2 code implementations • 11 Dec 2018 • Fernando G. S. L. Brandao, Michael Broughton, Edward Farhi, Sam Gutmann, Hartmut Neven
For higher depth circuits the numerics also show concentration and we argue for this using the Law of Large Numbers.
Quantum Physics
no code implementations • 18 Dec 2014 • Edward Farhi, Jeffrey Goldstone, Sam Gutmann
We also show that in the typical case the quantum computer will output a string that satisfies $\left(\frac{1}{2}+ \frac{1}{2\sqrt{3e}\, D^{1/2}}\right)$ times the number of equations.
Quantum Physics
12 code implementations • 14 Nov 2014 • Edward Farhi, Jeffrey Goldstone, Sam Gutmann
If p grows with the input size a different strategy is proposed.
Quantum Physics
no code implementations • 28 Jan 2000 • Edward Farhi, Jeffrey Goldstone, Sam Gutmann, Michael Sipser
We give some special symmetric cases of the satisfiability problem where the symmetry allows us to estimate the gap and we show that, in these cases, our algorithm runs in polynomial time.
Quantum Physics
