Quantum advantage with shallow circuits

QuICS Seminar

Speaker: 
David Gosset (IBM)
Time: 
Wednesday, June 28 2017 at 11:00 am
Location: 
CSS 3100A

We prove that constant-depth quantum circuits are more powerful than their classical counterparts. We describe an explicit (i.e., non-oracular) computational problem which can be solved with certainty by a constant-depth quantum circuit composed of one- and two-qubit gates. In contrast, we prove that any classical probabilistic circuit composed of bounded fan-in gates that solves the problem with high probability must have depth logarithmic in the input size. This is joint work with Sergey Bravyi and Robert Koenig (arXiv:1704.00690).