Counting defects in quantum computers with Graphics Processing Units

We show how to simulate the dynamics of many body quantum systems using Graphics Processing Units or a similar heterogeneous architecture. In particular, we focus on the one dimensional quantum Ising model. Its entire time evolution is computed in parallel. The dynamics of this model provides a valuable information regarding defects created during quantum annealing. Counting such imperfections comprise a perfect test for assessing correctness of adiabatic quantum computing (B. Gardas et al. (2017) [11]). A fast method to calculate topological defects even when some types of decoherence are present is described.