I am reading Quantum Comuputing Explained by David McMohan. Here is a portion which I am not able to understand.
Let $x$ be the position and $p$ be the momentum of the particle, then we know that $$[x,p]=i \hbar$$. Above equation tells us, $x$ and $p$ do not have simultaneous eigenstates.
Can someone please explain how we can conclude from the above equation that $x$ and $p$ do not have simultaneous eigenstates?