.1007/978-4-431-54777-8(CKB)2550000001199773(EBL)1636795(OCoLC)870162440(SSID)ssj0001158379(PQKBManifestationID)11635980(PQKBTitleCode)TC0001158379(PQKBWorkID)11101458(PQKB)10189680(MiAaPQ)EBC1636795(DE-He213)978-4-431-54777-8(PPN)176126414(EXLCZ)99255000000119977320140115d2014 u| 0engur|n|---|||||txtccrFinite Sample Analysis in Quantum Estimation /by Takanori Sugiyama1st ed. 2014.Tokyo :Springer Japan :Imprint: Springer,2014.1 online resource (125 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Description based upon print version of record.4-431-54776-2 Includes bibliographical references at the end of each chapters.Introduction -- Quantum Mechanics and Quantum Estimation — Background and Problems in Quantum Estimation -- Mathematical Statistics — Basic Concepts and Theoretical Tools for Finite Sample Analysis -- Evaluation of Estimation Precision in Test of Bell-type Correlations -- Evaluation of Estimation Precision in Quantum Tomography -- Improvement of Estimation Precision by Adaptive Design of Experiments -- Summary and Outlook.In this thesis, the author explains the background of problems in quantum estimation, the necessary conditions required for estimation precision benchmarks that are applicable and meaningful for evaluating data in quantum information experiments, and provides examples of such benchmarks. The author develops mathematical methods in quantum estimation theory and analyzes the benchmarks in tests of Bell-type correlation and quantum tomography with those methods. Above all, a set of explicit formulae for evaluating the estimation precision in quantum tomography with finite data sets is derived, in contrast to the standard quantum estimation theory, which can deal only with infinite samples. This is the first result directly applicable to the evaluation of estimation errors in quantum tomography experiments, allowing experimentalists to guarantee estimation precision and verify quantitatively that their preparation is reliable.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Quantum theoryQuantum computersSpintronicsQuantum opticsPhysical measurementsMeasurementData structures (Computer science)Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Quantum Opticshttps://scigraph.springernature.com/ontologies/product-market-codes/P24050Measurement Science and Instrumentationhttps://scigraph.springernature.com/ontologies/product-market-codes/P31040Data Structures and Information Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/I15009Quantum theory.Quantum computers.Spintronics.Quantum optics.Physical measurements.Measurement.Data structures (Computer science)Quantum Physics.Quantum Information Technology, Spintronics.Quantum Optics.Measurement Science and Instrumentation.Data Structures and Information Theory.530.133Sugiyama Takanoriauthttp://id.loc.gov/vocabulary/relators/aut792024MiAaPQMiAaPQMiAaPQBOOK9910300393703321Finite Sample Analysis in Quantum Estimation1770904UNINA02701oas 2200889 a 450 991016007540332120260128110033.01744-0556(DE-599)ZDB2172211-0(OCoLC)60628307(CONSER) 2007247550(CKB)110978979591081(DE-599)2172211-0(EXLCZ)9911097897959108120050614b19922005 sy aengurmnu||||||||txtrdacontentcrdamediacrrdacarrierLow intensity conflict & law enforcementLondon F. Cass-©2005Refereed/Peer-reviewedVolumes for <2004>-2005 published: [Abingdon] : Routledge, Taylor & Francis Group.0966-2847 Low intensity conflict and law enforcementCivil-military relationsPeriodicalsLow-intensity conflicts (Military science)PeriodicalsInternal securityPeriodicalsTerrorismPeriodicalsRelations pouvoir civil-pouvoir militairePériodiquesConflits de basse intensitéPériodiquesSûreté de l'ÉtatPériodiquesTerrorismePériodiquesCivil-military relationsfast(OCoLC)fst00862889Internal securityfast(OCoLC)fst00976624Low-intensity conflicts (Military science)fast(OCoLC)fst01003219Terrorismfast(OCoLC)fst01148101Periodicals.fastPeriodicals.lcgftCivil-military relationsLow-intensity conflicts (Military science)Internal securityTerrorismRelations pouvoir civil-pouvoir militaireConflits de basse intensitéSûreté de l'ÉtatTerrorismeCivil-military relations.Internal security.Low-intensity conflicts (Military science)Terrorism.322.5OCLCSOCLCSOCLBUFEEMOCLCQHEBISUKMGBOCLCQOCLCFOCLCQAU@BWNOCLCQU3WOCLCQUABUEJOCLCLOCLCQJOURNAL9910160075403321Low intensity conflict & law enforcement2102684UNINA