Combinatorial approach to the representation of the Schur-Weyl duality in one-dimensional spin systems

DOI10.1063/1.5006328zbMath1390.82016OpenAlexW2788229721MaRDI QIDQ4607702

P. Jakubczyk, Dorota Jakubczyk

Publication date: 14 March 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5006328

Mathematics Subject Classification ID

Quantum computation (81P68) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

The one-dimensional Hubbard model in the limit of \(u\gg t\) ⋮ Application of the Schur-Weyl duality in the one-dimensional Hubbard model ⋮ Some details concerning transition from the Hubbard model to the Heisenberg model

Cites Work

• A new approach to representation theory of symmetric groups
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• Symmetric polynomials and the center of the symmetric group ring
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• Reductions of Young Tableau Bijections
• Efficient Quantum Circuits for Schur and Clebsch-Gordan Transforms
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• Symmetric and unitary group representations. I. Duality theory
• Irreducible representations of braid groups
• Optimal sequence of quantum measurements in the sense of Stein s lemma in quantum hypothesis testing
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• On the Representations of the Symmetric Group
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