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arXiv · 2307.09685

Entanglement statistics of randomly interacting spins

Paulo Freitas Gomes·Marcel Novaes·Fernando Parisio
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Abstract

We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions. Since the Hamiltonians also contain deterministic one-body terms, by varying the interaction strength, one can continuously interpolate between deterministic separable eigenstates and fully random entangled eigenstates, with non-trivial intermediate behavior. Entanglement strongly depends on the underlying topology of the interaction among the qubits. For a certain class of interactions GHZ entanglement is favoured by a non-separable collective interaction, while for fully separable pairwise interactions the ground states concentrate in the vicinity of W states.

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Paulo Freitas Gomes, Marcel Novaes, Fernando Parisio. 2023-07-18. Entanglement statistics of randomly interacting spins. https://arxiv.org/abs/2307.09685

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