Balanced tripartite entanglement, the alternating group \(A_{4}\) and the Lie algebra \(sl(3,\mathbb C)\oplus u(1)\)

DOI10.1016/S0034-4877(11)00009-7zbMath1235.81053arXiv0912.0172WikidataQ115339921 ScholiaQ115339921MaRDI QIDQ410676

Péter Lévay, Metod Saniga, Michel Planat

Publication date: 3 April 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0172

zbMATH Keywords

Lie algebrasquantum computationentanglement

Mathematics Subject Classification ID

Quantum computation (81P68) Lie algebras of linear algebraic groups (17B45) Quantum coherence, entanglement, quantum correlations (81P40)

Uses Software

• Magma

Cites Work

• Three-qubit entangled embeddings of \(CPT\) and Dirac groups within \(E_8\) Weyl group
• The Magma algebra system. I: The user language
• The Lie algebraic significance of symmetric informationally complete measurements
• Group theory for quantum gates and quantum coherence
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