Quantum Entanglement of Tensor Networks with Symmetry Projections
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概要
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We investigate global-symmetry projections applied to tensor network states from the viewpoint of entanglement entropy and mutual information. The projections to the translational invariant space and 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 using variational states of projected tensor network states, because projections reflecting symmetries of the ground states generate quantum entanglement.
- 2012-04-15
著者
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Maruyama Isao
Department Of Biological Sciences Faculty Of Science University Of Kanagawa
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Ueda Hiroshi
Department Of Anatomy School Of Medicine University Of Occupational And Environmental Health
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Maruyama Isao
Department of Material Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
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Orii Masashi
Department of Material Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
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