19 citations · 32 across the 13 of their papers we have counts for
5 papers · 1 filter
Entanglement area law for 1D gauge theories and bosonic systems
Nilin Abrahamsen, Yu Tong, Ning Bao +2
We prove an entanglement area law for a class of 1D quantum systems involving infinite-dimensional local Hilbert spaces. This class of quantum systems include bosonic models such a…
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…
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…
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…
A polynomial-time algorithm for ground states of spin trees
Nilin Abrahamsen
We prove that the ground states of a local Hamiltonian satisfy an area law and can be computed in polynomial time when the interaction graph is a tree with discrete fractal dimensi…