Quantum Time Series Analysis: Drift, Noise Spectroscopy and Calibration Forecasting

Tools for exploratory statistical analysis of quantum-hardware calibration time series. The package provides simulators for random telegraph noise (RTN), power-law noise, and Ornstein-Uhlenbeck dephasing; Welch and sine-multitaper power spectral density estimators; a lightweight two-state hidden Markov model for switching signals; cumulative sum (CUSUM) and binary-segmentation diagnostics for calibration drift; residual-quantile interval forecasts; and filter-function calculations for illustrative coherence curves. The package includes a reproducible generator of simulated superconducting-qubit calibration records; it does not retrieve authenticated live provider data. Methodological background is provided by Welch (1967) , Thomson (1982) , Rabiner (1989) , Page (1954) , Paladino et al. (2014) , and Cywinski et al. (2008) .

qtsa: Quantum Time Series Analysis

Author: Leila Marvian Mashhad [email protected]

First R package for statistical analysis of quantum hardware time series.

Features:

• Simulators: RTN, 1/f via Timmer-Koenig, OU
• PSD: Welch & multitaper for noise spectroscopy
• HMM for RTN fluctuator
• Changepoint (CP) + CUSUM for drift detection
• Conformal forecasting for T1/T2 (EnbPI)
• Filter function -> decoherence curve W(t)

Installation locally: R CMD INSTALL qtsa_0.1.0.tar.gz

Vignette: browseVignettes("qtsa")