Entanglement in a 3-spin Heisenberg-XY chain with nearest-neighbor interactions, simulated in an NMR quantum simulator

TL;DR

This paper demonstrates the simulation of entanglement dynamics in a 3-spin Heisenberg-XY chain using NMR, creating multipartite entangled states like Bell, W, and GHZ states through unitary evolution and single-qubit rotations.

Contribution

It experimentally simulates XY interactions in a 3-spin chain using NMR, generating various multipartite entangled states from separable states.

Findings

Successfully generated Bell, W, and GHZ states in an NMR setup.

Demonstrated entanglement evolution driven by XY interactions.

Validated algebraic simulation method for XY Hamiltonian in NMR.

Abstract

The evolution of entanglement in a 3-spin chain with nearest-neighbor Heisenberg-XY interactions for different initial states is investigated here. In an NMR experimental implementation, we generate multipartite entangled states starting from initial separable pseudo-pure states by simulating nearest-neighbor XY interactions in a 3-spin linear chain of nuclear spin qubits. For simulating XY interactions, we follow algebraic method of Zhang et al. [Phys. Rev. A 72, 012331 (2005)]. Bell state between end qubits has been generated by using only the unitary evolution of the XY Hamiltonian. For generating W-state and GHZ-state a single qubit rotation is applied on second and all the three qubits respectively after the unitary evolution of the XY Hamiltonian.