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The Hilbert space formalism is a powerful language to express many cognitive phenomena. Here, relevant concepts from signal detection theory are recast in that language, allowing an empirically testable extension of the quantum probability formalism to psychophysical measures, such as detectability and discriminability.


Marcus Vinícius C Baldo. Signal detection theory in Hilbert space. The Behavioral and brain sciences. 2013 Jun;36(3):277-8

PMID: 23673024

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