Browsing by Author "1821654042"

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    RESCUED: Robust Quantum Error Correction With Surface Code In Noisy Channels Using Ensemble Decoder
    (North South University, 2023) Saikat Barua; Monika Rahman; Apurba Jalal Uchash; Dr. Mahdy Rahman Chowdhury; 1731052042; 1821654042; 1620457042
    Quantum error correction is essential for protecting quantum information from errors due to decoherence and other forms of noise. However, decoding quantum error-correcting codes optimally is a computationally hard problem. In our study, we present an ensemble decoder that combines the strengths of different decoders to achieve lower logical error rates and the ability to decode multiple errors. We have used statistical techniques to assign a given error syndrome to the decoder that is most likely to decode it correctly. Different Variants of the Noise model were applied to accurately simulates the effects of noise on transmitted quantum states. The performance of the ensemble decoder was compared to that of conventional decoders, such as minimum-weight perfect matching (MWPM) and union-find (UF) decoders, in both the Symmetric and Asymmetric Noise Models. In the Symmetric Noise Model, the probabilities of bit-flip and phase-flip errors are assumed to be equal, while in the Asymmetric Noise Model, these probabilities can differ. The comparison also included erasure errors, where the original information state of a qubit is erased or lost. The objective of the comparison was to assess the proficiency of the ensemble decoder in rectifying these types of errors relative to traditional decoding techniques. Our findings suggest that the ensemble decoder outperforms the conventional decoders in this noise model, especially for higher code distances. Further, Threshold Simulations were conducted to investigate the influence of lattice size and noise asymmetry on the logical error rate and threshold values of the ensemble decoder. It is evident that increasing the lattice size reduces the logical error rate and that the threshold and pseudo-threshold values increase with step-wise changes in noise asymmetry. The findings of the study highlight the significant potential of the ensemble decoder in the fields of quantum error correction and communication.