It maps to a finite length binary number if you force the particle into one of two states. So you could think of this universe as equidistant (in time) instants of a continuous universe where positions are measured, then they’re let to evolve and then positions are measured again. The binary strings refer only to the snapshots where the continuous universe is measured.
This ignores the fact that there must be something to measure the particles with. The goal of this thought experiment is to play around with the Born rule while ignoring the time evolution of a wave function governed by the Schrödinger equation.
It maps to a finite length binary number if you force the particle into one of two states. So you could think of this universe as equidistant (in time) instants of a continuous universe where positions are measured, then they’re let to evolve and then positions are measured again. The binary strings refer only to the snapshots where the continuous universe is measured.
This ignores the fact that there must be something to measure the particles with. The goal of this thought experiment is to play around with the Born rule while ignoring the time evolution of a wave function governed by the Schrödinger equation.