典型文献
Quantum speed limit for mixed states in a unitary system
文献摘要：
Since the evolution of a mixed state in a unitary system is equivalent to the joint evolution of the eigenvectors contained in it,we could use the tool of instantaneous angular velocity for pure states to study the quantum speed limit(QSL)of a mixed state.We derive a lower bound for the evolution time of a mixed state to a target state in a unitary system,which automatically reduces to the quantum speed limit induced by the Fubini-Study metric for pure states.The computation of the QSL of a degenerate mixed state is more complicated than that of a non-degenerate mixed state,where we have to make a singular value decomposition(SVD)on the inner product between the two eigenvector matrices of the initial and target states.By combing these results,a lower bound for the evolution time of a general mixed state is presented.In order to compare the tightness among the lower bound proposed here and lower bounds reported in the references,two examples in a single-qubit system and in a single-qutrit system are studied analytically and numerically,respectively.All conclusions derived in this work are independent of the eigenvalues of the mixed state,which is in accord with the evolution properties of a quantum unitary system.
文献关键词：
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作者姓名：
Jie-Hui Huang;Li-Guo Qin;Guang-Long Chen;Li-Yun Hu;Fu-Yao Liu
作者机构：
School of Mathematics,Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China;College of Physics and Communication Electronics,Jiangxi Normal University,Nanchang 330022,China
文献出处：
引用格式：
[1]Jie-Hui Huang;Li-Guo Qin;Guang-Long Chen;Li-Yun Hu;Fu-Yao Liu-.Quantum speed limit for mixed states in a unitary system)[J].中国物理B（英文版）,2022(11):265-272
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0.505042
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