论文标题
开放量子系统的痕量距离的速度限制
Speed limits of the trace distance for open quantum system
论文作者
论文摘要
我们研究了由Lindblad型量子主方程描述的开放量子系统中状态转换的速度限制。我们获得了通过相互作用图片中初始状态和最终状态之间的痕量距离所描述的总熵产生的通用界限。我们的边界可能比VU和谷川的边界更紧[Phys。莱特牧师。 126，010601（2021）]，测量初始和最终状态的特征值的距离：此距离小于或等于痕量距离。因此，我们的结果可以显着改善VU-Hasegawa的界限。 Schrödinger图片中的痕量距离受相互作用图片中的痕量距离和仅由量子主方程中的哈密顿量描述的单位动力学的痕量距离的总和。
We investigate the speed limit of the state transformation in open quantum systems described by the Lindblad type quantum master equation. We obtain universal bounds of the total entropy production described by the trace distance between the initial and final states in the interaction picture. Our bounds can be tighter than the bound of Vu and Hasegawa [Phys. Rev. Lett. 126, 010601 (2021)] which measures the distance by the eigenvalues of the initial and final states: This distance is less than or equal to the trace distance. For this reason, our results can significantly improve Vu-Hasegawa's bound. The trace distance in the Schrödinger picture is bounded by a sum of the trace distance in the interaction picture and the trace distance for unitary dynamics described by only the Hamiltonian in the quantum master equation.
