405 citations · 2.8k across the 45 of their papers we have counts for
45 papers
Machine learning with tree tensor networks, CP rank constraints, and tensor dropout
Hao Chen, Thomas Barthel
Tensor networks developed in the context of condensed matter physics try to approximate order- tensors with a reduced number of degrees of freedom that is only polynomial in …
Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus
Qiang Miao, Thomas Barthel
We explain why and numerically confirm that there are no barren plateaus in the energy optimization of isometric tensor network states (TNS) for extensive Hamiltonians with finite-…
Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
Thomas Barthel, Qiang Miao
Vanishing gradients can pose substantial obstacles for high-dimensional optimization problems. Here we consider energy minimization problems for quantum many-body systems with exte…
Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
Qiang Miao, Thomas Barthel
Strongly-correlated quantum many-body systems are difficult to study and simulate classically. We recently proposed a variational quantum eigensolver (VQE) based on the multiscale…
Tensor Network States with Low-Rank Tensors
Hao Chen, Thomas Barthel
Tensor networks are used to efficiently approximate states of strongly-correlated quantum many-body systems. More generally, tensor network approximations may allow to reduce the c…
Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
Yikang Zhang, Thomas Barthel
We study the steady states of translation-invariant open quantum many-body systems governed by Lindblad master equations, where the Hamiltonian is quadratic in the ladder operators…