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math.OC2024
Global convergence of gradient descent for phase retrieval
Théodore Fougereux, Cédric Josz, Xiaopeng Li
We propose a tensor-based criterion for benign landscape in phase retrieval and establish boundedness of gradient trajectories. This implies that gradient descent will converge to…
cond-mat.mes-hall2024★ 4 cited
Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
Tianyu Huang, Rui Zhang, Xiaopeng Li +3
Majorana zero modes (MZMs) are the most intensively studied non-Abelian anyons. The Dirac fermion zero modes in topological insulators, which are symmetry-protected doubling of MZM…
quant-ph2024★ 2 cited
Complexity enriched dynamical phases for fermions on graphs
Wei Xia, Jie Zou, Xiaopeng Li
Dynamical quantum phase transitions, encompassing phenomena like many-body localization transitions and measurement-induced phase transitions, are often characterized and identifie…