5 papers · 1 filter
Optimizing Encoder Circuits of Entanglement-Assisted Quantum LDPC Codes via Beam Search
Aditya Sodhani, Pavan Kumar, Shayan Srinivasa Garani +1
Entanglement-assisted (EA) quantum QC-LDPC codes offer strong error-correction capabilities with structured parity-check matrices, but their practical use depends on efficient enco…
Quantum Constacyclic BCH Codes over Qudits: A Spectral-Domain Approach
Shikha Patel, Shayan Srinivasa Garani
We characterize constacyclic codes in the spectral domain using the finite field Fourier transform (FFFT) and propose a reduced complexity method for the spectral-domain decoder. F…
Efficient recursive encoders for quantum Reed-Muller codes towards Fault tolerance
Praveen Jayakumar, Priya J. Nadkarni, Shayan Srinivasa Garani
Transversal gates are logical gate operations on encoded quantum information that are efficient in gate count and depth, and are designed to minimize error propagation. Efficient e…
Fault-Tolerant Quantum LDPC Encoders
Abhi Kumar Sharma, Shayan Srinivasa Garani
We propose fault-tolerant encoders for quantum low-density parity check (LDPC) codes. By grouping qubits within a quantum code over contiguous blocks and applying preshared entangl…
Entanglement-assisted Quantum Reed-Muller Tensor Product Codes
Priya J. Nadkarni, Praveen Jayakumar, Arpit Behera +1
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 co…