Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices

Abstract

We consider a class of large superposed states, obtained from dimer coverings on spin-1/2 isotropic lattices, whose potential usefulness ranges from organic molecules to quantum computation. We show that they are genuinely multiparty entangled, irrespective of the geometry and dimension of the isotropic lattice. We then present an efficient method to characterize the genuine multisite entanglement in the case of isotropic square spin-1/2 lattices, with short-range dimer coverings. We use this iterative analytical method to calculate the multisite entanglement of finite-sized lattices, which through finite-size scaling, enables us to obtain the estimate of the multisite entanglement of the infinite square lattice. The method can be a useful tool to investigate other single- and multisite properties of such states.

5 + 1 pages, 1 + 1 figures, Supplemetal Material included, REVTeX 4.1, published version

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• Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
• Enhancing robustness of multiparty quantum correlations using weak measurement
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Patterns of Genuine Multipartite Entanglement in Frustrated Quantum Spin Systems
• Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
• Effect of long-range interactions on multipartite entanglement in Heisenberg chains
• Tensor-network approach to compute genuine multisite entanglement in infinite quantum spin chains
• Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
• General spin systems without genuinely multipartite nonlocality
• Fibonacci sequence and its generalizations in doped quantum spin ladders
• Diverging scaling with converging multisite entanglement in odd and even quantum Heisenberg ladders