Superadiabatic Geometric Gates with dressed-states formalismen

MARIA E RUS; OMAR OSENDA; ALEJANDRO FERRÓN; SERGIO S GOMEZ

Bahia Blanca

Congreso; 108° Reunión de la AFA (Asociación de Física Argentina). Año 2023. Bahía Blanca; 2023

Asociacion de Fisica Argentina

Geometric quantum computation studies and applies geometric properties of quantum systems to create quantum logic gates. It is known that an adiabatically evolving system driven by a non-degenerate Hamiltonian exhibits a phase factor that is purely geometric under a cyclic evolution. Nevertheless, the adiabatic condition usually implies long evolution times, and then “Shortcuts to Adiabaticity” (STA) techniques must be applied to obtain high-fidelity gates even in the fast-driving regime. In this work we propose a single-qubit geometric quantum gate where the Dressed-states (DS) formalism is applied as an STA protocol to make the system evolve adiabatically. We consider a two-level system driven by a microwave field and study the fidelity of the gate under errors of the control Microwave field and decoherence provided by the environment