Comment on some results of Erdahl and the convex structure of reduced density matrices
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Publication:2865494
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
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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