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Aiming at the problem that quasi-cyclic low density parity check (QC-LDPC) codes may have the error floor in the high signal to noise ratio (SNR) region, a new construction method of the QC-LDPC codes with the low error floor is proposed. The basic matrix of the method is based on the progressive edge growth (PEG) algorithm and the improved eliminate elementary trapping sets (EETS) algorithm so as...
We present an efficient implementation of the hierarchical mean-field theory with large block in quantum spin systems. The wave function is a product of the large block states. Each large block state is a superposition of products of small block states. Our result is very close to that of the hierarchical mean-field in a numerical cost effective way. We test our method on a frustrated spin lattice...
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