5 citations · 6 across the 12 of their papers we have counts for
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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…
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…
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…