Events in quantum mechanics are maximally non-absolute
arXiv:2112.11223 · doi:10.22331/q-2022-08-24-785
Abstract
The notorious quantum measurement problem brings out the difficulty to reconcile two quantum postulates: the unitary evolution of closed quantum systems and the wave-function collapse after a measurement. This problematics is particularly highlighted in the Wigner's friend thought experiment, where the mismatch between unitary evolution and measurement collapse leads to conflicting quantum descriptions for different observers. A recent no-go theorem has established that the (quantum) statistics arising from an extended Wigner's friend scenario is incompatible when one try to hold together three innocuous assumptions, namely no-superdeterminism, parameter independence and absoluteness of observed events. Building on this extended scenario, we introduce two novel measures of non-absoluteness of events. The first is based on the EPR2 decomposition, and the second involves the relaxation of the absoluteness hypothesis assumed in the aforementioned no-go theorem. To prove that quantum correlations can be maximally non-absolute according to both quantifiers, we show that chained Bell inequalities (and relaxations thereof) are also valid constraints for Wigner's experiment.
References in corpus (31)
- Bell nonlocality
- Decoherence, the measurement problem, and interpretations of quantum mechanics
- Relational Quantum Mechanics
- Dynamical Reduction Models
- Quantum probabilities as Bayesian probabilities
- How Quantum Mechanics can consistently describe the use of itself
- Quantum theory cannot consistently describe the use of itself
- Local deterministic model of singlet state correlations based on relaxing measurement independence
- A strong no-go theorem on the Wigner's friend paradox
- Rethinking Superdeterminism
- Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities
- A no-go theorem for observer-independent facts
- A unifying framework for relaxations of the causal assumptions in Bell's theorem
- Experimental test of local observer-independence
- On nonlocality as a resource theory and nonlocality measures
- The Free-Will Postulate in Quantum Mechanics
- Self-testing protocols based on the chained Bell inequalities
- A no-go theorem for the persistent reality of Wigner's friend's perception
- Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
- Quantum Theory and the Limits of Objectivity
- Quantifying Bell non-locality with the trace distance
- Toy Models for Retrocausality
- Generalized probability rules from a timeless formulation of Wigner's friend scenarios
- Physics and Metaphysics of Wigner's Friends: Even performed pre-measurements have no results
- The view from a Wigner bubble
- Complementary contributions of indeterminism and signalling to quantum correlations
- Inadequacy of Modal Logic in Quantum Settings
- Bell scenarios with communication
- Measurement-dependence cost for Bell nonlocality: causal vs retrocausal models
- The non-locality of n noisy Popescu-Rohrlich boxes
- On the quantum measurement problem