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03876nam a22005895i 4500 |
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978-4-431-54777-8 |
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DE-He213 |
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20210617023658.0 |
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cr nn 008mamaa |
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140115s2014 ja | s |||| 0|eng d |
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|a 9784431547778
|9 978-4-431-54777-8
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|a 10.1007/978-4-431-54777-8
|2 doi
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|a QC173.96-174.52
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|a PHQ
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|a 530.12
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|a Sugiyama, Takanori.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Finite Sample Analysis in Quantum Estimation
|h [electronic resource] /
|c by Takanori Sugiyama.
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| 250 |
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|a 1st ed. 2014.
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| 264 |
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|a Tokyo :
|b Springer Japan :
|b Imprint: Springer,
|c 2014.
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| 300 |
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|a XII, 118 p. 14 illus., 11 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
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| 505 |
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|a 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.
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|a 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.
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| 650 |
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|a Quantum physics.
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| 650 |
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|a Quantum computers.
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| 650 |
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|a Spintronics.
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| 650 |
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|a Quantum optics.
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| 650 |
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|a Physical measurements.
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| 650 |
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|a Measurement .
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| 650 |
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|a Data structures (Computer science).
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| 650 |
1 |
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|a Quantum Physics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/P19080
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| 650 |
2 |
4 |
|a Quantum Information Technology, Spintronics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/P31070
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| 650 |
2 |
4 |
|a Quantum Optics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/P24050
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| 650 |
2 |
4 |
|a Measurement Science and Instrumentation.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/P31040
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| 650 |
2 |
4 |
|a Data Structures and Information Theory.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/I15009
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer Nature eBook
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| 776 |
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|i Printed edition:
|z 9784431547785
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| 776 |
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|i Printed edition:
|z 9784431547761
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| 776 |
0 |
8 |
|i Printed edition:
|z 9784431561835
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| 830 |
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|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
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| 856 |
4 |
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|u https://doi.org/10.1007/978-4-431-54777-8
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| 912 |
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|a ZDB-2-PHA
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| 912 |
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|a ZDB-2-SXP
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| 950 |
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|a Physics and Astronomy (SpringerNature-11651)
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| 950 |
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|a Physics and Astronomy (R0) (SpringerNature-43715)
|
