Reading Group

Provable & Practical Quantum Advantage

Quantum computers are advancing rapidly in scale, fidelity, coherence, and control. However, demonstrating a convincing and ideally provable quantum advantage requires much more than building a larger device. It requires proposing well-defined and meaningful computational tasks, establishing rigorous separations from the best classical methods, and understanding whether those theoretical advantages survive the noise, resource constraints, and architectural limitations of realistic quantum hardware.

This reading group studies four complementary directions: quantum factoring algorithms, quantum chemistry, quantum streaming algorithms, and decoded quantum interferometry.

Participants: Minbo Gao, Zhenyu Jiang, Haoyu Wang, and Guangxu Yang.

Current Reading List

Quantum Factoring Algorithms

An Efficient Quantum Factoring Algorithm

Oded Regev · Journal of the ACM 72, Article 10 (2025)

Parallel Spooky Pebbling Makes Regev Factoring More Practical

Gregory D. Kahanamoku-Meyer, Seyoon Ragavan, and Katherine Van Kirk · EUROCRYPT 2026

How to factor 2048 bit RSA integers with less than a million noisy qubits

Craig Gidney · arXiv (2025)

The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes

Paul Webster et al. · arXiv (2026)

Quantum Algorithms for Optimization Problems

Exponential Quantum Space Advantage for Approximating Maximum Directed Cut in the Streaming Model

John Kallaugher, Ojas Parekh, and Nadezhda Voronova · STOC 2024

Exponential Quantum Space Advantage for Approximating Max-kSAT in the Streaming Setting

Haoyu Wang, Guangxu Yang

Realization of a Quantum Streaming Algorithm on Long-lived Trapped-ion Qubits

Pradeep Niroula et al. · arXiv (2025)

Optimization by Decoded Quantum Interferometry

Stephen P. Jordan et al. · Nature (2025)

To join the reading group or suggest a paper, contact Guangxu Yang .