论文标题
量子力学中谎言组表示的错误范围
Error bounds for Lie Group representations in quantum mechanics
论文作者
论文摘要
我们为连接的谎言组的强烈连续统一表示提供了依赖状态的误差界限。也就是说，我们将两个单位物的差异与与代表形式相关的参考汉密尔顿和组上的左右距离的参考汉密尔顿式的差异结合在一起。我们的方法适用于任何连接的谎言组，指标与所选表示形式无关。该方法还适用于投影表示形式，使我们能够在该组的任何合适的连续信道表示的能量约束钻石规范距离上提供界限。
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.
