Feynman-path analysis of Hardy's paradox: measurements and the uncertainty principle
arXiv:0903.4795 · doi:10.1016/j.physleta.2008.02.079
Abstract
Hardy's paradox is analysed within Feynman's formulation of quantum mechanics. A transition amplitude is represented as a sum over virtual paths which different intermediate measurements convert into different sets of real pathways. Contradictory statements emerge when applying to the same statistical ensemble. The "strange" weak values result is also investigated in this context.
References in corpus (6)
- Revisiting Hardy's Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values
- Practical measurement of joint weak values and their connection to the annihilation operator
- Lorentz-Invariant "Elements of Reality" and the Question of Joint Measurability of Commuting Observables
- The Three-Box Paradox Revisited
- Linear optics implementation of weak values in Hardy's paradox
- Comment on "A linear optics implementation of weak values in Hardy's paradox"
Cited by in corpus (6)
- Strange Weak Values
- The meaning of "anomalous weak values" in quantum and classical theories
- Weak measurements measure probability amplitudes (and very little else)
- Path probabilities for consecutive measurements, and certain "quantum paradoxes"
- Path integrals, the ABL rule and the three-box paradox
- Is Hardy's paradox a paradox?