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arXiv:quant-ph/9710003 · Foundations of Physics Letters

Incompatible and contradictory retrodictions in the history approach to quantum mechanics

Giulio Peruzzi, A. Rimini

Published Jan 1, 1998• 2 citations
arXivHTMLPDF
DOI
10.1023/a:1022414616761

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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 Gell-Mann and Hartle's generalized time-neutral quantum mechanics.