تقرير
Error bounds for Lie Group representations in quantum mechanics
| العنوان: | Error bounds for Lie Group representations in quantum mechanics |
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| المؤلفون: | van Luijk, Lauritz, Galke, Niklas, Hahn, Alexander, Burgarth, Daniel |
| المصدر: | Journal of Physics A: Mathematical and Theoretical 57, 105301 (2024) |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Mathematical Physics |
| الوصف: | We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a state in terms of the energy with respect to a reference Hamiltonian associated to the representation and a left-invariant metric distance on the group. Our method works for any connected Lie group and the metric is independent of the chosen representation. The approach also applies to projective representations and allows us to provide bounds on the energy constrained diamond norm distance of any suitably continuous channel representation of the group. Comment: 31 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/ad288b |
| URL الوصول: | http://arxiv.org/abs/2211.08582 |
| رقم الأكسشن: | edsarx.2211.08582 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/ad288b |
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