5 papers
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…
Two-dimensional Entanglement-assisted Quantum Quasi-cyclic Low-density Parity-check Codes
Pavan Kumar, Shayan Srinivasa Garani
For any positive integer , we derive general condition for the existence of a -cycle in the Tanner graph of two-dimensional (-D) classical quasi-cyclic (QC) low-den…
On the Structure of Two-Dimensional Constacyclic Codes using Common Zero Sets
Vidya Sagar, Shikha Patel, Ashutosh Singh +1
We consider two-dimensional -constacyclic codes over of area , where is some power of prime with and . With t…
Entanglement-assisted Quasi-cyclic Quantum Low-density Parity-check Codes over Qubits
Pavan Kumar, Abhi Kumar Sharma, Karthik Bharadwaj +1
We construct several families of entanglement-assisted quasi-cyclic quantum LDPC (EA-QC-QLDPC) codes via structured tilings of permutation matrices. The entanglement-unassisted por…
Decoding Algorithms for Two-dimensional Constacyclic Codes over
Vidya Sagar, Shikha Patel, Shayan Srinivasa Garani
We derive the spectral domain properties of two-dimensional (2-D) -constacyclic codes over using the 2-D finite field Fourier transform (FFFT). Based o…