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arXiv · 1202.0383

Quantum Entanglement of Tensor Networks with Symmetry Projections

Masashi Orii·Hiroshi Ueda·Isao Maruyama
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Abstract

We investigate the global-symmetry projections applied to the tensor network states from the view point of the entanglement entropy and the mutual information. The projections to the translational invariant space and to the total-$S^z$-zero space give logarithmically increasing mutual information with respect to the system size. In the anti-ferromagnetic $S=1/2$ Heisenberg chain and lattice, the optimized energies become accurate numerically by using variational states of the projected tensor network states, because the projections reflecting symmetries of the ground states generate quantum entanglement.

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Masashi Orii, Hiroshi Ueda, Isao Maruyama. 2012-02-02. Quantum Entanglement of Tensor Networks with Symmetry Projections. https://doi.org/10.1143/jpsj.81.043001

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