According to [this](https://arxiv.org/abs/quant-ph/9701019) paper,
"If we wish to simulate the $n$-particle Schrodinger equation in d dimensions, one approach is to discretize space. If we discretize so that the particles move on a spatial lattice with $l$ lattice sites in each direction, the number of independent components of the $n$-particle wavefunction grows as $l^{dn}$. Even for $d = 3$, for reasonably large values of $l$ and $n$ this number becomes extremely large. If we wish to simulate the system on a classical computer, the number of independent components in the wavefunction is a…