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arXiv · 2210.10854

Decoding Polar Codes via Noisy Quantum Gates: Quantum Circuits and Insights

Srikar Kasi·John Kaewell·Shahab Hamidi-Rad·Kyle Jamieson
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Abstract

The use of quantum computation for wireless network applications is emerging as a promising paradigm to bridge the performance gap between in-practice and optimal wireless algorithms. While today's quantum technology offers limited number of qubits and low fidelity gates, application-based quantum solutions help us to understand and improve the performance of such technology even further. This paper introduces QGateD-Polar, a novel Quantum Gate-based Maximum-Likelihood Decoder design for Polar error correction codes, which are becoming widespread in today's 5G and tomorrow's NextG wireless networks. QGateD-Polar uses quantum gates to dictate the time evolution of Polar code decoding -- from the received wireless soft data to the final decoded solution -- by leveraging quantum phenomena such as superposition, entanglement, and interference, making it amenable to quantum gate-based computers. Our early results show that QGateD-Polar achieves the Maximum Likelihood performance in ideal quantum simulations, demonstrating how performance varies with noise.

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Srikar Kasi, John Kaewell, Shahab Hamidi-Rad, Kyle Jamieson. 2022-10-19. Decoding Polar Codes via Noisy Quantum Gates: Quantum Circuits and Insights. https://arxiv.org/abs/2210.10854

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