Quantum logic and weak values

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