Stable Hilbert series as related to the measurement of quantum entanglement

DOI10.1016/j.disc.2009.06.021zbMath1209.13019OpenAlexW2155049093MaRDI QIDQ1045190

Michael W. Hero, Jeb F. Willenbring

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.06.021

zbMATH Keywords

Hilbert seriesquantum entanglementSchur-Weyl dualityKronecker coefficients

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Actions of groups on commutative rings; invariant theory (13A50) Quantum coherence, entanglement, quantum correlations (81P40)

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Cites Work

• The Hilbert series of measures of entanglement for 4 qubits
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• A complete set of covariants of the four qubit system
• Unitary invariants of qubit systems
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
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