A quantum reference frame size-accuracy trade-off for quantum channels
Peer reviewed, Journal article
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OriginalversjonMiyadera, T., & Loveridge, L. (2020). A quantum reference frame size-accuracy trade-off for quantum channels. Journal of Physics: Conference Series, 1638, 012008. https://doi.org/10.1088/1742-6596/1638/1/012008
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.