Eliezer_Yudkowsky comments on The Quantum Arena - Less Wrong

17 Post author: Eliezer_Yudkowsky 15 April 2008 07:00PM

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Comment author: Eliezer_Yudkowsky 17 April 2008 06:42:23AM 0 points [-]

I'd thought the Hilbert space was uncountably dimensional because the number of functions of a real line is uncountable.

A mere typo. I meant, of course, that I'd thought the quantum Hilbert space was uncountably dimensional, because a point in that Hilbert space corresponded to an amplitude distribution over points in a real space, and a function of a real space has uncountable degrees of freedom.