Combining contextuality and causality: a game semantics approach
arXiv:2307.04786 · doi:10.1098/rsta.2023.0002
Abstract
We develop an approach to combining contextuality with causality, which is general enough to cover causal background structure, adaptive measurement-based quantum computation, and causal networks. The key idea is to view contextuality as arising from a game played between Experimenter and Nature, allowing for causal dependencies in the actions of both the Experimenter (choice of measurements) and Nature (choice of outcomes).
arXiv comment14 pages
References in corpus (16)
- Measurement-based quantum computation
- Quantum correlations with no causal order
- Quantum computations without definite causal structure
- The Sheaf-Theoretic Structure Of Non-Locality and Contextuality
- Quantum advantage with shallow circuits
- Computational power of correlations
- Theory-independent limits on correlations from generalised Bayesian networks
- The contextual fraction as a measure of contextuality
- Logical Bell Inequalities
- The Cohomology of Non-Locality and Contextuality
- Quantum violation of an instrumental test
- On the Cohomology of Contextuality
- A comonadic view of simulation and quantum resources
- On monogamy of non-locality and macroscopic averages: examples and preliminary results
- Categories of Empirical Models
- The Sheaf-Theoretic Structure of Definite Causality