Weak measurements, non-classicality and negative probability
arXiv:2006.12436 · doi:10.1007/s11128-021-03289-5
Abstract
This paper establishes a direct, robust and intimate connection between (i) non classicality tests for various quantum features, e.g., non-Boolean logic, quantum coherence, nonlocality, quantum entanglement, quantum discord; (ii) negative probability, and (iii) anomalous weak values. It has been shown [Adhikary et al. Eur. Phys. J. D, 74(68):68, 2020] that nonexistence of a classical joint probability scheme gives rise to sufficiency conditions for nonlocality, a nonclassical feature not restricted to quantum mechanics. The conditions for nonclassical features of quantum mechanics are obtained by employing pseudo probabilities, which are expectation values of the parent pseudo projections. The crux of the paper is that the pseudo-probabilities, which can take negative values, can be directly measured as anomalous weak values. We expect that this opens up new avenues for testing nonclassicality via weak measurements, and also gives deeper insight into negative pseudo probabilities which become measurable. A quantum game, based on violation of classical probability rule is also proposed that can be played by employing weak measurements.
36 pages, 2 figures
References in corpus (8)
- Anomalous Weak Values Are Proofs of Contextuality
- Quantum cost for sending entanglement
- Strange Weak Values
- Universality of local weak interactions and its application for interferometric alignment
- Interference experiment, anomalous weak value and Leggett-Garg test of macrorealism
- Remote State Preparation using Correlations beyond Discord
- Footprints of quantum pigeons
- Non-locality and entanglement in multi-qubit systems from a unified framework