Comment on some results of Erdahl and the convex structure of reduced density matrices

DOI10.1063/1.4736842zbMath1276.81007arXiv1205.3682OpenAlexW2084226713MaRDI QIDQ2865494

Zhengfeng Ji, Bei Zeng, Mary Beth Ruskai, Duan-Lu Zhou, Jianxin Chen

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3682

Mathematics Subject Classification ID

Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Convex sets and cones of operators (47L07) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (8)

A variational principle for ground spaces ⋮ An effective solution to convex 1-body \(N\)-representability ⋮ The face lattice of the set of reduced density matrices and its coatoms ⋮ Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach ⋮ Continuity of the maximum-entropy inference ⋮ Operator systems and convex sets with many normal cones ⋮ Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States ⋮ Ground-state spaces of frustration-free Hamiltonians

Cites Work

• The spectra of quantum states and the Kronecker coefficients of the symmetric group
• The Pauli principle revisited
• Parts of quantum states
• Quantum error correction via codes over GF(4)
• Reduction of the N-Particle Variational Problem
• ConnectingN-representability to Weyl's problem: the one-particle density matrix forN= 3 andR= 6

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