Berlin 2024 – scientific programme

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QI: Fachverband Quanteninformation

QI 15: Quantum Computing Theory

QI 15.12: Talk

Wednesday, March 20, 2024, 12:45–13:00, HFT-FT 101

Holonomic quantum computation: a scalable adiabatic architecture — Jose Carrasco, Tommaso Guaita, and •Clara Wassner — Dahlem Center for Complex Quantum Systems, Freie Universitat Berlin, 14195 Berlin, Germany

Holonomic quantum computation is a framework that exploits the geometric evolution within specific eigenspaces of a degenerate Hamiltonian to enact the unitary evolution of computational states. In this study, we present a scalable architecture consisting of a universal set of fully holonomic gates, specifically designed for quantum computations on contemporary experimental platforms. Notably, our proposal offers a straightforward implementation in Rydberg array experiments, capitalizing on the capability to manipulate atoms using tweezers. This renders the experimental realization of large-scale holonomic implementations feasible for the first time. Owing to their geometric nature, our gates exhibit promising resistance against certain faults. We conduct a comprehensive analysis of the geometric properties of these gates, giving systematic insight on the mechanisms of their noise robustness. To demonstrate the resistance of our gates, we conduct a range of simulations under various coherent and incoherent error models.

Keywords: Holonomic quantum computing; Adiabatic theorem; Noise resistance; Differential Geometry