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 explores the gap between theoretical proposals for quantum advantage and what can actually be implemented and validated on near-term and emerging quantum devices. We study both the foundations of provable quantum advantage and its experimental realization, with particular interest in communication, streaming, optimization, and distributed computation

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

Current Reading List

Theory

Separations, algorithms, and classical limitations.

Optimization by Decoded Quantum Interferometry

Stephen P. Jordan et al. · Nature 646 (2025)

Approximate Sampling from Decoded Quantum Interferometry via Markov Chain Monte Carlo Methods

Elies Gil-Fuster et al. · arXiv (2026)

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

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

Distributed Quantum Advantage for Local Problems

Alkida Balliu et al. · STOC 2025

Quantum Advantage in Tolerant Junta Testing

Avishay Tal, Weiqiang Yuan CCC 2026

Experiments & Implementations

Hardware demonstrations and scientific applications.

Demonstrating an Unconditional Separation between Quantum and Classical Information Resources

William Kretschmer et al. · arXiv (2025)

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

Pradeep Niroula et al. · arXiv (2025)

Reconfigurable Optical Platform for One-way Quantum Communication Complexity

Francesco Mazzoncini, Hugo Defienne, Romain Alléaume, and Sylvain Gigan · arXiv (2026)

Resolving Structure in Prethermal Floquet Dynamics with Precision Quantum Computation

Eyal Leviatan et al. · arXiv (2026)

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