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Quantum Information approach to the Ising model

P. Štelmachovič·V. Bužek
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Abstract

We present detailed analytical calculations for an 1D Ising ring of arbitrary number of spin-1/2 particles, in order to reveal entanglement properties of the stationary states. We show that the ground state and specific eigenstates of the Ising Hamiltonian posses remarkable entanglement properties that can reveal new insight into quantum correlations present in the Ising model. This correlations might be exploited in quantum information processing. We propose an intuitive picture of the behaviour of multipartite entanglement and discuss a relation of our results to some aspects of phase transitions in the Ising model.

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P. Štelmachovič, V. Bužek. 2004-06-23. Quantum Information approach to the Ising model. https://arxiv.org/abs/quant-ph/0312154

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