Concatenating Decoherence-Free Subspaces with Quantum Error Correcting Codes [PDF]
Physical Review Letters, 1999 An operator sum representation is derived for a decoherence-free subspace (DFS) and used to (i) show that DFSs are the class of quantum error correcting codes (QECCs) with fixed, unitary recovery operators, and (ii) find explicit representations for the Kraus operators of collective decoherence.
Lidar, D. A., Bacon, D., Whaley, K. B.
openaire +2 more sources
Concatenated Coding for GNSS Signals in Urban Environments
Applied Sciences, 2020 This work investigated concatenated coding schemes for Global Navigation Satellite System (GNSS) signals in order to increase their error correction capability in urban environments.
Jing Ke +4 more
doaj +1 more source
Improved quantum error correction with randomized compiling [PDF]
Physical Review Research, 2023 Current hardware for quantum computing suffers from high levels of noise, and so to achieve practical fault-tolerant quantum computing will require powerful and efficient methods to correct for errors in quantum circuits.
Aditya Jain +3 more
semanticscholar +1 more source
An Improved Marker Code Scheme Based on Nucleotide Bases for DNA Data Storage
Applied Sciences, 2023 Due to the rapid growth in the global volume of data, deoxyribonucleic acid (DNA) data storage has emerged. Error correction in DNA data storage is a key part of this storage technology.
Jian Tong, Guojun Han, Yi Sun
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CRC Codes as Error Correction Codes [PDF]
ICC 2021 - IEEE International Conference on Communications, 2021 CRC codes have long since been adopted in a vast range of applications. The established notion that they are suitable primarily for error detection can be set aside through use of the recently proposed Guessing Random Additive Noise Decoding (GRAND ...
Wei An, Muriel M'edard, K. Duffy
semanticscholar +1 more source
A novel method for encoding and decoding based on enhanced parity-check-concatenated polar codes
Dianxin kexue, 2021 Polar codes have perfect coding and decoding performance as a kind of error correction code, which have become a standard coding scheme for 5G short code control channel. While the length of polar codes is short, its performance is not good enough.
Yan WANG +3 more
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Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes
npj Quantum Information, 2021 We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information.
Filip Rozpędek +4 more
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Reverse Concatenated Coded Modulation for High-Speed Optical Communication
IEEE Photonics Journal, 2010 We propose the reverse concatenated code as a forward error correction (FEC) scheme suitable for beyond 100-Gb/s optical transmission. In this scheme, BCH code is used as inner code and low-density parity-check (LDPC) code as outer code.
Ivan B. Djordjevic, Lei Xu, Ting Wang
doaj +1 more source
Fixed-latency System for High-speed Serial Transmission Between FPGA Devices with Forward Error Correction [PDF]
International Journal of Electronics and Telecommunications, 2020 This paper presents the design of a compact protocol for fixed-latency, high-speed, reliable, serial transmission between simple field-programmable gate arrays (FPGA) devices.
Michał Kruszewski +1 more
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Quantum error correction with higher Gottesman-Kitaev-Preskill codes: Minimal measurements and linear optics [PDF]
Physical Review A, 2021 We propose two schemes to obtain Gottesman-Kitaev-Preskill (GKP) error syndromes by means of linear optical operations, homodyne measurements and GKP ancillae.
Frank Schmidt, P. Loock
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