  The interpretation of quantum theory is one of the longest-standing debates
in physics. Type I interpretations see quantum probabilities as determined by
intrinsic properties of the observed system. Type II see them as relational
experiences between an observer and the system. It is usually believed that a
decision between these two options cannot be made simply on purely physical
grounds but requires an act of metaphysical judgment. Here we show that, under
some assumptions, the problem is decidable using thermodynamics. We prove that
type I interpretations are incompatible with the following assumptions: (i) The
choice of which measurement is performed can be made randomly and independently
of the system under observation, (ii) the system has limited memory, and (iii)
Landauer's erasure principle holds.
