35 citations · 122 across the 10 of their papers we have counts for
10 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…
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…
Equivalence of cost concentration and gradient vanishing for quantum circuits: An elementary proof in the Riemannian formulation
Qiang Miao, Thomas Barthel
The optimization of quantum circuits can be hampered by a decay of average gradient amplitudes with increasing system size. When the decay is exponential, this is called the barren…
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…
Quantum-classical eigensolver using multiscale entanglement renormalization
Qiang Miao, Thomas Barthel
We propose a variational quantum eigensolver (VQE) for the simulation of strongly-correlated quantum matter based on a multi-scale entanglement renormalization ansatz (MERA) and gr…
Eigenstate entanglement scaling for critical interacting spin chains
Qiang Miao, Thomas Barthel
With increasing subsystem size and energy, bipartite entanglement entropies of energy eigenstates cross over from the groundstate scaling to a volume law. In previous work, we poin…
Scaling functions for eigenstate entanglement crossovers in harmonic lattices
Thomas Barthel, Qiang Miao
For quantum matter, eigenstate entanglement entropies obey an area law or log-area law at low energies and small subsystem sizes and cross over to volume laws for high energies and…
Eigenstate entanglement: Crossover from the ground state to volume laws
Qiang Miao, Thomas Barthel
For the typical quantum many-body systems that obey the eigenstate thermalization hypothesis (ETH), we argue that the entanglement entropy of (almost) all energy eigenstates is des…