# Quantum Measurement of a Coupled Nanomechanical Resonator -- Cooper-Pair Box System

Source: [Quantum Measurement of a Coupled Nanomechanical Resonator -- Cooper-Pair Box System](<https://www.sota2.com/research/paper/68fa26042c2a3760193b5d42>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:06:39.502Z

Authors: Elinor K. Irish, K. Schwab

Published: 2003-01-15T00:18:20.000Z

## Abstract

We show two effects as a result of considering the second-order correction to the spectrum of a nanomechanical resonator electrostatically coupled to a Cooper-pair box. The spectrum of the Cooper-pair box is modified in a way which depends on the Fock state of the resonator. Similarly, the frequency of the resonator becomes dependent on the state of the Cooper-pair box. We consider whether these frequency shifts could be utilized to prepare the nanomechanical resonator in a Fock state, to perform a quantum non-demolition measurement of the resonator Fock state, and to distinguish the phase states of the Cooper-pair box.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0301252>)

[PDF](<https://arxiv.org/pdf/cond-mat/0301252.pdf>)