Master Thesis 2009 Weak Values in Quantum Measurement Theory — Concepts and Applications —

Yutaka Shikano

We review the definition and the concepts of the weak values and some measurement model to extract the weak value. This material is based on the author Ph.D. thesis "Time in Weak Values and Discrete Time Quantum Walk" at Tokyo Institute of Technology (2011).

M. Shioden

Samuel Parra-San-Pedro

This thesis provides an introduction to the quantum mechanical concept of “weak values”. It is followed by the introduction of a communication protocol that takes advantage of the useful properties of these measurements, along with a suggested changeto transmit more complex messages. The robustness of the weak values is presented and then applied and adapted in order to improve the protocol, together with a simulation that provides numerical evidence for its effectiveness.

Jaewoo Noh

G. C. Ghirardi, A. Rimini

Ludvík Vízdal

The main goal of this thesis is to introdude to readers the concept of weak measure- ments in quantum mechanics. Firstly a model of indirect measuremnts is established as an alternative to Von Neumann measurement postulate. This model leads to a possible generalization in a form of weak measurements. Then the concept of postselection is introduced and involved into the issue of weak measurements which leads to the weak values of physical quantities. All these theoretical concepts are presented using simple model examples. Finally, a discussion in provided on the possible interpretation and of weak values and their experimental verification.