Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits

TL;DR

This paper proposes a robust method for implementing high-fidelity quantum gates using geometric phases combined with dynamical correction, leveraging polariton qubits in superconducting circuits to reduce errors and enhance scalability.

Contribution

It introduces a novel scheme that combines geometric phases with dynamical correction and polariton qubits to improve robustness against decoherence and control errors in quantum gates.

Findings

Error suppression up to second order for Z and X errors.

Implementation on superconducting circuits simplifies previous methods.

Enhanced robustness for scalable quantum computation.

Abstract

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