Diabatic quantum gates

TL;DR

This paper introduces a novel quantum computation approach that leverages controlled non-adiabatic transitions, using an analogy with atomic collisions, to implement quantum gates and suggests a potential for universal fault-tolerant quantum computing.

Contribution

It proposes a new diabatic quantum computation model based on controlling non-adiabatic transitions, contrasting with traditional adiabatic schemes.

Findings

Demonstrates quantum gates using a two-state model

Shows the potential for diabatic universal fault-tolerant quantum computation

Introduces a Hamiltonian-based approach for non-adiabatic state transitions

Abstract

At present, several models for quantum computation have been proposed. Adiabatic quantum computation scheme particularly offers this possibility and is based on a slow enough time evolution of the system, where no transitions take place. In this work, a new strategy for quantum computation is provided from the opposite point of view. The objective is to control the non-adiabatic transitions between some states in order to produce the desired exit states after the evolution. The model is introduced by means of an analogy between the adiabatic quantum computation and an inelastic atomic collision. By means of a simple two-state model, several quantum gates are reproduced, concluding the possibility of diabatic universal fault-tolerant quantum computation. Going a step further, a new quantum diabatic computation model is glimpsed, where a carefully chosen Hamiltonian could carry out a non-adiabatic transition between the initial and the sought final state.