Finite Sample Analysis in Quantum Estimation [[electronic resource] /] / by Takanori Sugiyama
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| Autore: |
Sugiyama Takanori
|
| Titolo: |
Finite Sample Analysis in Quantum Estimation [[electronic resource] /] / by Takanori Sugiyama
|
| Pubblicazione: | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (125 p.) |
| Disciplina: | 530.133 |
| Soggetto topico: | Quantum physics |
| Quantum computers | |
| Spintronics | |
| Quantum optics | |
| Physical measurements | |
| Measurement | |
| Data structures (Computer science) | |
| Quantum Physics | |
| Quantum Information Technology, Spintronics | |
| Quantum Optics | |
| Measurement Science and Instrumentation | |
| Data Structures and Information Theory | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Finite Sample Analysis in Quantum Estimation |
| ISBN: | 4-431-54777-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300393703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Theses, Recognizing Outstanding Ph.D. Research, . 2190-5053