Realizing the fermionic Laughlin state on a trapped-ion quantum processor

This article describes the successful realization of the fermionic Laughlin state, a topological quantum state, on IonQ trapped-ion quantum computers via Amazon Braket.

• Researchers demonstrated the ν = 1/3 fermionic Laughlin state on programmable quantum processors for the first time
• Developed efficient Hamiltonian Variational Ansatz with only five parameters per repetition, scaling linearly with system size
• Truncated interaction Hamiltonian to O(N³) terms while maintaining 0.95+ fidelity with exact Laughlin state
• Executed circuits on IonQ Aria-1 (25 qubits) and Forte-1 (36 qubits) with combined error mitigation strategies
• Validated topological order through three independent diagnostics: edge density structures, correlation hole, topological entanglement entropy
• Experimental topological entanglement entropy (-0.92 ± 0.17) agreed with theoretical prediction (-1.10)

This work demonstrates quantum computers can simulate exotic topological phases, advancing toward practical quantum advantage in materials simulation and quantum computing applications.