Nullspace-guided Adaptive Bootstrap of Quantum Many-body Systems

arXiv:2609.25834 · cond-mat.str-el, quant-ph · Submitted 2026-09-22 · Read on arXiv

cond-mat.str-el, quant-ph

Submitted: 2026-09-22

Updated: 2026-09-22

Comments: 13 pages, 5 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Hubbard Model — 9× in this paper · explained in 3 episodes
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Core — 2× in this paper · explained in 2 episodes
• Pruning — 2× in this paper · explained in 4 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Semidefinite Programming (SDP) — 1× in this paper · explained in 3 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Variational-Correlations Approach to Quantum Many-body Problems
• Coarse-grained Bootstrap of Quantum Many-body Systems
• The second-order reduced density matrix method and the two-dimensional Hubbard model
• Quantum Many-body Bootstrap
• Numerical exploration of the bootstrap in spin chain models
• Bootstrap bounds for Quantum Spin Systems using String Operators
• Bootstrap certification of string order in quantum spin chains
• Defect Bootstrap: Tight Ground State Bounds in Spontaneous Symmetry Breaking Phases
• Moment Optimization in the Navascu'es-Pironio-Ac'in Hierarchy
• Perturbation Theory and the Sum of Squares
• Improving Perturbation Theory with the Sum-of-Squares: Third Order
• Bootstrapping Disordered Quantum Systems
• A Semidefinite Program Solver for the Conformal Bootstrap
• QICS: Quantum Information Conic Solver

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