LEADER 04456nam 22007335 450 001 9910300369903321 005 20200706112436.0 010 $a4-431-54493-3 024 7 $a10.1007/978-4-431-54493-7 035 $a(CKB)3710000000078916 035 $a(EBL)1636788 035 $a(OCoLC)871858446 035 $a(SSID)ssj0001090763 035 $a(PQKBManifestationID)11555720 035 $a(PQKBTitleCode)TC0001090763 035 $a(PQKBWorkID)11026153 035 $a(PQKB)11015258 035 $a(MiAaPQ)EBC1636788 035 $a(DE-He213)978-4-431-54493-7 035 $a(PPN)176126171 035 $a(EXLCZ)993710000000078916 100 $a20131217d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFormulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory$b[electronic resource] /$fby Yu Watanabe 205 $a1st ed. 2014. 210 1$aTokyo :$cSpringer Japan :$cImprint: Springer,$d2014. 215 $a1 online resource (131 p.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $a"Doctoral Thesis accepted by The University of Tokyo, Tokyo, Japan." 311 $a4-431-54492-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction -- Reviews of Uncertainty Relations -- Classical Estimation Theory -- Quantum Estimation Theory -- Expansion of Linear Operators by Generators of Lie Algebra su(d) -- Lie Algebraic Approach to the Fisher Information Contents -- Error and Disturbance in Quantum Measurements -- Uncertainty Relations between Measurement Errors of Two Observables -- Uncertainty Relations between Error and Disturbance in Quantum Measurements -- Summary and Discussion. 330 $aIn this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement. The author argues that the best solution for clarifying the attainable bound of the error and disturbance is to invoke the estimation process from the measurement outcomes such as signals from a photodetector in a quantum optical system. The error and disturbance in terms of the Fisher information content have been successfully formulated and provide the upper bound of the accuracy of the estimation. Moreover, the attainable bound of the error and disturbance in quantum measurement has been derived. The obtained bound is determined for the first time by the quantum fluctuations and correlation functions of the observables, which characterize the non-classical fluctuation of the observables. The result provides the upper bound of our knowledge obtained by quantum measurements. The method developed in this thesis will be applied to a broad class of problems related to quantum measurement to build a next-generation clock standard and to successfully detect gravitational waves. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aThermodynamics 606 $aQuantum computers 606 $aSpintronics 606 $aAssessment 606 $aPhysics 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aAssessment, Testing and Evaluation$3https://scigraph.springernature.com/ontologies/product-market-codes/O33000 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aThermodynamics. 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aAssessment. 615 0$aPhysics. 615 14$aThermodynamics. 615 24$aQuantum Information Technology, Spintronics. 615 24$aAssessment, Testing and Evaluation. 615 24$aMathematical Methods in Physics. 676 $a530.1201 676 $a530.1201/51542 676 $a530.120151542 700 $aWatanabe$b Yu$4aut$4http://id.loc.gov/vocabulary/relators/aut$0792019 906 $aBOOK 912 $a9910300369903321 996 $aFormulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory$91770898 997 $aUNINA