Ashutosh Goswami - Purely Quantum Polar Codes

Organized by: 
Mehdi Mhalla
Ashutosh Goswami - CAPP


Pour ceux qui ne seront pas encore en vacances, un petit séminaire pour découvrir des travaux récents qui se font au LIG  en info quantique.

Wednesday July 10 at 14:00 
Room 482
LIG Bâtiment IMAG

Ashutosh Goswami, en these a CAPP dans le cadre de l’Idex QuEnG va faire une presentation sur les codes polaires quantiques.

We provide a purely quantum version of polar codes, achieving the coherent information of any quantum channel. Our scheme relies on a recursive channel combining and splitting construction, where random two-qubit Clifford gates are used to combine two single-qubit channels. The inputs to the synthesized bad channels are frozen by sharing EPR pairs between the sender and the receiver, so our scheme is entanglement assisted. We further show that a Pauli channel polarizes if and only if a specific classical channel over four symbol input set polarizes. We exploit this equivalence to prove fast polarization for Pauli channels, and to devise an efficient successive cancellation based decoding algorithm for such channels.

Joint work with Frederic Dupuis, Mehdi Mhalla and Valentin Savin that will be presented at the conference  ITW2019