Entanglement statistics of randomly interacting spins
- URL: http://arxiv.org/abs/2307.09685v1
- Date: Tue, 18 Jul 2023 23:58:32 GMT
- Title: Entanglement statistics of randomly interacting spins
- Authors: Paulo Freitas Gomes, Marcel Novaes, and Fernando Parisio
- Abstract summary: Entanglement depends on the underlying topology of the interaction among the qubits.
We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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