LEADER 04400nam  22008175  450 
001 9910300393703321
005 20200701100345.0
010   $a4-431-54777-0
024 7 $a10.1007/978-4-431-54777-8
035   $a(CKB)2550000001199773
035   $a(EBL)1636795
035   $a(OCoLC)870162440
035   $a(SSID)ssj0001158379
035   $a(PQKBManifestationID)11635980
035   $a(PQKBTitleCode)TC0001158379
035   $a(PQKBWorkID)11101458
035   $a(PQKB)10189680
035   $a(MiAaPQ)EBC1636795
035   $a(DE-He213)978-4-431-54777-8
035   $a(PPN)176126414
035   $a(EXLCZ)992550000001199773
100   $a20140115d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFinite Sample Analysis in Quantum Estimation /$fby Takanori Sugiyama
205   $a1st ed. 2014.
210  1$aTokyo :$cSpringer Japan :$cImprint: Springer,$d2014.
215   $a1 online resource (125 p.)
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
300   $aDescription based upon print version of record.
311   $a4-431-54776-2 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aIntroduction -- 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.
330   $aIn this thesis, the author explains the background of problems in quantum estimation, the necessary conditions required for estimation precision benchmarks that are applicable and meaningful for evaluating data in quantum information experiments, and provides examples of such benchmarks. The author develops mathematical methods in quantum estimation theory and analyzes the benchmarks in tests of Bell-type correlation and quantum tomography with those methods. Above all, a set of explicit formulae for evaluating the estimation precision in quantum tomography with finite data sets is derived, in contrast to the standard quantum estimation theory, which can deal only with infinite samples. This is the first result directly applicable to the evaluation of estimation errors in quantum tomography experiments, allowing experimentalists to guarantee estimation precision and verify quantitatively that their preparation is reliable.
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
606   $aQuantum theory
606   $aQuantum computers
606   $aSpintronics
606   $aQuantum optics
606   $aPhysical measurements
606   $aMeasurement
606   $aData structures (Computer science)
606   $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080
606   $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070
606   $aQuantum Optics$3https://scigraph.springernature.com/ontologies/product-market-codes/P24050
606   $aMeasurement Science and Instrumentation$3https://scigraph.springernature.com/ontologies/product-market-codes/P31040
606   $aData Structures and Information Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/I15009
615  0$aQuantum theory.
615  0$aQuantum computers.
615  0$aSpintronics.
615  0$aQuantum optics.
615  0$aPhysical measurements.
615  0$aMeasurement.
615  0$aData structures (Computer science)
615 14$aQuantum Physics.
615 24$aQuantum Information Technology, Spintronics.
615 24$aQuantum Optics.
615 24$aMeasurement Science and Instrumentation.
615 24$aData Structures and Information Theory.
676   $a530.133
700   $aSugiyama$b Takanori$4aut$4http://id.loc.gov/vocabulary/relators/aut$0792024
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300393703321
996   $aFinite Sample Analysis in Quantum Estimation$91770904
997   $aUNINA