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Informational derivation of quantum theory

Giulio Chiribella, Giacomo Mauro D’Ariano, and Paolo Perinotti
Phys. Rev. A 84, 012311 – Published 11 July 2011
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  • INTRODUCTION
  • THE FRAMEWORK
  • THE PRINCIPLES
  • FIRST CONSEQUENCES OF THE PRINCIPLES
  • PERFECTLY DISTINGUISHABLE STATES
  • DUALITY BETWEEN PURE STATES AND ATOMIC…
  • DIMENSION
  • DECOMPOSITION INTO PERFECTLY…
  • TELEPORTATION REVISITED
  • DERIVATION OF THE QUBIT
  • PROJECTIONS
  • THE SUPERPOSITION PRINCIPLE
  • DERIVATION OF THE DENSITY MATRIX…
  • CONCLUSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    We derive quantum theory from purely informational principles. Five elementary axioms—causality, perfect distinguishability, ideal compression, local distinguishability, and pure conditioning—define a broad class of theories of information processing that can be regarded as standard. One postulate—purification—singles out quantum theory within this class.

    • Received 29 November 2010

    DOI:https://doi.org/10.1103/PhysRevA.84.012311

    ©2011 American Physical Society

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    Questioning the rules of the game

    Published 11 July 2011

    Can quantum theory be derived from more fundamental principles?

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    Authors & Affiliations

    Giulio Chiribella*

    • Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Ontario, Canada N2L 2Y5†

    Giacomo Mauro D’Ariano‡ and Paolo Perinotti§

    • QUIT Group, Dipartimento di Fisica “A. Volta” and INFN Sezione di Pavia, via Bassi 6, I-27100 Pavia, Italy∥

    • *gchiribella@perimeterinstitute.ca
    • †http://www.perimeterinstitute.ca
    • ‡dariano@unipv.it
    • §paolo.perinotti@unipv.it
    • ∥http://www.qubit.it

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    Issue

    Vol. 84, Iss. 1 — July 2011

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