The Hilbert series of measures of entanglement for 4 qubits

DOI10.1007/s10440-005-0471-3zbMath1097.81023OpenAlexW2083201947MaRDI QIDQ2501318

Nolan R. Wallach

Publication date: 4 September 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-005-0471-3

zbMATH Keywords

entanglementCohen-Macaulaysystem of parametersGorensteinqubits

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Quantum computation (81P68) Semisimple Lie groups and their representations (22E46) Groups and algebras in quantum theory (81R99)

Related Items

KRONECKER COEFFICIENTS VIA SYMMETRIC FUNCTIONS AND CONSTANT TERM IDENTITIES ⋮ A characterization of global entanglement ⋮ Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 symmetric tensors over prime fields ⋮ Computation of dilated Kronecker coefficients ⋮ Rank classification of tensors over ⋮ Products of symmetric group characters ⋮ Invariant polynomials on tensors under the action of a product of orthogonal groups ⋮ Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems ⋮ Stable Hilbert series as related to the measurement of quantum entanglement ⋮ On the boundedness of invariant hyperbolic domains ⋮ Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 arrays over 𝔽₂and 𝔽₃ ⋮ Kronecker coefficients for some near-rectangular partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Der kanonische Modul eines Invariantenrings. (The canonical module of a ring of invariants)
• Invariant Levi factors
• On the nullcone of representations of reductive groups.
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• A note on factorial rings
• Polynomial bounds for rings of invariants
• THE CONSTRUCTIVE THEORY OF INVARIANTS
• Global entanglement in multiparticle systems
• Orbits and Representations Associated with Symmetric Spaces