Results 31 to 40 of about 694,987 (371)

AI Coding: Learning to Construct Error Correction Codes [PDF]

IEEE Transactions on Communications, 2019
In this paper, we investigate an artificial-intelligence (AI) driven approach to design error correction codes (ECC). Classic error-correction code design based upon coding-theoretic principles typically strives to optimize some performance-related code ...
Lingchen Huang, Huazi Zhang, Rong Li, Yiqun Ge, Jun Wang   +4 more
semanticscholar   +1 more source

Near-Optimal Performance of Quantum Error Correction Codes. [PDF]

Physical Review Letters
The Knill-Laflamme conditions distinguish exact quantum error correction codes, and they have played a critical role in the discovery of state-of-the-art codes. However, the family of exact codes is a very restrictive one and does not necessarily contain
Guo Zheng, Wenhao He, Gideon Lee, Liang Jiang   +3 more
semanticscholar   +1 more source

Optimizing Quantum Error Correction Codes with Reinforcement Learning [PDF]

Quantum, 2018
Quantum error correction is widely thought to be the key to fault-tolerant quantum computation. However, determining the most suited encoding for unknown error channels or specific laboratory setups is highly challenging. Here, we present a reinforcement
Hendrik Poulsen Nautrup, Nicolas Delfosse, V. Dunjko, H. Briegel, N. Friis   +4 more
semanticscholar   +1 more source

Quantum Computing with Rotation-Symmetric Bosonic Codes

Physical Review X, 2020
Bosonic rotation codes, introduced here, are a broad class of bosonic error-correcting codes based on phase-space rotation symmetry. We present a universal quantum computing scheme applicable to a subset of this class—number-phase codes—which includes ...
Arne L. Grimsmo, Joshua Combes, Ben Q. Baragiola   +2 more
doaj   +1 more source

Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes

New Journal of Physics, 2022
In this work, we develop the theory of quasi-exact fault-tolerant quantum (QEQ) computation, which uses qubits encoded into quasi-exact quantum error-correction codes (‘quasi codes’).
Dong-Sheng Wang, Yun-Jiang Wang, Ningping Cao, Bei Zeng, Raymond Laflamme   +4 more
doaj   +1 more source

New Parameters of Linear Codes Expressing Security Performance of Universal Secure Network Coding [PDF]

, 2012
The universal secure network coding presented by Silva et al. realizes secure and reliable transmission of a secret message over any underlying network code, by using maximum rank distance codes.
Kurihara, Jun, Matsumoto, Ryutaroh, Uyematsu, Tomohiko   +2 more
core   +1 more source

Entanglement-assisted quantum low-density parity-check codes [PDF]

, 2010
This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory.
C. J. Colbourn, C. J. Colbourn, D. J. C. MacKay, D. J. C. MacKay, D. Poulin, David Clark, E. F. Assmus, I. Devetak, M. Hagiwara, M. Hall, Maarten De Boeck, N. Hamada, N. Hamada, P. Dembowski, Peter Vandendriessche, R. G. Gallager, R. Graham, S. A. Aly, S. J. Johnson, S. J. Johnson, T. Beth, T. Camara, T. P. Kirkman, V. D. Tonchev, Vladimir D. Tonchev, Yuichiro Fujiwara   +25 more
core   +4 more sources

Single-Shot Error Correction of Three-Dimensional Homological Product Codes [PDF]

PRX Quantum, 2020
Single-shot error correction corrects data noise using only a single round of noisy measurements on the data qubits, removing the need for intensive measurement repetition.
A. O. Quintavalle, M. Vasmer, Joschka Roffe, E. Campbell   +3 more
semanticscholar   +1 more source

Quantum error correction under numerically exact open-quantum-system dynamics

Physical Review Research, 2023
The known quantum error-correcting codes are typically built on approximative open-quantum-system models such as Born-Markov master equations. However, it is an open question how such codes perform in actual physical systems that, to some extent ...
Aravind P. Babu, Tuure Orell, Vasilii Vadimov, Wallace Teixeira, Mikko Möttönen, Matti Silveri   +5 more
doaj   +1 more source

Simple quantum error-correcting codes [PDF]

Physical Review A, 1996
Methods of finding good quantum error correcting codes are discussed, and many example codes are presented. The recipe C_2^{\perp} \subseteq C_1, where C_1 and C_2 are classical codes, is used to obtain codes for up to 16 information qubits with correction of small numbers of errors. The results are tabulated.
openaire   +3 more sources