Quantum computation with the Jaynes-Cummings model

TL;DR

This paper presents a novel method for implementing a two-qubit gate using the Jaynes-Cummings model, leveraging optical paths and nonlinear sign-shift gates to achieve low-error quantum operations.

Contribution

It introduces a new scheme for two-qubit gates with the JCM, including experimental setups for practical realization and error analysis.

Findings

Successful construction of a conditional sign-flip gate with low error probability

Two experimental configurations proposed for implementation using optical components

Demonstration of the scheme's feasibility with coherent light experiments

Abstract

In this paper, we propose a method for building a two-qubit gate with the Jaynes-Cummings model (JCM). In our scheme, we construct a qubit from a pair of optical paths where a photon is running. Generating Knill, Laflamme and Milburn's nonlinear sign-shift gate by the JCM, we construct the conditional sign-flip gate, which works with small error probability in principle. We also discuss two experimental setups for realizing our scheme. In the first experimental setup, we make use of coherent lights to examine whether or not our scheme works. In the second experimental setup, an optical loop circuit made out of the polarizing beam splitter and the Pockels cell takes an important role in the cavity.