288 citations · 1.7k across the 40 of their papers we have counts for
7 papers · 1 filter
Computing local properties in the trivial phase
Yichen Huang
A translation-invariant gapped local Hamiltonian is in the trivial phase if it can be connected to a completely decoupled Hamiltonian with a smooth path of translation-invariant ga…
A simple efficient algorithm in frustration-free one-dimensional gapped systems
Yichen Huang
We propose an efficient algorithm for the ground state of frustration-free one-dimensional gapped Hamiltonians. This algorithm is much simpler than the original one by Landau et al…
Computing energy density in one dimension
Yichen Huang
We study the problem of computing energy density in one-dimensional quantum systems. We show that the ground-state energy per site or per bond can be computed in time (i) independe…
Two-dimensional local Hamiltonian problem with area laws is QMA-complete
Yichen Huang
We show that the two-dimensional (2D) local Hamiltonian problem with the constraint that the ground state obeys area laws is QMA-complete. We also prove similar results in 2D trans…
A polynomial-time algorithm for the ground state of one-dimensional gapped Hamiltonians
Yichen Huang
A (deterministic) polynomial-time algorithm is proposed for approximating the ground state of (general) one-dimensional gapped Hamiltonians. Let be the energy gap, the syst…
Area law in one dimension: Degenerate ground states and Renyi entanglement entropy
Yichen Huang
An area law is proved for the Renyi entanglement entropy of possibly degenerate ground states in one-dimensional gapped quantum systems. Suppose in a chain of spins the ground…