Concatenated Quantum Codes Constructible in Polynomial Time: Efficient Decoding and Error Correction [PDF]
IEEE Transactions on Information Theory, 2008 A method for concatenating quantum error-correcting codes is presented. The method is applicable to a wide class of quantum error-correcting codes known as Calderbank-Shor-Steane (CSS) codes.
Hamada, Mitsuru
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A Concatenated Error-Correction System Using the Code Construction [PDF]
, 2017 Concatenation of good codes is a classic method of constructing longer codes which are good codes. As codes are increased in length it becomes progressively harder to realise a near maximum likelihood decoder. This chapter presents a novel concatenated code arrangement featuring multiple, near maximum likelihood, decoders designed for an optimised ...
Martin Tomlinson +4 more
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Study on Error Correction Capability of Simple Concatenated Polar Codes
International Journal on Advanced Science, Engineering and Information Technology, 2020 Polar codes ware mathematically proven to achieve the Shannon limit, where the error probability is reduced with the help of frozen bits. Since the frozen bits are detrimental in terms of transmission efficiency, this paper investigates the importance of the frozen bits and the possibility of being replaced by other protected bits via a concatenation ...
Robin Sinurat +3 more
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Error Correction for Physical Unclonable Functions Using Generalized\n Concatenated Codes [PDF]
, 2014 Physical Unclonable Functions can be used for secure key generation in cryptographic applications. It is explained how methods from coding theory must be applied in order to ensure reliable key regeneration. Based on previous work, we show ways how to obtain better results with respect to error probability and codeword length. Also, an example based on
Sven Müelich +4 more
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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
Experimental Implementation of a Concatenated Quantum Error-Correcting Code [PDF]
Physical Review Letters, 2005 4 pages, 2 encapsulated eps figures.
Boulant, Nicolas +3 more
openaire +5 more sources
Code-Based Cryptography With Generalized Concatenated Codes for Restricted Error Values
IEEE Open Journal of the Communications Society, 2022 Code-based cryptosystems are promising candidates for post-quantum cryptography. Recently, generalized concatenated codes over Gaussian and Eisenstein integers were proposed for those systems. For a channel model with errors of restricted weight, those q-
Johann-Philipp Thiers +1 more
doaj +3 more sources
RC-LDPC-Polar Codes for Information Reconciliation in Continuous-Variable Quantum Key Distribution [PDF]
EntropyContinuous-variable quantum key distribution faces significant challenges, including quantum channel instability, particularly fluctuations in the signal-to-noise ratio (SNR) and extremely low SNR scenarios.
Fei Hua +5 more
doaj +2 more sources
Concatenation of Error Avoiding with Error Correcting Quantum Codes for Correlated Noise Models
International Journal of Quantum Information, 2010 We study the performance of simple error correcting and error avoiding quantum codes together with their concatenation for correlated noise models. Specifically, we consider two error models: i) a bit-flip (phase-flip) noisy Markovian memory channel ...
Cafaro, Carlo, Mancini, Stefano
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Building a Fault-Tolerant Quantum Computer Using Concatenated Cat Codes
PRX Quantum, 2022 We present a comprehensive architectural analysis for a proposed fault-tolerant quantum computer based on cat codes concatenated with outer quantum error-correcting codes.
Christopher Chamberland +15 more
doaj +2 more sources