A Quantum Information-Theoretic Proof of the Relation between Horn’s Problem and the Littlewood-Richardson Coefficients

DOI10.1007/978-3-540-69407-6_13zbMath1143.81002arXiv0804.1712OpenAlexW3102355178MaRDI QIDQ3507425

Matthias Christandl

Publication date: 19 June 2008

Published in: Logic and Theory of Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1712

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Quantum computation (81P68) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Recoupling coefficients and quantum entropies ⋮ Eigenvalue distributions of reduced density matrices ⋮ Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact lie groups

Cites Work

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• The spectra of quantum states and the Kronecker coefficients of the symmetric group
• Nonzero Kronecker coefficients and what they tell us about spectra
• Eigenvalues of sums of Hermitian matrices
• Stable bundles, representation theory and Hermitian operators
• The saturation conjecture (after A. Knutson and T. Tao). With an appendix by William Fulton
• Spectral polyhedron of a sum of two Hermitian matrices
• Symmetry properties of product states for the system of N n-level atoms
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture

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