Reciprocal Ontological Models Show Indeterminism Comparable to Quantum Theory
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We show that within the class of ontological models due to Harrigan and Spekkens, those satisfying preparation-measurement reciprocity must allow indeterminism comparable to that in quantum theory. Our result implies that one can design quantum random number generator, for which it is impossible, even in principle, to construct a reciprocal deterministic model.
KeywordsOnotological model Outcome-indeterminism Preparation-measurement reciprocity
MB, GK, SG, and SB would like to thank Ravi Kunjwal for many helpful discussions. MB, GK, and SB would like to acknowledge The Institute of Mathematical Sciences, Chennai for supporting a visit during which part of this work was completed. AM acknowledges support from the CSIR Project 09/03 (0148)/2012-EMR-I. SB is supported in part by DST-SERB Project SR/S2/LOP-18/2012.
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