An unconventional geometric phase gate with two nonresonant quantum dots trapped in a photonic crystal cavity

TL;DR

This paper presents a novel method for implementing a two-qubit controlled phase gate using an unconventional geometric phase in a system of two nonresonant quantum dots within a photonic crystal cavity, avoiding quantum dot transitions.

Contribution

It introduces a new scheme leveraging geometric phases for quantum gates with nonresonant quantum dots in photonic crystal cavities, enhancing robustness and control.

Findings

Successful implementation of a two-qubit controlled phase gate

Utilization of geometric phases for quantum gate operations

No quantum dot transitions occur during the gate process

Abstract

We propose a scheme for realizing a two-qubit controlled phase gate via an unconventional geometric phase with two nonresonant quantum dots trapped in a photonic crystal cavity. In this system, the quantum dots simultaneously interact with a large detuned cavity mode and strong driving classical light fields. During the gate operation, the quantum dots undergo no transitions, while the cavity mode is displaced along a closed path in the phase space. In this way, the system can acquire geometric phases conditional upon the states of the quantum dots. After implementing single-qubit operations, a two-qubit controlled phase gate can be constructed.