Berlin 2005 – scientific programme

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Q: Quantenoptik und Photonik

Q 42: Quanteninformation II

Q 42.4: Talk

Tuesday, March 8, 2005, 14:45–15:00, HU Audimax

Quantum estimation of higher dimensional systems — •Thorsten Bschorr and Matthias Freyberger — Abteilung Quantenphysik, Universität Ulm, 89069 Ulm

We present the estimation of quantum states of higher dimensional systems. This includes the estimation of entangled subsystems. Such an estimation process consists of consecutive measurements on a finite ensemble. From the measured frequencies one can infer the quantum states using suitable estimators. We explore the application of these ideas to higher dimensions. We show how the problem of exponentially growing parameter spaces can be treated using Quasi Monte–Carlo methods [1]. In addition we discuss the use of uniformly distributed measurement bases in the Hilbert space using the Fubini–Study metric.

[1] H. Niederreiter, Random number generation and Quasi-Monte Carlo methods, (Society for Industrial and Applied Mathematics, Philadelphia, 1992).