Theory of "Weak Value" and Quantum Mechanical Measurements

Abstract

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).

to be published from "Measurements in Quantum Mechanics", edited by M. R. Pahlavani (InTech, 2012) Chapter 4 page 75. Yutaka Shikano (2012). ISBN: 978-953-51-0058-4 Available from: http://www.intechopen.com/articles/show/title/theory-of-weak-value-and-quantum-mechanical-measurement

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Cited by in corpus (14)

• How the result of a single coin toss can turn out to be 100 heads
• Demonstration of Weak Measurement Based on Atomic Spontaneous Emission
• Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states
• Probing finite coarse-grained virtual Feynman histories with sequential weak values
• Practical Advantages of Almost-Balanced-Weak-Values Metrological Techniques
• Non-representative quantum mechanical weak values
• Hunting for the Quantum Cheshire Cat
• Theory Including Future Not Excluded -- Formulation of Complex Action Theory II --
• Weak Values and Modular Variables From a Quantum Phase Space Perspective
• Overcoming experimental limitations in a non-linear two-qubit gate through postselection
• A Bayesian quasi-probability approach to inferring the past of quantum observables
• Theory of Neutrino Detection -- Flavor Oscillations and Weak Values
• Momentum relation and classical limit in the future-not-included complex action theory
• Influence from Future, Arguments