Expected Runtime of Quantum Programs
Junyi Liu, Li Zhou, Mingsheng Ying · arXiv (Cornell University) · 2019
Building upon recent work on probabilistic programs, we formally define the notion of expected runtime for quantum programs. A representation of the expected runtimes of quantum programs is introduced with an interpretation as an observable in physics. A method for computing the expected runtimes of quantum programs in finite-dimensional state spaces is developed. Several examples are provided as applications of this method; in particular, an open problem of computing the expected runtime of quantum random walks is solved using our method.