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10.1098/rspa.2015.0883

http://scihub22266oqcxt.onion/10.1098/rspa.2015.0883
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C5014099!5014099!27616914
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suck abstract from ncbi

pmid27616914      Proc+Math+Phys+Eng+Sci 2016 ; 472 (2192): ä
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  • Constructor theory of probability #MMPMID27616914
  • Marletto C
  • Proc Math Phys Eng Sci 2016[Aug]; 472 (2192): ä PMID27616914show ga
  • Unitary quantum theory, having no Born Rule, is non-probabilistic. Hence the notorious problem of reconciling it with the unpredictability and appearance of stochasticity in quantum measurements. Generalizing and improving upon the so-called ?decision-theoretic approach?, I shall recast that problem in the recently proposed constructor theory of information?where quantum theory is represented as one of a class of superinformation theories, which are local, non-probabilistic theories conforming to certain constructor-theoretic conditions. I prove that the unpredictability of measurement outcomes (to which constructor theory gives an exact meaning) necessarily arises in superinformation theories. Then I explain how the appearance of stochasticity in (finitely many) repeated measurements can arise under superinformation theories. And I establish sufficient conditions for a superinformation theory to inform decisions (made under it) as if it were probabilistic, via a Deutsch?Wallace-type argument?thus defining a class of decision-supporting superinformation theories. This broadens the domain of applicability of that argument to cover constructor-theory compliant theories. In addition, in this version some of the argument's assumptions, previously construed as merely decision-theoretic, follow from physical properties expressed by constructor-theoretic principles.
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