Dina Abdelhadi

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Identifying optimal quantum communication rates remains a central challenge in quantum information theory, while developing practical coding schemes is crucial for making these rates relevant to real-world quantum technologies. In this talk, I will present recent progress in both assisted and unassisted quantum communication, highlighting advances in asymptotic rates as well as practical code constructions.

In the two-way classically assisted setting, particularly relevant for modular quantum computing and entanglement sharing, progress has long been limited by weak lower and upper bounds on achievable rates. I will show how adopting a channel reshaping perspective on two-way protocols leads to new constructions that achieve state-of-the-art rates for the amplitude damping and depolarizing channels, breaking through decades of stagnation in known lower bounds.

In the unassisted setting, relevant for quantum memories and quantum circuits, I will discuss how recent breakthroughs on Reed-Muller (RM) codes in classical coding theory extend to the quantum regime, enabling quantum RM codes to achieve the coherent information. I will then turn to practical aspects of quantum RM and Polar codes, focusing on finite-size performance and decoding efficiency. To this end, I introduce a new family of codes interpolating between RM and Polar constructions. When paired with successive-cancellation list decoding, these codes outperform previous quantum Polar codes while offering a tunable trade-off between decoding complexity and error-correction performance.
This talk is based on https://arxiv.org/abs/2410.22295 & https://arxiv.org/abs/2505.22142 .

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École Polytechnique Fédérale de Lausanne
0.03
Contact: Andreas Winter