READ ME File For 'Research Data: Near-Hashing-Bound Multiple-Rate Quantum Turbo Short-Block Codes' Dataset DOI: 10.5258/SOTON/D0883 ReadMe Author: Daryus Chandra, University of Southampton [OPTIONAL add ORCID ID] This dataset supports the publication: Chandra, D., Babar, Z., Ng, S., & Hanzo, L. (Accepted/In press). Near-Hashing-Bound Multiple-Rate Quantum Turbo Short-Block Codes. IEEE Access. Abstract: Quantum stabilizer codes (QSCs) suffer from a low quantum coding rate, since they have to recover the quantum bits (qubits) in the face of both bit-flip and phase-flip errors. In this treatise, we conceive a low-complexity concatenated quantum turbo code (QTC) design exhibiting a high quantum coding rate. The high quantum coding rate is achieved by combining the quantum-domain version of short-block codes (SBCs) also known as single parity check (SPC) codes as the outer codes and quantum unity-rate codes (QURCs) as the inner codes. Despite its design simplicity, the proposed QTC yields a near-hashing-bound error correction performance. For instance, compared to the best half-rate QTC known in the literature, namely the QIrCC-QURC scheme, which operates at the distance of $D = 0.037$ from the quantum hashing bound, our novel QSBC-QURC scheme can operate at the distance of $D = 0.029$. It is worth also mentioning that this is the first instantiation of QTCs capable of adjusting the quantum encoders according to the quantum coding rate required for mitigating the Pauli errors given the different depolarizing probabilities of the quantum channel. This dataset contains: * Figure 7: The exit_qsbc.mat is used for plotting the EXIT curves of the inner and the outer codes given various quantum coding rate of the outer codes and various depolarizing probability for the inner codes. * Figure 8: The exit_qsbc.mat is used for plotting the decoding trajectory of half-rate QSBC-QURC scheme. * Figure 9, 10, 11: The qber_qsbc.mat is used for plotting the QBER performance of QSBC-QURCs exhiting various quantum coding rates and logical qubits and also used for plotting the QIrCC-QURC scheme as the benchmarker. Information about geographic location of data collection: University of Southampton, U.K. Licence: CC BY Acknowledgements: The financial support of the EPSRC under the grant EP/L018659/1 and the COALESCE project, that of the European Research Council, Advanced Fellow Grant QuantCom and that of the Royal Society’s Global Research Challenges Fund (GRCF) is gratefully acknowledged. Additionally, the authors acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. Date that the file was created: April 2019