2022
DOI: 10.1109/tqe.2022.3196609
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On the Logical Error Rate of Sparse Quantum Codes

Abstract: The quantum paradigm presents a phenomenon known as degeneracy that can potentially improve the performance of quantum error correcting codes. However, the effects of this mechanism are sometimes ignored when evaluating the performance of sparse quantum codes and the logical error rate is not always correctly reported. In this paper, we discuss previously existing methods to compute the logical error rate and we present an efficient coset-based method inspired by classical coding strategies to estimate degener… Show more

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Cited by 3 publications
(2 citation statements)
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“…The required time to change the polarisation between two ends is zero, for this reason, the time (propagation delay) due to long distance or fibre optic will be zero in this case and disadvantage can be totally avoided in the RoF system. When the quantum is utilised, the delay due to laser source, T laser , and detector, T detector , are included in the total delay of the QE-MAC [22,23], therefore, the delay is expressed as follows:…”
Section: In Whichmentioning
confidence: 99%
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“…The required time to change the polarisation between two ends is zero, for this reason, the time (propagation delay) due to long distance or fibre optic will be zero in this case and disadvantage can be totally avoided in the RoF system. When the quantum is utilised, the delay due to laser source, T laser , and detector, T detector , are included in the total delay of the QE-MAC [22,23], therefore, the delay is expressed as follows:…”
Section: In Whichmentioning
confidence: 99%
“…The required time to change the polarisation between two ends is zero, for this reason, the time (propagation delay) due to long distance or fibre optic will be zero in this case and disadvantage can be totally avoided in the RoF system. When the quantum is utilised, the delay due to laser source, T laser , and detector, T detector , are included in the total delay of the QE‐MAC [22, 23], therefore, the delay is expressed as follows: E[slot]=Pidle0.25emTs+Psuc0.5em()T+Tlaser+Tdetector+(10.25em0.25emPsuc0.25em0.25emPidle)0.25em()Tlaser+Tdetector+Tc+Psuc0.25em2α+(10.25em0.25emPsuc0.25em0.25emPidle)0.25em2α $E[slot]=Pidle\,Ts+Psuc\ \left(T+{T}_{laser}+{T}_{detector}\right)+(1\,-\,Psuc\,-\,Pidle)\,\left({T}_{laser}+{T}_{detector}+Tc\right)+Psuc\,2\alpha +(1\,-\,Psuc\,-\,Pidle)\,2\alpha $ E[slot]=Pidle0.25emTs+Psuc0.5emF()TQ+(10.25em0.25emPsuc0.25em0.25emPidle)0.25emF()TtrueQ+F0.25em()α $E[slot]=Pidle\,Ts+Psuc\ F\left({T}_{Q}\right)+(1\,-\,Psuc\,-\,Pidle)\,F\left({T}_{\overline{Q}}\right)+F\,\left(\overline{\alpha }\right)$ …”
Section: Delay Of Proposed Quantum Entanglement‐based Mac Protocolmentioning
confidence: 99%