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Quantum Approximate Optimization for Decoding of Low-Density Parity-Check Codes
Krishnakanta Barik, Goutam Paul
Decoding Low-Density Parity-Check (LDPC) codes is a fundamental problem in coding theory, and Belief Propagation (BP) is one of the most popular methods for LDPC code decoding. How…
Faster Optimal Decoder for Graph Codes with a Single Logical Qubit
Nirupam Basak, Goutam Paul
In this work, we develop an efficient decoding method for graph codes, a class of stabilizer quantum error-correcting codes constructed from graph states. While optimal decoding is…
Hierarchical quantum decoders
Nirupam Basak, Ankith Mohan, Andrew Tanggara +3
Decoders are a critical component of fault-tolerant quantum computing. They must identify errors based on syndrome measurements to correct quantum states. While finding the optimal…
Noise-Resilient Quantum Evolution in Open Systems through Error-Correcting Frameworks
Nirupam Basak, Goutam Paul, Pritam Chattopadhyay
We analyze quantum state preservation in open quantum systems using quantum error-correcting (QEC) codes explicitly embedded in microscopic system-bath models. Rather than assuming…