论文标题
通过Hilbert-Schmidt速度见证量子过程的非马克维亚效应
Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
论文作者
论文摘要
非马克维亚效应可以加快量子系统的动力学加快，而演变时间的限制可以通过量子统计速度的量词得出。我们介绍了一个证人，以通过Hilbert-Schmidt Speed（HSS）来表征量子进化的非马克维亚性，这是一种特殊类型的量子统计速度。该证人的优点是不需要对变化的密度矩阵对角化。通过考虑开放量子系统的几个范式实例（例如一个受相互交流噪声和保利通道）的范式实例来研究其敏感性，两个独立的量子位与漏水的腔体，V型和$λ$ -Type的三级原子（Qutrit）在消散性腔中局部相互作用。我们表明，拟议的基于HSS的非马克维亚见证人检测到与良好的基于痕量距离的证人一致的记忆效应，对系统环境信息的敏感。
Non-Markovian effects can speed up the dynamics of quantum systems while the limits of the evolution time can be derived by quantifiers of quantum statistical speed. We introduce a witness for characterizing the non-Markovianity of quantum evolutions through the Hilbert-Schmidt speed (HSS), which is a special type of quantum statistical speed. This witness has the advantage of not requiring diagonalization of evolved density matrix. Its sensitivity is investigated by considering several paradigmatic instances of open quantum systems, such as one qubit subject to phase-covariant noise and Pauli channel, two independent qubits locally interacting with leaky cavities, V-type and $Λ$-type three-level atom (qutrit) in a dissipative cavity. We show that the proposed HSS-based non-Markovianity witness detects memory effects in agreement with the well-established trace distance-based witness, being sensitive to system-environment information backflows.
