Consistent Sets Yield Contrary Inferences in Quantum Theory
Abstract
In the consistent histories formulation of quantum theory, the probabilistic predictions and retrodictions made from observed data depend on the choice of a consistent set. We show that this freedom allows the formalism to retrodict contrary propositions which correspond to orthogonal commuting projections and which each have probability one. We also show that the formalism makes contrary probability one predictions when applied to GellMann and Hartle's generalized timeneutral quantum mechanics.
 Publication:

Physical Review Letters
 Pub Date:
 April 1997
 DOI:
 10.1103/PhysRevLett.78.2874
 arXiv:
 arXiv:grqc/9604012
 Bibcode:
 1997PhRvL..78.2874K
 Keywords:

 General Relativity and Quantum Cosmology;
 Condensed Matter;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 10 pages, TeX with harvmac. Revised version, with extended discussion and references added. To appear in Phys. Rev. Lett