First Simulation Of Quantum Tunnelling On A Quantum Computer - Technology Review: The problem is the sheer complexity of these calculations, which require numerous quantum logic gates processing dozens of qubits. That's always been beyond the state-of-the-art for quantum computing.
Earlier this year, however, Andrew Sornborger at the University of Georgia in Athens showed how the case of a single particle tunnelling through a barrier could be made simple enough to simulate on today's quantum computers. Such a demonstration would be the first example of a digital quantum simulation.
And today Guan Ru Feng and pals at Tsinghua University in Beijing say they've done it. To simulate tunnelling, these guys used a quantum computer that relies on nuclear magnetic resonance to manipulate qubits in encoded in the carbon and hydrogen atoms that make up chloroform molecules. They say this is the ﬁrst demonstration of a quantum tunnelling simulation using an NMR quantum computer.