Simple understanding of quantum weak values

Abstract

In this work we revisit the important and controversial concept of quantum weak values, aiming to provide a simplified understanding to its associated physics and the origin of anomaly. Taking the Stern-Gerlach setup as a working system, we base our analysis on an exact treatment in terms of quantum Bayesian approach. We also make particular connection with a very recent work, where the anomaly of the weak values was claimed from the pure statistics in association with "disturbance" and "post-selection", rather than the unique quantum nature. Our analysis resolves the related controversies through a clear and quantitative way.

8 pages,2 figures

References in corpus (6)

• Weak values and the Leggett-Garg inequality in solid-state qubits
• Anomalous Weak Values Are Proofs of Contextuality
• How the result of a single coin toss can turn out to be 100 heads
• Weak Values are Interference Phenomena
• Comment on: How the result of a single coin toss can turn out to be 100 heads
• Quantum Bayesian rule for weak measurements of qubits in superconducting circuit QED

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