Convergence Without Finite Exactness in the Eigenstate Quantum Bootstrap

math-ph, math.MP, quant-ph

Submitted: 2026-10-06

Updated: 2026-10-06

Comments: 36 pages. Numerical scripts and solver inputs and outputs included as ancillary files. Companion paper: arXiv:2610.03362

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

Sources

• Bootstrapping Simple QM Systems
• Bootstrapping the stationary state of bosonic open quantum systems
• Bootstrapping the gap in quantum spin systems
• Bootstrapping the Kronig-Penney Model
• Stationarity is not enough: tightness of the quantum mechanical bootstrap and the copositive cone
• Strict non-tightness of the level-3 quantum bootstrap for a natural three-dimensional Hamiltonian, at an excited level

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