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quant-ph2026
Scalable Ground-State Certification of Quantum Spin Systems via Structured Noncommutative Polynomial Optimization
Jie Wang, David Jansen, Irénée Frerot +5
A fundamental challenge in quantum physics is determining the ground-state properties of many-body systems. Whereas standard variational approaches posit a wave-function ansatz and…
quant-ph2025
Certified bounds on optimization problems in quantum theory
Younes Naceur, Jie Wang, Victor Magron +1
Semidefinite relaxations of polynomial optimization have become a central tool for addressing the non-convex optimization problems over non-commutative operators that are ubiquitou…
quant-ph2024
Certifying ground-state properties of quantum many-body systems
Jie Wang, Jacopo Surace, Irénée Frérot +4
A ubiquitous problem in quantum physics is to understand the ground-state properties of many-body systems. Confronted with the fact that exact diagonalisation quickly becomes impos…