TL;DR
This paper explores weak values through quantum logic, questions the validity of Hardy's paradox counterfactuals based on weak values, and clarifies conditions for the appearance of strange weak values.
Contribution
It introduces a quantum-logical perspective on weak values and critically examines the validity of Hardy's paradox counterfactual statements.
Findings
Counterfactual statements in Hardy's paradox are not validated by weak values.
Strange weak values can only occur when they are not interpreted as (conditional) probabilities.
Weak values are better understood outside the framework of classical probabilities.
Abstract
In this study, we study weak values from a quantum-logical viewpoint. In addition, we examine the validity of the counterfactual statements of Hardy's paradox, which are based on weak values, and we show that these statements have not been validated. It is also shown that strange weak values may only appear if they are not (conditional) probabilities. PACS numbers: 03.65.Ta, 03.65.Ud, 03.65.Ca
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical and Theoretical Analysis · Benford’s Law and Fraud Detection · Quantum Mechanics and Applications