Results 11 to 20 of about 54,560 (207)
Concatenated Polar Codes [PDF]
2010 IEEE International Symposium on Information Theory, 2010 Polar codes have attracted much recent attention as the first codes with low computational complexity that provably achieve optimal rate-regions for a large class of information-theoretic problems.
Bakshi, Mayank +2 more
core +6 more sources
Concatenated Quantum Codes [PDF]
, 1996 One of the main problems for the future of practical quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the applied operations.
Knill, Emanuel, Laflamme, Raymond
core +8 more sources
Entanglement-assisted concatenated quantum codes [PDF]
Proceedings of the National Academy of Sciences, 2022 Entanglement-assisted concatenated quantum codes (EACQCs), constructed by concatenating two quantum codes, are proposed. These EACQCs show significant advantages over standard concatenated quantum codes (CQCs). First, we prove that, unlike standard CQCs, EACQCs can beat the nondegenerate Hamming bound for entanglement-assisted quantum error-correction ...
Jihao Fan +4 more
openalex +5 more sources
Avoiding coherent errors with rotated concatenated stabilizer codes [PDF]
npj Quantum Information, 2021 Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors.
Yingkai Ouyang
doaj +2 more sources
Serially Concatenated Polar Codes
IEEE Access, 2018 Simulation results show that the performance of polar codes is improved vastly by using polar codes as inner codes in serially concatenated coding schemes.
Erdal Arikan
doaj +3 more sources
Concatenated Constrained Coding: A New Approach to Efficient Constant-Weight Codes [PDF]
EntropyThe design of low-complexity and efficient constrained codes has been a major research item for many years. This paper reports on a versatile method named concatenated constrained codes for designing efficient fixed-length constrained codes with small ...
Kees Schouhamer Immink +3 more
doaj +2 more sources
Graph Concatenation for Quantum Codes [PDF]
Journal of Mathematical Physics, 2010 Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code, and every codeword stabilized code can be described by a graph and a classical code.
Bei Zeng +7 more
core +6 more sources
Concatenated Codes for Amplitude Damping [PDF]
2016 IEEE International Symposium on Information Theory (ISIT), 2016 We discuss a method to construct quantum codes correcting amplitude damping errors via code concatenation. The inner codes are chosen as asymmetric Calderbank-Shor-Steane (CSS) codes.
Grassl, Markus +2 more
core +3 more sources
Universal Fault-Tolerant Gates on Concatenated Stabilizer Codes [PDF]
Physical Review X, 2016 It is an oft-cited fact that no quantum code can support a set of fault-tolerant logical gates that is both universal and transversal. This no-go theorem is generally responsible for the interest in alternative universality constructions including magic ...
Theodore J. Yoder +2 more
doaj +4 more sources
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure
IEEE Access, 2015 Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a
Zunaira Babar +4 more
doaj +3 more sources