QUITS is a modular and flexible circuit-level simulator for quantum low-density parity-check (QLDPC) codes. It is designed so users can choose and mix different options for each module independently: ...
Scientists at the Institute of Science Tokyo have announced a breakthrough in quantum error correction that could bring a large-scale quantum computer closer to ...
Abstract: We consider generalized low-density parity-check (GLDPC) codes with component codes that are duals of Cordaro–Wagner codes. Two efficient decoding algorithms are proposed: one based on ...
Simplex codes are a family of binary linear codes that are duals of Hamming codes. For a given integer $m$, the binary simplex code has parameters $[2^m−1,m,2^{m− ...
We derive two families of EA-QC quantum LDPC (EA-QC-QLDPC) codes by tiling permutation matrices of prime and composite orders. The unassisted portion of the Tanner graphs corresponding to these codes, ...
Abstract: This article introduces a novel concatenated coding scheme called sparse regression LDPC (SR-LDPC) codes. An SR-LDPC code consists of an outer non-binary LDPC code and an inner sparse ...
ABSTRACT: In this paper, both the high-complexity near-ML list decoding and the low-complexity belief propagation decoding are tested for some well-known regular and irregular LDPC codes. The ...
Position markers, also known as finder patterns, are the large squares located at three corners of the QR Code. These markers help scanners detect the QR Code and determine its orientation. They are ...