Robust nonadiabatic holonomic quantum gates on decoherence-protected qubits

Obtaining high-fidelity and robust quantum gates is the key for scalable computation, one of promising ways to implement using geometric phases, where influence local noises can be greatly reduced. To obtain gates, we here propose a scheme manipulation by combining phase approach with dynamical correction technique, imperfection control induced X-error suppressed. Moreover, against decoherence effect randomized qubit-frequency shift Z-error, our also proposed based on polariton qubit, eigenstates light–matter interaction, which immune both errors up second order, due its near symmetric energy spectrum. Finally, implemented superconducting circuits, simplifies previous implementations. Since main reduced in proposal, it provides strategy solid-state fault-tolerant computation.