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Duality of quantum and classical error correction codes: Design principles and examples
Quantum error correction codes (QECCs) can be constructed from the known classical
coding paradigm by exploiting the inherent isomorphism between the classical and quantum …
coding paradigm by exploiting the inherent isomorphism between the classical and quantum …
Fifteen years of quantum LDPC coding and improved decoding strategies
The near-capacity performance of classical low-density parity check (LDPC) codes and their
efficient iterative decoding makes quantum LDPC (QLPDC) codes a promising candidate for …
efficient iterative decoding makes quantum LDPC (QLPDC) codes a promising candidate for …
Quantum Information Processing, Sensing, and Communications: Their Myths, Realities, and Futures
The recent advances in quantum information processing, sensing, and communications are
surveyed with the objective of identifying the associated knowledge gaps and formulating a …
surveyed with the objective of identifying the associated knowledge gaps and formulating a …
Decoherence and quantum error correction for quantum computing and communications
JE Martinez - arxiv preprint arxiv:2202.08600, 2022 - arxiv.org
Quantum technologies have shown immeasurable potential to effectively solve several
information processing tasks such as prime number factorization, unstructured database …
information processing tasks such as prime number factorization, unstructured database …
An infinite class of quantum codes derived from duadic constacyclic codes
We present a family of quantum stabilizer codes using the structure of duadic constacyclic
codes over $\mathbb {F} _4 $. Within this family, quantum codes can possess varying …
codes over $\mathbb {F} _4 $. Within this family, quantum codes can possess varying …
Error correction for reliable quantum computing
P Fuentes - arxiv preprint arxiv:2202.08599, 2022 - arxiv.org
Quantum computers herald the arrival of a new era in which previously intractable
computational problems will be solved efficiently. However, quantum technology is held …
computational problems will be solved efficiently. However, quantum technology is held …
Performance of non-CSS LDGM-based quantum codes over the misidentified depolarizing channel
Quantum Low Density Generator Matrix (QLDGM) codes based on Calderbank-Steane-Shor
(CSS) constructions have shown unprecedented error correction capabilities in the …
(CSS) constructions have shown unprecedented error correction capabilities in the …
High-rate quantum low-density parity-check codes assisted by reliable qubits
Y Fujiwara, A Gruner… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Quantum error correction is an important building block for reliable quantum information
processing. A challenging hurdle in the theory of quantum error correction is that it is …
processing. A challenging hurdle in the theory of quantum error correction is that it is …
Analisi dei codici quantistici LDPC per la correzione d'errore
A BALDELLI - 2023 - tesi.univpm.it
Abstract in italiano Le prestazioni vicine alla capacità del canale simmetrico classico dei
codici Low-Density Parity-Check (LDPC), unitamente alla loro efficiente decodifica iterativa …
codici Low-Density Parity-Check (LDPC), unitamente alla loro efficiente decodifica iterativa …
[PDF][PDF] Codici per la correzione d'errore nelle comunicazioni quantistiche
A BALDELLI - 2021 - tesi.univpm.it
I codici per la correzione degli errori quantistici (Quantum Error Correction Codes-QECCs)
possono essere costruiti dal noto paradigma di codifica classico sfruttando l'isomorfismo …
possono essere costruiti dal noto paradigma di codifica classico sfruttando l'isomorfismo …