Semidefinite Relaxation of Multimarginal Optimal Transport for Strictly Correlated Electrons in Second Quantization

DOI10.1137/20M1310977zbMath1456.49037arXiv1905.08322MaRDI QIDQ5147962

Lexing Ying, Michael Lindsey, Yuehaw Khoo, Lin Lin

Publication date: 29 January 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08322

zbMATH Keywords

semidefinite programmingconvex relaxationoptimal transportmultimarginal optimal transportstrictly correlated density functional theory

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20) Optimal transportation (49Q22)

Related Items (4)

Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation ⋮ Universal diagonal estimates for minimizers of the Levy-Lieb functional ⋮ A Global Optimization Approach for Multimarginal Optimal Transport Problems with Coulomb Cost ⋮ Geometry of Kantorovich polytopes and support of optimizers for repulsive multi-marginal optimal transport on finite state spaces

Uses Software

• CVX
• OpenFermion

Cites Work

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• Density functionals and model Hamiltonians: pillars of many-particle physics
• Elementary proof for Sion's minimax theorem
• Semi-classical limit of the Levy-Lieb functional in density functional theory
• Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional
• Elliptic Preconditioner for Accelerating the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory
• Breaking the Curse of Dimension in Multi-Marginal Kantorovich Optimal Transport on Finite State Spaces
• Optimal transport with Coulomb cost. Approximation and duality
• 9. Optimal transportation theory with repulsive costs
• Density Functional Theory and Optimal Transportation with Coulomb Cost
• Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces
• Convex Relaxation Approaches for Strictly Correlated Density Functional Theory
• Continuity of Multimarginal Optimal Transport with Repulsive Cost
• A Numerical Method to Solve Multi-Marginal Optimal Transport Problems with Coulomb Cost
• Iterative Procedures for Nonlinear Integral Equations
• Convex Analysis
• Optimal Transport

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