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This research demonstrates how particle-number-preserving variational circuits can successfully prepare Laughlin phase states, offering a robust method to benchmark topological order on both spherical and toroidal geometries. By utilizing VQE and VQD algorithms, the study advances our ability to simulate strongly correlated systems near-term, providing critical insights into fractionalization without relying solely on simplified 1D approximations.
Particle-Number Circuits Prepare Fractional Quantum Hall Manifolds
Variational quantum circuits prepare states exhibiting properties of the fractional quantum Hall effect, specifically the Laughlin phase.
Researchers are employing particle-number-preserving variational circuits to simulate the complex behavior of fractional quantum Hall states, a specialized area of quantum physics focused on the Laughlin phase described by the Haldane pseudopotential. The work demonstrates a new approach to characterizing these states by benchmarking performance on two distinct geometries: the Haldane sphere and the torus shape, moving beyond typical two-dimensional simulations. On the Haldane sphere, the target state is a unique zero-energy Laughlin ground state, providing a controlled…
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