A quantum reference frame size-accuracy trade-off for quantum channels
Quantum Physics
2020-11-13 v3
Abstract
The imposition of symmetry upon the nature and structure of quantum observables has recently been extensively studied, with quantum reference frames playing a crucial role. In this paper, we extend this work to quantum transformations, giving quantitative results showing, in direct analogy to the case of observables, that a "large" reference frame is required for non-covariant channels to be well approximated by covariant ones. We apply our findings to the concrete setting of SU(2) symmetry.
Cite
@article{arxiv.2006.14247,
title = {A quantum reference frame size-accuracy trade-off for quantum channels},
author = {Takayuki Miyadera and Leon Loveridge},
journal= {arXiv preprint arXiv:2006.14247},
year = {2020}
}