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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 …
Spatially coupled LDPC codes constructed from protographs
In this paper, we construct protograph-based spatially coupled low-density parity-check
(LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner …
(LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner …
Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength
The current best asymptotic lower bound on the minimum distance of quantum LDPC codes
with a fixed non-zero rate is logarithmic in the blocklength. We propose a construction of …
with a fixed non-zero rate is logarithmic in the blocklength. We propose a construction of …
[หนังสือ][B] Quantum information processing, quantum computing, and quantum error correction: an engineering approach
IB Djordjevic - 2021 - books.google.com
The Second Edition of Quantum Information Processing, Quantum Computing, and Quantum
Error Correction: An Engineering Approach presents a self-contained introduction to all …
Error Correction: An Engineering Approach presents a self-contained introduction to all …
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 …
Degeneracy and its impact on the decoding of sparse quantum codes
The well-documented capacity-approaching performance of sparse codes in the realm of
classical communications has inspired the search for their quantum counterparts. Sparse …
classical communications has inspired the search for their quantum counterparts. Sparse …
A decoding algorithm for CSS codes using the X/Z correlations
We propose a simple decoding algorithm for CSS codes taking into account the correlations
between the X part and the Z part of the error. Applying this idea to surface codes, we derive …
between the X part and the Z part of the error. Applying this idea to surface codes, we derive …
Design of quantum LDPC codes from quadratic residue sets
We design classes of quantum low-density paritycheck (LDPC) codes, called quasi-cyclic
stabilizer (QCS) codes, from conventional QC-LDPC codes. The proposed QCS codes …
stabilizer (QCS) codes, from conventional QC-LDPC codes. The proposed QCS codes …
A family of quantum codes with performances close to the hashing bound under iterative decoding
D Maurice, JP Tillich… - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
We propose here a new construction of quantum codes combining an improved version of a
family of spatially coupled quantum LDPC codes, suggested in [1], with a family of error …
family of spatially coupled quantum LDPC codes, suggested in [1], with a family of error …