1.5k citations · 14.6k across the 99 of their papers we have counts for
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quant-ph2014★ 8 cited
On complexity of the quantum Ising model
Sergey Bravyi, Matthew Hastings
We study complexity of several problems related to the Transverse field Ising Model (TIM). First, we consider the problem of estimating the ground state energy known as the Local H…
quant-ph2014★ 221 cited
Efficient Algorithms for Maximum Likelihood Decoding in the Surface Code
Sergey Bravyi, Martin Suchara, Alexander Vargo
We describe two implementations of the optimal error correction algorithm known as the maximum likelihood decoder (MLD) for the 2D surface code with a noiseless syndrome extraction…
quant-ph2014★ 12 cited
Monte Carlo simulation of stoquastic Hamiltonians
Sergey Bravyi
Stoquastic Hamiltonians are characterized by the property that their off-diagonal matrix elements in the standard product basis are real and non-positive. Many interesting quantum…