The Rayleigh-Lorentz Invariant and Optimal Adiabatic Qubit-Information Detection for Superconducting Qubit Resonators

TL;DR

This paper explores the time-dependent behavior of the Rayleigh-Lorentz invariant in flux qubit resonators to establish optimal conditions for adiabatic qubit-information detection, aiding quantum nondemolition readouts.

Contribution

It introduces a new analysis of the Rayleigh-Lorentz invariant's dynamics and derives a condition for optimal adiabatic detection in flux qubit resonators.

Findings

Derived a condition for optimal adiabatic detection

Analyzed the temporal evolution of the invariant

Provided insights for designing quantum nondemolition readouts

Abstract

Dynamical properties of a resonator can be analyzed using the Rayleigh-Lorentz invariant which is not an exact constant but varies more or less over time. We investigate the time behavior of this invariant for a flux qubit resonator in order for better understanding of qubit-information detection with the resonator. Flux qubit resonators can be utilized in implementing diverse next generation nano-optic and nano-electronic devices such as quantum computing systems. Through the analyses of the temporal evolution of the invariant, we derive a condition for optimal adiabatic qubit-information detection with the resonator. This condition is helpful for controlling the dynamics of qubit resonators over long periods of time. It is necessary to consider it when designing a nano-resonator used for quantum nondemolition readouts of qubit states, crucial in quantum computation.