Quantum theory of probability and decisions

@article{Deutsch1999QuantumTO,
  title={Quantum theory of probability and decisions},
  author={David Deutsch},
  journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
  year={1999},
  volume={455},
  pages={3129 - 3137}
}
  • D. Deutsch
  • Published 4 June 1999
  • Philosophy, Physics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
The probabilistic predictions of quantum theory are conventionally obtained from a special probabilistic axiom. But that is unnecessary because all the practical consequences of such predictions follow from the remaining non–probabilistic axioms of quantum theory, together with the non–probabilistic part of classical decision theory. 
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References

SHOWING 1-10 OF 19 REFERENCES
Quantum mechanics near closed timelike lines.
  • Deutsch
  • Physics
    Physical review. D, Particles and fields
  • 1991
TLDR
Several novel and distinctive quantum-mechanical effects occur on and near closed timelike lines, including violations of the correspondence principle and of unitarity, and consideration of these sheds light on the nature of quantum mechanics.
"Relative State" Formulation of Quantum Mechanics
The task of quantizing general relativity raises serious questions about the meaning of the present formulation and interpretation of quantum mechanics when applied to so fundamental a structure as
Decoherence functional and probability interpretation.
  • Ohkuwa
  • Physics
    Physical review. D, Particles and fields
  • 1993
We confirm that the diagonal elements of the Gell-Mann-Hartle decoherence functional are equal to the relative frequencies of the results of many identical experiments, when a set of alternative
Breakdown of Predictability in Gravitational Collapse
The principle of equivalence, which says that gravity couples to the energy-momentum tensor of matter, and the quantum-mechanical requirement that energy should be positive imply that gravity is
SECTION OF PHYSICAL SCIENCES: THE LOGIC OF QUANTUM PHYSICS*
Phys. Rev. D
  • Phys. Rev. D
  • 1993
Phys. Rev
  • Phys. Rev
  • 1991
Rev. Mod. Phys
  • Rev. Mod. Phys
  • 1957
Phys. Rev. D
  • Phys. Rev. D
  • 1991
...
...