Quantum theories from principles without assuming a definite causal structure

Ding Jia (贾丁)
Phys. Rev. A 98, 032112 – Published 19 September 2018

Abstract

There has been a body of work deriving the complex Hilbert-space structure of quantum theory from axioms/principles/postulates to deepen our understanding of quantum theory and to reveal ways to go beyond it to resolve foundational issues. Recent progress in incorporating indefinite causal structure into physical theories suggests that a more comprehensive understanding of both quantum theory and the theory beyond it accounts for indefinite causal structure. We formulate a framework of physical theories without assuming definite causal structure and identify postulates that single out the complex Hilbert-space structure. More than one complex Hilbert-space theory is compatible with the postulates, which leaves room for further search for the best among these theories.

  • Received 30 June 2018

DOI:https://doi.org/10.1103/PhysRevA.98.032112

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral PhysicsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Ding Jia (贾丁)*

  • Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada and Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada

  • *ding.jia@uwaterloo.ca

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Issue

Vol. 98, Iss. 3 — September 2018

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