# Polarization of Quantum Channels Using Clifford-Based Channel Combining

@article{Dupuis2019PolarizationOQ, title={Polarization of Quantum Channels Using Clifford-Based Channel Combining}, author={Fr{\'e}d{\'e}ric Dupuis and Ashutosh Goswami and Mehdi Mhalla and Valentin Savin}, journal={IEEE Transactions on Information Theory}, year={2019}, volume={67}, pages={2857-2877} }

We provide a purely quantum version of polar codes, achieving the symmetric coherent information of any qubit-input quantum channel. Our scheme relies on a recursive channel combining and splitting construction, where a two-qubit gate randomly chosen from the Clifford group is used to combine two single-qubit channels. The inputs to the synthesized bad channels are frozen by preshared EPR pairs between the sender and the receiver, so our scheme is entanglement assisted. We further show that…

## 3 Citations

### Multilevel polarization for quantum Channels

- PhysicsQuantum Inf. Comput.
- 2021

This work considers the quantum polar code construction using the same channel combining and splitting procedure as in [3] but with a fixed two-qubit Clifford unitary and gives an upper bound on the number of preshared EPR pairs, which is an equality in the case of quantum erasure channel.

### Quantum Polarization of Qudit Channels

- Computer Science2021 IEEE International Symposium on Information Theory (ISIT)
- 2021

A generalization of quantum polar codes to quantum channels with qudit-input, achieving the symmetric coherent information of the channel and showing how to decode the proposed quantum polar code on Pauli qudit channels.

### Fault-Tolerant Preparation of Quantum Polar Codes Encoding One Logical Qubit

- Computer Science
- 2022

This paper explores a new approach to fault-tolerant quantum computing, relying on quantum polar codes of Calderbank-Shor-Steane type, encoding one logical qubit, and shows that a subfamily of Q1 codes is equivalent to the well-known family of Shor codes.

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