5 citations · 6 across the 12 of their papers we have counts for
13 papers
Coset Lifted Product Codes: Constructing Quantum LDPC Codes from Non-Normal Subgroup Actions
Rajendra Prasad Rajpurohit, V. Lalitha, Shayan Srinivasa Garani
We introduce coset lifted product (CLP) codes, a family of quantum LDPC codes that combine the protograph structure of lifted product codes with the coset action of Aydin, Tamo, an…
Optimal Pure Quantum -LRCs from Euclidean and Hermitian Dual-Containing Cyclic Codes
Astha Agrawal, Shayan Srinivasa Garani
Locally recoverable codes (LRCs) combine global error correction with the ability to repair a small number of erased coordinates by accessing only a limited number of other coordin…
Non-Binary Quasi-Cyclic LDPC Codes with Entanglement Assistance
Pavan Kumar, Shayan Srinivasa Garani
We construct two families of non-binary entanglement assisted (EA) quasi-cyclic (QC) quantum low-density parity-check (QLDPC) codes over arbitrary finite fields, each possessing a…
Optimizing Encoder Circuits of Entanglement-Assisted Quantum LDPC Codes via Beam Search
Aditya Sodhani, Pavan Kumar, Shayan Srinivasa Garani +1
In encoder circuits built on the stabilizer formalism, the dominant contribution to circuit complexity comes from the use of controlled (CNOT) gates, making CNOT-count reduction a…
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…
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 on…
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…
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 the…
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…
Quantum Network Recovery from Multinode Failure using Network Encoding with GHZ-States on Higher-Order Butterfly Networks
Mrittunjoy Guha Majumdar, Shayan Srinivasa Garani
We propose a protocol to transmit three quantum states crossly in a butterfly network with prior entanglement, in the form of GHZ states, between three senders. The proposed protoc…