Quantum communication improves error rates with new decoding method
Quantum communication: a discrimination approach
Information Theory
Summary
Quantum communication faces challenges because messages can get scrambled by noise in the channel they travel through. The authors develop a new way to send quantum information that focuses on telling apart quantum states to improve accuracy. They design codes and decoding methods that help reduce errors effectively, even when many messages are sent. This approach uses mathematical tools called Petz recovery maps to help recover the intended message from noisy signals.
What this means in practice
- •For quantum network engineers: Improve quantum data transmission accuracy over noisy channels using new explicit decoding methods.
- •For quantum hardware developers: Design quantum communication devices that incorporate efficient error reduction codes for entanglement-based protocols.
Authors
Hao-Chung Cheng
Abstract
We develop a state discrimination approach to unassisted quantum communication through a noisy quantum channel. Starting from the operational duality between entanglement recovery and state discrimination, we construct entanglement-generation codes with explicit decoders constructed from Petz recovery maps. The resulting error bounds hold for every number of channel uses and are expressed in terms of Petz-Rényi coherent information. For product sources, they yield exponential error decay at rates below coherent information.