Program Results
國立臺灣大學玉山青年學者鄭皓中教授
Introduction to the event
In quantum information science, transmitting classical information over a noisy quantum channel is a foundational task. To protect the transmitted messages against potential quantum noise, I have developed a simple, effective, and physically-implementable coding strategy based on the so-called pretty-good measurement. The approach sharpens and streamlines the previously known achievable error bounds. Moreover, the proposed technique does not rely on structural hypotheses of the underlying quantum channel, such as independent and identical noises, and hence it applies to general non-correlated or non-stationary quantum channels. The derived one-shot capacities for unassisted and entanglement-assisted classical communication over quantum channels are both the tightest heretofore. One-shot error bounds for various quantum network information-processing protocols are also covered in a unified manner. The established error bounds are tighter than previously known, and the derivation is simpler, technically innovative, and more conceptually intuitive. The strength, simplicity, and variability of the derived error characterizations make the proposed coding and analysis likely a textbook approach when studying classical communication in one-shot and asymptotical quantum information theory. The established decoding technique to is expected to yield further applications in other fields of quantum information and technology.
The single-authored work was accepted and presented at the most premier quantum information science conference–26th Conference on Quantum Information Processing (QIP, February 4-10, 2023, Ghent, Belgium)–as the short plenary talk, and later published in the prestigious journal PRX Quantum.