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Data repository of the paper "A quantum annealer with fully programmable all-to-all coupling via Floquet engineering"

Tatsuhiro Onodera, Edwin Ng, Peter L. McMahon

Published Apr 3, 2020• 0 citations
Publisher

Abstract

This data repository contains the information necessary to reproduce the main results of the paper “A quantum annealer with fully programmable all-to-all coupling via Floquet engineering”. The repository contains both the data required to generate each of the figures of the main manuscript, as well as source code for running simulations of the proposed scheme. Please note that the project was conducted in Julia version 0.6, which can be downloaded from https://julialang.org/downloads/oldreleases/. The repository is structured around each of the figures of the main manuscript. Please read the README for a summary of the structure of each folder, as well as the guidelines for generating the corresponding figure and running the corresponding source code.

DOI
10.5281/zenodo.3739379

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This repository contains the Julia source code used to generate the numerical data and transmission probability maps presented in **Figure 5** of the manuscript: "Floquet Engineering of Quantum Transport through two Driven Impurities" by V. Bruno, C. Kollath, R. Citro, and A. Sheikhan. ### OverviewThe code implements the boundary conditions for a driven quantum system to determine the probability amplitudes across multiple Floquet channels (specifically 41 channels in the default configuration). The core function, `calculate_transmission_continuum`, sets up and solves the linear system A⋅bA \cdot bA⋅b to compute the total transmission probability as a function of the scattering energy (EEE) and the driving amplitude (γ\gammaγ). This function serves as the computational backbone for most of the numerical results presented in the paper. The script uses parallel multithreading to efficiently sample a 500×500500 \times 500500×500 grid of parameters, generating two distinct datasets for the transmission maps:* **Map 1:** Transmission probability matrix T1T_1T1​ for a potential barrier strength ν=0.0\nu = 0.0ν=0.0.* **Map 2:** Transmission probability matrix T2T_2T2​ for a potential barrier strength ν=0.7\nu = 0.7ν=0.7. ### Repository Contents* `transmission_fig5_generation.jl`: The complete Julia script containing the solver logic, the multithreaded data generation routine (`genera_dati`), and the physical parameters chosen for the publication. ### Prerequisites & DependenciesTo run this code, you need a working installation of the Julia programming language along with the following packages:* `PyPlot` (for visualization alignment)* `LinearAlgebra` (for matrix inversion via the `\` operator)* `ProgressMeter` (to monitor the multi-threaded grid computation)* `LaTeXStrings` ### How to Run1. Enable multithreading in your Julia session (e.g., start Julia with `julia -t auto` or set the `JULIA_NUM_THREADS` environment variable).2. Execute the script to generate the variables `E_dati`, `gamma_dati`, `T_map1`, and `T_map2`.