Results 71 to 80 of about 462,323 (134)

Undetected error probability and throughput analysis of a concatenated coding scheme [PDF]

The performance of a proposed concatenated coding scheme for error control on a NASA telecommand system is analyzed. In this scheme, the inner code is a distance-4 Hamming code used for both error correction and error detection.
Costello, D. J.
core   +1 more source

Analog information decoding of bosonic quantum LDPC codes

, 2023
Quantum error correction is crucial for scalable quantum information processing applications. Traditional discrete-variable quantum codes that use multiple two-level systems to encode logical information can be hardware-intensive. An alternative approach
Berent, Lucas, Eisert, Jens, Hillmann, Timo, Roffe, Joschka, Wille, Robert   +4 more
core  

Multilevel expander codes [PDF]

"Algebraic Coding Theory and Information Theory," Providence, RI: AMS (2005), pp. 69-83., 2005
We define multilevel codes on bipartite graphs that have properties analogous to multilevel serial concatenations. A decoding algorithm is described that corrects a proportion of errors equal to half the Blokh-Zyablov bound on the minimum distance. The error probability of this algorithm has exponent similar to that of serially concatenated multilevel ...
arxiv  

Overhead and noise threshold of fault-tolerant quantum error correction

, 2003
Fault tolerant quantum error correction (QEC) networks are studied by a combination of numerical and approximate analytical treatments. The probability of failure of the recovery operation is calculated for a variety of CSS codes, including large block ...
A.M. Steane, A.M. Steane, A.M. Steane, A.M. Steane, A.M. Steane, A.M. Steane, A.M. Steane, A.R. Calderbank, A.R. Calderbank, Andrew M. Steane, D. Gottesman, D. Gottesman, D.P. DiVincenzo, E. Knill, E. Knill, E. Knill, J. Preskill, P.W. Shor, R. Alicki   +18 more
core   +1 more source

Trellis Decoding for Qudit Stabilizer Codes and Its Application to Qubit Topological Codes

IEEE Transactions on Quantum Engineering
Trellis decoders are a general decoding technique first applied to qubit-based quantum error correction codes by Ollivier and Tillich in 2006. Here, we improve the scalability and practicality of their theory, show that it has strong structure, extend ...
Eric Sabo, Arun B. Aloshious, Kenneth R. Brown   +2 more
doaj   +1 more source

Local Fault-tolerant Quantum Computation

, 2005
We analyze and study the effects of locality on the fault-tolerance threshold for quantum computation. We analytically estimate how the threshold will depend on a scale parameter r which estimates the scale-up in the size of the circuit due to encoding ...
A. Steane, A. Steane, Barbara M. Terhal, D. Aharonov, D. Gottesman, David P. DiVincenzo, E. Knill, J. Preskill, Krysta M. Svore   +8 more
core   +1 more source

Bounds on concatenated entanglement-assisted quantum error-correcting codes [PDF]

arXiv
Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of pre-shared entanglement to enhance the rate of error correction and communication. We study the concatenation of EAQECCs, in specific showing how the order of concatenation affects the number of ebits consumed, the logical error probability, the pseudo-threshold, and the ...
arxiv  

Error-Correcting Regenerating and Locally Repairable Codes via Rank-Metric Codes [PDF]

arXiv, 2013
This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable codes. The concatenated coding scheme brings together a maximum rank distance (MRD) code as an outer code and ...
arxiv  

Error coding simulations in C [PDF]

When data is transmitted through a noisy channel, errors are produced within the data rendering it indecipherable. Through the use of error control coding techniques, the bit error rate can be reduced to any desired level without sacrificing the ...
Noble, Viveca K.
core   +1 more source

Quantum memory based on concatenating surface codes and quantum Hamming codes [PDF]

arXiv
Designing quantum error correcting codes that promise a high error threshold, low resource overhead and efficient decoding algorithms is crucial to achieve large-scale fault-tolerant quantum computation. The concatenated quantum Hamming code is one of the potential candidates that allows for constant space overhead and efficient decoding.
arxiv