Classical Three-Box "paradox"
arXiv:quant-ph/0207124 · doi:10.1088/0305-4470/36/17/315
Abstract
A simple classical probabilistic system (a simple card game) classically exemplifies Aharonov and Vaidman's "Three-Box 'paradox'" [J. Phys. A 24, 2315 (1991)], implying that the Three-Box example is neither quantal nor a paradox and leaving one less difficulty to busy the interpreters of quantum mechanics. An ambiguity in the usual expression of the retrodiction formula is shown to have misled Albert, Aharonov, and D'Amato [Phys. Rev. Lett. 54, 5 (1985)] to a result not, in fact, "curious"; the discussion illustrates how to avoid this ambiguity.
10 pages. v4: As published, with corrections and updated references
References in corpus (1)
Cited by in corpus (25)
- Pre- and Post-selection paradoxes and contextuality in quantum mechanics
- Pre- and post-selection, weak values, and contextuality
- Quantum advantages in classically defined tasks
- The Three-Box Paradox Revisited
- Weak values and quantum properties
- Simple understanding of quantum weak values
- Logical Pre- and Post-Selection paradoxes, measurement-disturbance and contextuality
- Logical pre- and post-selection paradoxes are proofs of contextuality
- Three-box paradox and "Cheshire cat grin": the case of spin-1 atoms
- Consistency of the Shannon entropy in quantum experiments
- Weak values are quantum: you can bet on it
- Detectability, Invasiveness and the Quantum Three Box Paradox
- Amplification of Gravitationally Induced Entanglement
- Peculiar Features of Entangled States with Post-Selection
- Path integrals, the ABL rule and the three-box paradox
- Reply to "The three-box paradox revisited" by Ravon and Vaidman
- Interpreting weak value amplification with a toy realist model
- Compatibility and probability
- What is paradoxical about the "Three-box paradox"?
- A macroscopic quantum three-box paradox: finding consistency with weak macroscopic realism
- Causal reappraisal of the quantum three box paradox
- `Plausibilities of plausibilities': an approach through circumstances
- Counterfactuals in Quantum Mechanics
- Hardy's Second Axiom is insufficiently general
- Hidden measurements, hidden variables and the volume representation of transition probabilities