activity
20182026
most citedA Kaczmarz-inspired approach to accelerate the optimization of neural network wavefunctions

19 citations · 32 across the 13 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

quant-ph2020

Short proof of a spectral Chernoff bound for local Hamiltonians

Nilin Abrahamsen

We give a simple proof of a Chernoff bound for the spectrum of a -local Hamiltonian based on Weyl's inequalities. The complexity of estimating the spectrum's -th quantile…

quant-ph2020

Solving degenerate 2D frustration-free spin systems in sub-exponential time

Nilin Abrahamsen

We give an improved analysis of approximate ground space projectors (AGSPs) to obtain a sharp error reduction bound in the setting a degenerate ground space. The improved tools imp…

quant-ph2020★ 3 cited

Sharp implications of AGSPs for degenerate ground spaces

Nilin Abrahamsen

We generalize the `off-the-rack' AGSPentanglement bound implication of [Arad, Landau, and Vazirani '12] from unique ground states to degenerate ground spaces. Our cond…