Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model

TL;DR

This paper proposes a new scheme for universal quantum computation that combines decoherence-free subspaces with nonadiabatic geometric control, using XY interactions, to protect against decoherence and noise.

Contribution

It introduces an experimentally feasible method for nonadiabatic holonomic quantum computation within decoherence-free subspaces based on XY interactions.

Findings

Scheme enables universal quantum gates in decoherence-free subspaces.

Uses typical XY interaction, suitable for nano-engineered systems.

Facilitates realization of nonadiabatic holonomic quantum computation.

Abstract

A fundamental requirement of quantum information processing is the protection from the adverse effects of decoherence and noise. Decoherence-free subspaces and geometric processing are important steps of quantum information protection. Here, we provide a new experimentally feasible scheme to combine decoherence-free subspaces with nonadiabatic geometric manipulations to attain a universal quantum computation. The proposed scheme is different from previous proposals and is based on the typical XY interaction coupling, which can be set up in various nano-engineered systems and therefore open up for realization of nonadiabatic holonomic quantum computation in decoherence-free subspaces.