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Certifying Ground-State Properties of Many-Body Systems

Jie Wang ¹, Jacopo Surace^2,3, Irénée Frérot ^4,5, Benoît Legat⁶, Marc-Olivier Renou^7,8, Victor Magron ⁹, and Antonio Acín^2,10

¹Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China
²ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860 Castelldefels (Barcelona), Spain
³Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada
⁴Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, 38000 Grenoble, France
⁵Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France
⁶ESAT, KU Leuven, Leuven, Belgium
⁷Inria Paris-Saclay, Bâtiment Alan Turing, 1, rue Honoré d’Estienne d’Orves—91120 Palaiseau, France
⁸CPHT, Ecole polytechnique, Institut Polytechnique de Paris, Route de Saclay—91128 Palaiseau, France
⁹LAAS-CNRS and Institute of Mathematics from Toulouse, Toulouse, France
¹⁰ICREA-Institució Catalana de Recerca i Estudis Avançats, 08010 Barcelona, Spain

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Articles Citing

Certifying Ground-State Properties of Many-Body Systems

Rigorous Anderson-type lower bounds on the ground-state energy of the pyrochlore Heisenberg antiferromagnet

Scalable ground-state certification of quantum spin systems via structured noncommutative polynomial optimization

Iterative optimization in quantum metrology and entanglement theory using semidefinite programming

A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems

Non-commutative optimization problems with differential constraints

Certifying Ergotropy under Partial Information

Mapping Phase Diagrams of Quantum Spin Systems through Semidefinite-Programming Relaxations

Bootstrapping Flatband Superconductors: Rigorous Lower Bounds on Superfluid Stiffness

Bootstrapping Quantum Hamiltonians with Symmetry

Obtaining accurate ground-state properties on near-term quantum devices

Nonadiabatic self-healing of Trotter errors in digitized counterdiabatic dynamics

Bootstrapping the stationary state of bosonic open quantum systems

Universal scaling laws for correlated decay of many-body quantum systems

Near-Frustration-Free Electronic Structure Hamiltonian Representations and Lower-Bound Certificates

High-precision ground state parameters of the two-dimensional spin-1/2 Heisenberg model on the square lattice

Coarse-grained bootstrap of quantum many-body systems

A Dual Riemannian Augmented Lagrangian Method for Low-Rank SDPs with Unit Diagonal

First-Order Optimality Conditions for Non-Commutative Optimization Problems

Certifying steady-state properties of open quantum systems

Mitigating shot noise in local overlapping quantum tomography with semidefinite programming

Certified algorithms for equilibrium states of local quantum Hamiltonians

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