A first for physics: Fundamental quantum physics problem proved unsolvable
<i>The proof combines Hamiltonian complexity techniques with aperiodic tilings, to construct a Hamiltonian whose ground state encodes the evolution of a quantum phase-estimation algorithm followed by a universal Turing machine.</i><p>Just when I thought linking quantum mechanics with Turing completeness was cool, they went one step further and linked them using aperiodic tilings.