48 citations · 238 across the 15 of their papers we have counts for
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Local geometry and quantum geometric tensor of mixed states
Xu-Yang Hou, Zheng Zhou, Xin Wang +2
The quantum geometric tensor (QGT) is a fundamental concept for characterizing the local geometry of quantum states. After casting the geometry of pure quantum states and extractin…
Localization of quantum walk with classical randomness: Comparison between manual methods and supervised machine learning
Christopher Mastandrea, Chih-Chun Chien
A transition of quantum walk induced by classical randomness changes the probability distribution of the walker from a two-peak structure to a single-peak one when the random param…
Finite-temperature topological phase transitions of spin- systems in Uhlmann processes: General formalism and experimental protocols
Xu-Yang Hou, Hao Guo, Chih-Chun Chien
The Uhlmann process is built on the density matrix of a mixed quantum state and offers a way to characterize topological properties at finite temperatures. We analyze an ideal spin…
Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
Xu-Yang Hou, Qu-Cheng Gao, Hao Guo +3
The Loschmidt amplitude of the purified states of mixed-state density matrices is shown to have zeros when the system undergoes a quasistatic, quench, or Uhlmann process. While the…
Dynamic process and Uhlmann process: Incompatibility and dynamic phase of mixed quantum states
Hao Guo, Xu-Yang Hou, Yan He +1
While a pure quantum state may accumulate both the Berry phase and dynamic phase as it undergoes a cyclic path in the parameter space, the situation is more complicated when mixed…