Quantum logic gates for superconducting resonator qudits

TL;DR

This paper proposes a theoretical framework for implementing quantum logic gates on superconducting resonator qudits, enabling quantum information processing with harmonic oscillator modes using experimentally feasible interactions.

Contribution

It introduces a universal set of single and coupled gates for resonators coupled via superconducting circuits, advancing the use of resonator modes as quantum $d$-level systems.

Findings

Proposes a universal set of quantum gates for superconducting resonator qudits.

Utilizes experimentally demonstrated interactions for gate implementation.

Provides a theoretical pathway for scalable quantum information processing.

Abstract

We study quantum information processing using superpositions of Fock states in superconducting resonators, as quantum $d$-level systems (qudits). A universal set of single and coupled logic gates is theoretically proposed for resonators coupled by superconducting circuits of Josephson juctions. These gates use experimentally demonstrated interactions, and provide an attractive route to quantum information processing using harmonic oscillator modes.