Generation of Fock-State Superpositions and Binomial-Code Holonomic Gates via Dressed Intermediate States in the Ultrastrong Light-Matter Coupling Regime
Ye‐Hong Chen, Wei Qin, Roberto Stassi, Xin Wang, Franco Nori · arXiv (Cornell University) · 2020
By using the dressed-state properties of an ultrastrong coupling system, we propose to generate and manipulate, with high fidelities, arbitrary superposition of Fock states. These generated states can form bosonic codes (e.g., binomial codes) to implement nonadiabatic holonomic quantum computation, making the computation fast, robust, and fault-tolerant. The holonomic gates are induced by geometric phases, which possess a built-in noise-resilience feature against local noises. Using ultrastrong couplings allows us to apply relatively strong driving fields, so that one can generate states and gates in tens of nanoseconds. Such a fast evolution makes our protocols robust against decoherence caused by the decays and dephasings of both the cavity and the atom. Moreover, we design the control fields by a systematic-error-sensitivity nullification method, thus our protocols can be mostly insensitive to systematic errors caused by pulse imperfections.