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factorizability

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. The condition of being factorizable

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

c. 1906 factorizable +‎ -ity

Examples

  • In arguments for the failure of factorizability, it is presupposed that the distant measurement outcomes in the EPR/B experiment are real physical events.

    Action at a Distance in Quantum Mechanics

  • The analysis of factorizability: implications for quantum non-locality

    Action at a Distance in Quantum Mechanics

  • The motivation for this focus was that, granted plausible assumptions, factorizability must fail (see section 2), and its failure implies some type of non-locality (see sections 2-8).

    Action at a Distance in Quantum Mechanics

  • Some, notably Cartwright (1989) and Chang and Cartwright (1993), challenge the assumption that common causes always screen off the correlation between their effects, and accordingly they question the idea that non-factorizability implies non-locality.

    Action at a Distance in Quantum Mechanics

  • As we shall see below, non-factorizability also implies superluminal causal dependence according to certain accounts of causation.

    Action at a Distance in Quantum Mechanics

  • In sections 5-7, we considered the nature of quantum non-locality as depicted by theories that violate factorizability, i.e., the assumption that the probability of joint measurement outcomes factorizes into the single probabilities of these outcomes.

    Action at a Distance in Quantum Mechanics

  • Another way to get around Bell's argument for non-locality in the EPR/B experiment is to construct a model of this experiment that satisfies factorizability but violates λ-independence (i.e., the assumption that the distribution of all the possible pairs 'states in the EPR/B experiment is independent of the measured quantities).

    Action at a Distance in Quantum Mechanics

  • Furthermore, while a violation of λ-independence provides a way out of Bell's theorem, it does not necessarily imply locality; for the violation of λ-independence is compatible with the failure of factorizability.

    Action at a Distance in Quantum Mechanics

  • Recalling section 3, factorizability can be analyzed into a conjunction of two conditions:

    Action at a Distance in Quantum Mechanics

  • In all the above interpretations of quantum mechanics, the failure of factorizability (i.e., the failure of the joint probability of the measurement outcomes in the EPR/B experiment to factorize into their single probabilities) involves non-separability, holism and/or some type of action at a distance.

    Action at a Distance in Quantum Mechanics

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