A quantum reference frame size-accuracy trade-off for quantum channels

• URL: http://arxiv.org/abs/2006.14247v3
• Date: Thu, 12 Nov 2020 08:20:33 GMT
• Title: A quantum reference frame size-accuracy trade-off for quantum channels
• Authors: Takayuki Miyadera and Leon Loveridge
• Abstract summary: We show 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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