Kniha Finite Sample Analysis in Quantum Estimation Takanori Sugiyama

Finite Sample Analysis in Quantum Estimation

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 286
In this thesis, the author explains the background of problems in quantum estimation, the necessary...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2014
Stránek
118
EAN
9784431547761
ISBN
4431547762
Enbook ID
02252420
Hmotnost
360
Rozměry
165 x 243 x 13

Kompletní popis

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 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 are derived, in contrast to the standard quantum estimation theory, which can only deal 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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