This package is a collection of scripts and methods for analyzing data from the Kaufman lab's experiment for boson sampling using atoms, tunneling in their optical lattice.Please read the paper [arXiv:2307.06936](https://doi.org/10.48550/arXiv.2307.06936) for context.The data included in the subdirectory ``Boson sampling data/`` consists of shots of the experiment, where the atoms are prepared in a particular pattern,then the atoms are allowed to tunnel, then the atom number parity is measured on each site.From this data, we estimate the clouding, full bunching, indistinguishability, and infer a part of the single particle unitary.

This dataset contains the data for the figures in the paper "EIT spectra of Rydberg atoms dressed with dual tone radio-frequency fields", submitted to Physical Review A. This dataset can be used to recreate the experimental and theory plots from the CSV files. The data show EIT spectra of Rydberg atoms driven with dual-tone RF fields (experimental), and Floquet spectra of numerical models that are used to model these EIT spectra (theory/numerical). The data demonstrate spectra of driven Rydberg atoms in the strong field regime, and the models demonstrate the applicability of two-level Floquet spectra to reproduce the dominant spectral features.

These data files contain the data for the measured transition frequencies shown in Table I and the traces in Figure 3 of the publication "Frequency-comb spectroscopy on pure quantum states of a single molecular ion," accessible at https://arxiv.org/abs/1911.12808. In this publication we use generally applicable quantum-logic techniques to prepare a trapped molecular ion in a single quantum state, drive terahertz rotational transitions with an optical frequency comb, and read out the molecular state non-destructively, leaving the molecule ready for further manipulation. One file contains data For Table 1. In the measurement of rotational transition frequencies, the intensities of the comb beams are varied to characterize the effect of AC Stark shift, while the intensity ratio between the sigma and pi polarized beams are kept at close to 2. The average intensity of the sigma-polarized comb beam is quantified by measuring the resultant Stark shift, fSS_sigma, on the 729 nm transition of the Ca+ ion, with the Ca+ ion where the CaH+ ion would be during rotational spectroscopy experiments. The other file contains data for Figure 3, (a) Spectra for the J = 4 to 2 transition: 40CaH+ is prepared in J = 2, followed by a pulse train from the comb Raman beams probing the J = 2 to J = 4 transition. After the probe pulse train, projective measurements of both initial and final states are performed and the state occupation probability is determined. The probe time is ~1.6 ms. The frequency shows the offset of the Raman difference frequency from the resonant value. (b) Rabi flopping on the J = 4 to J = 2 transition: Starting in J = 4, with the comb Raman pulse detuning set to resonance, the state of the 40CaH+ ion is driven coherently to J = 2 by a pulse train of variable duration from the comb Raman beams. The center wavelength of the frequency comb was ~800 nm for these spectra and Rabi flopping traces. The error bars stand for ±1 standard deviation.

Supplementary data for the article "Quantum state tracking and control of a single molecular ion in a thermal environment" by Yu Liu, Julian Schmidt, Zhimin Liu, David R. Leibrandt, Dietrich Leibfried, Chin-wen Chou, submitted to Science in 2024. The manuscript describes a quantum state-specific investigation of the molecular state evolution of a single CaH+ ion in a thermal environment. The molecular state can be tracked in real time with single quantum-state resolution and the thermal radiation-induced transitions can be reversed with coherent molecular state manipulation according to the outcomes of state measurements. Results on the transition rates are used to infer the properties of the thermal environment. The data may be used to reproduce the plots shown in the figures.

Simulated transmission curves illustrating an efficient new calculation method. Data was produced for a publication, and is indexed by figure.

Numerical values of all data points shown in figures for manuscript "Trap-integrated superconducting nanowire single-photon detectors for trapped-ion qubit state readout", Proc. SPIE 13025, Advanced Photon Counting Techniques XVIII, 1302506 (7 June 2024); https://doi.org/10.1117/12.3014455

Numerical values of all data points shown in figures for manuscript "Trap-Integrated Superconducting Nanowire Single-Photon Detectors with Improved RF Tolerance for Trapped-Ion Qubit State Readout", available on arXiv at https://arxiv.org/abs/2302.01462Manuscript in press at Applied Physics Letters.

Numerical values of all data points shown in figures for manuscript "Trap-Integrated Superconducting Nanowire Single-Photon Detectors with Improved RF Tolerance for Trapped-Ion Qubit State Readout", available on arXiv at https://arxiv.org/abs/2302.01462Manuscript in press at Applied Physics Letters.

This software package performs joint quantum state and measurement tomography. The software is provided as Python source code. A description of the algorithms used is in "Joint Quantum State and Measurement Tomography with Incomplete Measurements" https://arxiv.org/abs/1803.08245Included are three example scripts that simulate data for one or two trapped ion systems with either symmetric or asymmetric measurements:- analysis_scripts/paper_simulations.py: produces all data and histograms shown in related publication with seed = 0. Also provides an example of symmetric measurements.- analysis_scripts/asym_simulations.py: produces simulated data from asymmetric measurements by similar methods as in previous script.- analysis_scripts/load_tutorial/load_simulations.py: gives an example of loading data with asymmetric measurements.