Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory:
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| Main Author: | |
|---|---|
| Format: | Thesis Electronic eBook |
| Language: | English |
| Published: |
Tokyo [u.a.]
Springer
2014
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| Series: | Springer Theses
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| Subjects: | |
| Online Access: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9784431544937 |
| DOI: | 10.1007/978-4-431-54493-7 |
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Record in the Search Index
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| adam_text | FORMULATION OF UNCERTAINTY RELATION BETWEEN ERROR AND DISTURBANCE IN
QUANTUM MEASUREMENT BY USING QUANTUM ESTIMATION THEORY
/ WATANABE, YU
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FORMULATION OF UNCERTAINTY RELATION BETWEEN ERROR AND DISTURBANCE IN
QUANTUM MEASUREMENT BY USING QUANTUM ESTIMATION THEORY
/ WATANABE, YU
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Watanabe, Yu Verfasser aut Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory Yu Watanabe Tokyo [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Theses Zugl.: Tokyo, Univ., Diss. Mathematische Physik Educational tests and measurements Mathematical physics Thermodynamics Physics (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Druckausgabe 978-4-431-54492-0 https://doi.org/10.1007/978-4-431-54493-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027040292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027040292&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Watanabe, Yu Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory Mathematische Physik Educational tests and measurements Mathematical physics Thermodynamics Physics |
| subject_GND | (DE-588)4113937-9 |
| title | Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory |
| title_auth | Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory |
| title_exact_search | Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory |
| title_full | Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory Yu Watanabe |
| title_fullStr | Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory Yu Watanabe |
| title_full_unstemmed | Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory Yu Watanabe |
| title_short | Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory |
| title_sort | formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory |
| topic | Mathematische Physik Educational tests and measurements Mathematical physics Thermodynamics Physics |
| topic_facet | Mathematische Physik Educational tests and measurements Mathematical physics Thermodynamics Physics Hochschulschrift |
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