11 citations · 23 across the 10 of their papers we have counts for
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math-ph2018
Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank
Yi Jiang, Ilya Dumer, Alexey A. Kovalev +1
We consider pairs of few-body Ising models where each spin enters a bounded number of interaction terms (bonds), such that each model can be obtained from the dual of the other aft…
quant-ph2018
Numerical and analytical bounds on threshold error rates for hypergraph-product codes
Alexey A. Kovalev, Sanjay Prabhakar, Ilya Dumer +1
We study analytically and numerically decoding properties of finite rate hypergraph-product quantum LDPC codes obtained from random (3,4)-regular Gallager codes, with a simple mode…