Executive Summary : | Quantum computing, communication, and storage systems are highly unreliable due to quantum decoherence. To address this, it is crucial to design efficient quantum error correcting codes, which are useful for the noisy-intermediate—scale-quantum regime (NISQ) and beyond. The group at IISc has been actively working on quantum ECCs and quantum coded networks within the quantum information sciences area. They have developed efficient encoding and syndrome computing architectures for applications in quantum communications, and have perfected the art of constructing 2-D error correction codes, both algebraic (2-D BCH codes) and iterative (2-D LDPC codes) with near-capacity achieving performance along with efficient hardware architectures. The group is interested in building upon their knowledge and tools in the multidimensional space by developing multidimensional quantum codes that are provably efficient in performance, along with efficient circuit architectures relevant to NISQ and beyond NISQ quantum computing and communications. Their proposed proposal aims to explore 2-D quantum LDPC codes and codes over curves useful for futuristic 2-D/3-D quantum technologies, investigate new algorithms and architectures for efficient decoding of 1-D quantum convolution codes, and extend their constructions towards a general theory and efficient design of quantum coded networks resilient to t-node failures. |