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Simulation Codes for Certification of Genuine High-Dimensional Quantum Teleportation

Nengfei Gong

Published Jan 25, 2026• 0 citations
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Abstract

Written by Nengfei Gong This repository contains the simulation codes accompanying our research on certifying genuine high-dimensional quantum teleportation (HDQT). The codebase is divided into two main parts, implemented in Mathematica and MATLAB, respectively.This upload consists of 7 code files dedicated to the numerical analysis of genuine HDQT protocols: 3 Mathematica notebooks for calculating the optimal average fidelity over a given density of channel state for high-dimensional quantum teleportation. The methodology and theoretical framework implemented in these codes are derived from the seminal work presented in the following paper: "https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.22.054045". One can generalize corresponding codes for any d by following the similar rules. 4 MATLAB scripts/functions for computing the Genuine High-dimensional teleportation robustness (GHTR) of a given HDQT data. These codes are written in matlab and require CVX, QETLAB,and also the codes in "https://github.com/paulskrzypczyk/nonclassicalteleportation" (This seminal work has been a major inspiration for the construction of my codes)

DOI
10.5281/zenodo.18366411

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Written by Nengfei Gong This repository contains the simulation codes accompanying our research on certifying genuine multipartite high-dimensional quantum teleportation (HDQT). The codebase is divided into two main parts, implemented in Mathematica and MATLAB, respectively.This upload consists of 3 code files dedicated to the numerical analysis of genuine HDQT protocols: 1 Mathematica notebooks for calculating the optimal average teleportation fidelity over a given density of tripartite channel state. The methodology and theoretical framework implemented in these codes are derived from the seminal work presented in the following paper: "https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.22.054045". One can generalize corresponding codes for any d by following the similar rules. 2 MATLAB scripts/functions for computing the Genuine multipartite high-dimensional teleportation robustness (GHTR) of a given HDQT data and the Genuine multipartite high-dimensional entanglement robustness (GHER), which quantifies the channel entanglement. These codes are written in matlab and require CVX, QETLAB,and also the codes in "https://github.com/paulskrzypczyk/nonclassicalteleportation" (This seminal work has been a major inspiration for the construction of my codes)
Developing reliable methods for certifying the dimension of a given quantum system or process is essential to ensure the validity of claimed realization of high-dimensional (HD) quantum advantages. The existing criteria for certifying genuine HD quantum teleportation (HDQT) mainly focus on demonstrating the successful transmission of genuine HD quantum states. However, a complete certification of HDQT must also identify the entanglement dimension of resource, which is critical for verifying whether the transmission capacity and noise resilience meet the necessary thresholds. Here we propose two universal criteria (based on fidelity and robustness, respectively) for certifying genuine HDQT behaviors that can close this gap by fully identifying the dimension of the entanglement. Both criteria require only the input and output teleportation data and remain feasible under partial Bell-state measurements. Furthermore, the robustness-based criterion has stronger noise resistance and it requires no prior assumptions about local operations, making it robust even in black-box scenario. Our results establish a universal and reliable theoretical framework for validating the core quantum advantage in HDQT, pivotal for ensuring the reliable links in HD quantum networks.
This repository contains the Wolfram Mathematica source code associated with the article “Engineering non-Gaussian bosonic gates through quantum signal processing” by Pak-Tik Fong and Hoi-Kwan Lau. The notebooks implement numerical calculations and simulations for engineering non-Gaussian bosonic operations using quantum signal processing (QSP). They include the construction of QSP rotation sequences for mod-kk gates and noiseless linear amplification (NLA) under dispersive coupling. Specifically, the code compares QSP-based implementations with conventional multitone-driving schemes for dispersive- and Jaynes-Cummings-coupled qumode-qubit systems, including the simulations used to generate Figs. 2, 5(a), and 5(b) of the paper. The notebooks were developed using Wolfram Mathematica 12.0.
This repository contains the numerical data and computational codes supporting the results presented in the manuscript: "Engineered non-Gaussian Coherence as a Thermodynamic Resource for Quantum Batteries". The archive (data_QB.zip) includes all datasets, Jupyter notebooks, and figure files required to reproduce the results reported in both the main text and the Supplemental Material. Each figure is organised in a separate directory containing the corresponding data (.txt), code (.ipynb), and generated plots (.png/.pdf). The provided materials are sufficient to reproduce all figures and results without restriction. Detailed instructions and directory structure are described in the accompanying README.txt file. This dataset is made openly available to ensure transparency and reproducibility of the reported results.
This data repository contains the information necessary to reproduce the main results of the paper “Quantum computational displacement sensing”. The repository contains both the data required to generate the figures of the main manuscript and the supplemental material, as well as source code for running the experiments and simulations presented in the paper. There are two main folders: code_simulation (which consists of the training code and the baseline simulations) and code_experiment (which covers the experimental code). The corresponding requirements for running them are in the zipped folder. The data folder contains all simulation and experimental raw and processed data generated. The figures folder contains all the plots presented in the manuscript.