Separability, Contextuality, and the Quantum Frame Problem
arXiv:2304.10010 · doi:10.1007/s10773-023-05406-9
Abstract
We study the relationship between assumptions of state separability and both preparation and measurement contextuality, and the relationship of both of these to the frame problem, the problem of predicting what does not change in consequence of an action. We state a quantum analog of the latter and prove its undecidability. We show how contextuality is generically induced in state preparation and measurement by basis choice, thermodynamic exchange, and the imposition of a priori causal models, and how fine-tuning assumptions appear ubiquitously in settings characterized as non-contextual.
arXiv comment21 pp
References in corpus (33)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- An Introduction to Variational Autoencoders
- Hidden Variables and the Two Theorems of John Bell
- Reference frames, superselection rules, and quantum information
- Contextuality for preparations, transformations, and unsharp measurements
- Contextuality supplies the magic for quantum computation
- The Sheaf-Theoretic Structure Of Non-Locality and Contextuality
- Quantum tensor product structures are observable-induced
- Graph-Theoretic Approach to Quantum Correlations
- The lesson of causal discovery algorithms for quantum correlations: Causal explanations of Bell-inequality violations require fine-tuning
- Virtual Quantum Subsystems
- Contextuality in Measurement-based Quantum Computation
- Experimental test of quantum contextuality in neutron interferometry
- The contextual fraction as a measure of contextuality
- Contextuality as a resource for models of quantum computation on qubits
- On Bayesian Mechanics: A Physics of and by Beliefs
- Observables can be tailored to change the entanglement of any pure state
- When the map is better than the territory
- Interpretations of quantum theory: A map of madness
- Entanglement or separability: The choice of how to factorize the algebra of a density matrix
- Contextuality in Canonical Systems of Random Variables
- Simple method for experimentally testing any form of quantum contextuality
- Making better sense of quantum mechanics
- Necessary and sufficient condition for quantum state-independent contextuality
- Quantum Advantage from Sequential-Transformation Contextuality
- Converting contextuality into nonlocality
- Contextuality as a resource for measurement-based quantum computation beyond qubits
- Quantum theory of preparation and measurement
- The physical meaning of the holographic principle
- Entanglement for all quantum states
- Quantum Measurements and Contextuality
- Contextuality, Fine-Tuning, and Teleological Explanation
- Contexts in Quantum Measurement Theory