Tutorial on Quantum Error Correction for 2024 Quantum Information Knowledge (QuIK) Workshop

PJ Nadkarni, N Rengaswamy, B Vasić - arXiv preprint arXiv:2407.12737, 2024 - arxiv.org
We provide a brief review of the fundamentals of quantum computation and quantum error
correction for the participants of the first Quantum Information Knowledge (QuIK) workshop …

Theory behind quantum error correcting codes: An overview

SS Garani, PJ Nadkarni, A Raina - Journal of the Indian Institute of …, 2023 - Springer
Quantum information processing is now a well-evolved field of study with roots to quantum
physics that has significantly evolved from pioneering works over almost more than a …

Entanglement-assisted quantum Reed-Muller tensor product codes

PJ Nadkarni, P Jayakumar, A Behera, SS Garani - Quantum, 2024 - quantum-journal.org
We present the construction of standard entanglement-assisted (EA) qubit Reed-Muller (RM)
codes and their tensor product variants from classical RM codes. We show that the EA RM …

Non-Binary Hypergraph Product Codes for Qudit Error Correction

SK Borah, AK Pradhan, N Raveendran… - 2024 IEEE …, 2024 - ieeexplore.ieee.org
Quantum low-density parity-check (QLDPC) codes are an important class of quantum error-
correcting codes that have low-weight stabilizer generators and typically offer encoding …

Stabilizer codes with exotic local-dimensions

LG Gunderman - Quantum, 2024 - quantum-journal.org
Traditional stabilizer codes operate over prime power local-dimensions. In this work we
extend the stabilizer formalism using the local-dimension-invariant setting to import stabilizer …