Fingerprints of Qubit Noise in Transient Cavity Transmission

Abstract

Noise affects the coherence of qubits and thereby places a bound on the performance of quantum computers. We theoretically study a generic two-level system with fluctuating control parameters in a photonic cavity and find that basic features of the noise spectral density are imprinted in the transient transmission through the cavity. We obtain analytical expressions for generic noise and proceed to study the cases of quasistatic, white and $1/f^{\alpha }$ noise in more detail. Additionally, we propose a way of extracting the spectral density for arbitrary noise in a frequency band only bounded by the range of the qubit-cavity detuning and with an exponentially decaying error due to finite measurement times. Our results suggest that measurements of the time-dependent transmission probability represent a novel way of extracting noise characteristics.

6 pages, 2 figures

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Cited by in corpus (6)

• Single Qubit Error Mitigation by Simulating Non-Markovian Dynamics
• Non-Markovian transient spectroscopy in cavity QED
• A photonic which-path entangler based on longitudinal cavity-qubit coupling
• Noisy Demkov-Kunike model
• Transmission-based noise spectroscopy for quadratic qubit-resonator interactions
• Theory of qubit noise characterization using the long-time cavity transmission