4 papers
Probing Entanglement Scaling Across a Quantum Phase Transition on a Quantum Computer
Qiang Miao, Tianyi Wang, Kenneth R. Brown +2
The investigation of strongly-correlated quantum matter is difficult due to the curse of dimensionality and intricate entanglement structures. These challenges are particularly pro…
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…
Scaling of contraction costs for entanglement renormalization algorithms including tensor Trotterization and variational Monte Carlo
Thomas Barthel, Qiang Miao
The multi-scale entanglement renormalization ansatz (MERA) is a hierarchical class of tensor network states motivated by the real-space renormalization group. It is used to simulat…