Dataset for the paper "Serially Concatenated Unity-Rate Codes Improve Quantum Codes Without Coding-Rate Reduction", Zunaira Babar, Hung Viet Nguyen, Panagiotis Botsinis, Dimitrios Alanis, Daryus Chandra, Soon Xin Ng and Lajos Hanzo, IEEE Communications Letters (Accepted). Results may reproduced using the Graphics Layout Engine (GLE).



Abstract: Inspired by the astounding performance of the unity rate code (URC) aided classical coding and detection schemes, we conceive a quantum URC (QURC) for assisting the design of concatenated quantum codes. Unfortunately, a QURC cannot be simultaneously recursive as well as non-catastrophic. However,
we demonstrate that, despite being non-recursive, our proposed QURC yields efficient concatenated codes, which exhibit a low error rate and a beneficial interleaver gain, provided that the coding scheme is carefully designed with the aid of EXtrinsic Information Transfer (EXIT) charts.



Acknowledgements: The financial support of the European Research Council under the Advanced Fellow Grant, that of the Royal Society’s Wolfson Research Merit Award and that of the Engineering and Physical Sciences Research Council under Grant EP/L018659/1 is gratefully acknowledged. The use of the IRIDIS High Performance Computing Facility at the University of Southampton is also acknowledged.



* Figure 2: in-QURC-1b.gle plots the inner EXIT curves of randomly constructed non-catastrophic and non-recursive QURCs at p = 0.07 using the associated data files.


* Figure 3: EXIT-QURC-1b.gle plots the inner and outer EXIT curves for the designed QURC-QIRCC schemes using the associated data files.



* Figure 4a: WER-QBER-URC1-QIRCC1-1b.gle plots the achievable WER and QBER performance of the 1/2-rate QURC-QIRCC scheme, when the 10-subcode QIRCC is invoked and a maximum of 20 decoding iterations are used.



* Figure 4b: WER-QBER-URC1-QIRCC3-1b.gle plots the achievable WER and QBER performance of the 1/2-rate QURC-QIRCC scheme, when the 5-subcode QIRCC is invoked and a maximum of 20 decoding iterations are used.