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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…
Resource Reduction in Multiparty Quantum Secret Sharing of both Classical and Quantum Information under Noisy Scenario
Nirupam Basak, Goutam Paul
Quantum secret sharing (QSS) enables secure distribution of information among multiple parties but remains vulnerable to noise. We analyze the effects of bit-flip, phase-flip, and…
Approximate Dynamical Quantum Error-Correcting Codes
Nirupam Basak, Andrew Tanggara, Ankith Mohan +2
Quantum error correction plays a critical role in enabling fault-tolerant quantum computing by protecting fragile quantum information from noise. While general-purpose quantum erro…