Degeneracy in quantum LDPC codes equals classical code shortening at the decoder, enabling impulse decoding that beats BP+OSD plus a residual-error follow-up step.
Belief propagation for general graphical models with loops,
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A stochastic MCMC sampling method with umbrella sampling provides unbiased loop corrections to belief propagation for exact factorization-based tensor network contraction on loopy graphs with symmetric potentials.
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Impulse Decoding of Quantum LDPC Codes: Equivalence of Degeneracy and Code-Shortening
Degeneracy in quantum LDPC codes equals classical code shortening at the decoder, enabling impulse decoding that beats BP+OSD plus a residual-error follow-up step.