Discussion of Probability Relations between Separated Systems

@article{Schrdinger1935DiscussionOP,
  title={Discussion of Probability Relations between Separated Systems},
  author={Erwin Schr{\"o}dinger},
  journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  year={1935},
  volume={31},
  pages={555 - 563}
}
  • E. Schrödinger
  • Published 1 October 1935
  • Mathematics
  • Mathematical Proceedings of the Cambridge Philosophical Society
The probability relations which can occur between two separated physical systems are discussed, on the assumption that their state is known by a representative in common. The two families of observables, relating to the first and to the second system respectively, are linked by at least one match between two definite members, one of either family. The word match is short for stating that the values of the two observables in question determine each other uniquely and therefore (since the actual… 

Quantum entanglement for systems of identical bosons: I. General features

These two accompanying papers are concerned with two mode entanglement for systems of identical massive bosons and the relationship to spin squeezing and other quantum correlation effects.

Interaction, Locality and Measurement

Given two systems with configuration spaces X and Y, we consider their joint description on the configuration space given by the set product \(X \times Y\). In the formalism of ensembles on

Characterisation of an entanglement-free evolution

Two or more quantum systems are said to be in an entangled or non-factorisable state if their joint (supposedly pure) wave-function is not expressible as a product of individual wave functions but is

Quantum Entanglement, Interaction, And The Classical Limit

Two or more quantum systems are said to be in an entangled or non-factorisable state if their joint (supposedly pure) wave-function is not expressible as a product of individual wave functions but is

Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference

Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as it has been developed so far is not complete. Whereas the manner in which inferences are made in

Mathematical Approach to Distant Correlations of Physical Observables and Its Fractal Generalisation

In this paper, the new mathematical correlation of two quantum systems that were initially allowed to interact and then separated is being formulated and analyzed. These correlations are illustrated

Entanglement and thermodynamics in general probabilistic theories

This work addresses the question whether an entangled state can be transformed into another by means of local operations and classical communication and proves a general version of the Lo-Popescu theorem, which lies at the foundations of the theory of pure-state entanglement.

Dialogue Concerning Two Views on Quantum Coherence: Factist and Fictionist

A pedagogical introduction to the debate in the form of a hypothetical dialogue between proponents from each of the two camps: a factist and a fictionist, concluding that the two views are alternative but equally valid paradigms of description.

ENTANGLEMENT, LOCALITY, AND SEPARABILITY: A TREATISE ON DIFFERENT VIEWPOINTS

Within the framework of a statistical interpretation of quantum mechanics, entanglement (in a mathematical sense) manifests itself in the non-separability of the statistical operator ρ representing

Mutual uncertainty, conditional uncertainty, and strong subadditivity

We introduce a concept, called the mutual uncertainty between two observables in a given quantum state, which enjoys features similar to those of the mutual information for two random variables.
...

References

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.