Complexity in One- and Two-Qubit Systems
High Energy Physics - Theory
2020-10-29 v1
Abstract
We numerically analyze the complexity of unitary time-evolution and precursor operators in one- and two-qubit systems using the framework of Nielsen complexity geometry. We find that, as expected, the complexities of unitary time evolution operators grow linearly with time, at least initially, for both the one- and two-qubit cases. The precursor operators display switchback-effect-like behavior provided we choose our cost factors so that the resulting complexity geometry is negatively curved.
Keywords
Cite
@article{arxiv.2010.15099,
title = {Complexity in One- and Two-Qubit Systems},
author = {Reginald J. Caginalp and Samuel Leutheusser},
journal= {arXiv preprint arXiv:2010.15099},
year = {2020}
}