4 papers · 1 filter
A blindness property of the Min-Sum decoding for the toric code
Julien du Crest, Mehdi Mhalla, Valentin Savin
Kitaev's toric code is one of the most prominent models for fault-tolerant quantum computation, currently regarded as the leading solution for connectivity constrained quantum tech…
Factory-based Fault-tolerant Preparation of Quantum Polar Codes Encoding One logical Qubit
Ashutosh Goswami, Mehdi Mhalla, Valentin Savin
A fault-tolerant way to prepare logical code-states of Q1 codes, i.e., quantum polar codes encoding one qubit, has been recently proposed. The fault tolerance therein is guaranteed…
Vertex-minor universal graphs for generating entangled quantum subsystems
Maxime Cautrès, Nathan Claudet, Mehdi Mhalla +3
We study the notion of -stabilizer universal quantum state, that is, an -qubit quantum state, such that it is possible to induce any stabilizer state on any qubits, by us…
Check-Agnosia based Post-Processor for Message-Passing Decoding of Quantum LDPC Codes
Julien du Crest, Francisco Garcia-Herrero, Mehdi Mhalla +2
The inherent degeneracy of quantum low-density parity-check codes poses a challenge to their decoding, as it significantly degrades the error-correction performance of classical me…