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On the origin of nonclassicality in single systems

Quantum Physics 2022-06-10 v2

Abstract

In the framework of certain general probability theories of single systems, we identify various nonclassical features such as incompatibility, multiple pure-state decomposability, measurement disturbance, no-cloning and the impossibility of certain universal operations, with the non-simpliciality of the state space. This is shown to naturally suggest an underlying simplex as an ontological model. Contextuality turns out to be an independent nonclassical feature, arising from the intransitivity of compatibility.

Keywords

Cite

@article{arxiv.1607.01768,
  title  = {On the origin of nonclassicality in single systems},
  author = {S. Aravinda and R. Srikanth and Anirban Pathak},
  journal= {arXiv preprint arXiv:1607.01768},
  year   = {2022}
}

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R2 v1 2026-06-22T14:47:30.133Z