Generalized Bell states and principal realization of the Yangian Y(sl_N)

Abstract

We prove that the action of the Yangian algebra Y(sl_N) is better described by the principal generators on the tensor product of the fundamental representation and its dual. The generalized Bell states or maximally entangled states are permuted by the principal generators in a dramatically simple manner on the tensor product. Under the Yangian symmetry the new quantum number J^2 is also explicitly computed, which gives an explanation for these maximally entangled states.

arXiv comment15 pages

References in corpus (3)

• Observation of three-photon Greenberger-Horne-Zeilinger entanglement
• Principal Realization of the Yangian Y(gl(n))
• Principal realization of twisted Yangians Y(g_N)

Cited by in corpus (5)

• An Upper Bound of Fully Entangled Fraction of Mixed States
• Detection of tripartite entanglement based on principal basis matrix representations
• Separability criteria based on the Weyl operators
• ${\mathbb{Z}}_3$ Parafermionic Chain Emerging From Yang-Baxter Equation
• Weak Schmidt decomposition and generalized Bell basis related to Hadamard matrices