04456nam 22007335 450 991030036990332120200706112436.04-431-54493-310.1007/978-4-431-54493-7(CKB)3710000000078916(EBL)1636788(OCoLC)871858446(SSID)ssj0001090763(PQKBManifestationID)11555720(PQKBTitleCode)TC0001090763(PQKBWorkID)11026153(PQKB)11015258(MiAaPQ)EBC1636788(DE-He213)978-4-431-54493-7(PPN)176126171(EXLCZ)99371000000007891620131217d2014 u| 0engur|n|---|||||txtccrFormulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory[electronic resource] /by Yu Watanabe1st ed. 2014.Tokyo :Springer Japan :Imprint: Springer,2014.1 online resource (131 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053"Doctoral Thesis accepted by The University of Tokyo, Tokyo, Japan."4-431-54492-5 Includes bibliographical references at the end of each chapters.Introduction -- 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.In 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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053ThermodynamicsQuantum computersSpintronicsAssessmentPhysicsThermodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21050Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Assessment, Testing and Evaluationhttps://scigraph.springernature.com/ontologies/product-market-codes/O33000Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Thermodynamics.Quantum computers.Spintronics.Assessment.Physics.Thermodynamics.Quantum Information Technology, Spintronics.Assessment, Testing and Evaluation.Mathematical Methods in Physics.530.1201530.1201/51542530.120151542Watanabe Yuauthttp://id.loc.gov/vocabulary/relators/aut792019BOOK9910300369903321Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory1770898UNINA