The equations of classical physics are time reversible -- unchanged when $t$ is replaced by $-t$. The Schrodinger equation in quantum mechanics is time reversible -- unchanged when $t$ is replaced by $-t$ and $i$ by $-i$ (because only $\psi \psi^*$ has physical meaning).
But the thing that is time irreversible in quantum mechanics is the collapse of the wave function upon observation. Are there alternative interpretations that do not postulate the collapse and preserve time reversibility? One such is the many-universe theory. Are there others and what are their pros and cons?