---

Overview

This repository provides complete quantum-circuit implementations for demonstrating quantum energy teleportation on IBM Quantum systems.

The code can be run in two modes:

• Local simulation — run the circuits on a classical simulator without an IBM Quantum account.
• Real quantum hardware — execute the experiment on IBM Quantum devices with an IBM Quantum account and API token.

The default workflow is designed to be accessible: no IBM Quantum credentials are required for local simulation, and the notebooks are written so that the circuit construction, measurement procedure, and energy-estimation logic can be inspected step by step.

---

What this repository contains

This project accompanies the experimental demonstration reported in:

K. Ikeda,

“Demonstration of quantum energy teleportation on superconducting quantum hardware,”

Physical Review Applied 20, 024051 (2023).

DOI: 10.1103/PhysRevApplied.20.024051

arXiv: 2301.02666

The repository includes:

• A complete notebook for the original QET demonstration.
• Local simulator workflows for laptop execution.
• IBM Quantum hardware execution workflows.
• A 2025 update using modern Qiskit Runtime workflows.
• Error-mitigation demonstrations using M3, dynamical decoupling, and Pauli twirling.
• Slides and documentation for understanding the physics and implementation.

---

Highlights

• Quantum Energy Teleportation on IBM Quantum hardware
• No IBM Quantum account required for the default simulator run
• Circuit-level implementation of Alice’s measurement and Bob’s conditional operation
• Energy-injection and energy-extraction estimation
• Updated 2025 notebooks with modern error-mitigation techniques
• Compatible with Qiskit 1.4.0 in the 2025 update notebooks
• Educational notebooks for both quantum-information and quantum-hardware demonstrations

---

Quick start

Clone the repository:

git clone https://github.com/IKEDAKAZUKI/Quantum-Energy-Teleportation.git
cd Quantum-Energy-Teleportation

Create and activate a Python environment:

python -m venv .venv
source .venv/bin/activate

For Windows:

.venv\Scripts\activate

Install the recommended packages:

pip install qiskit==1.4.0 qiskit-aer qiskit-ibm-runtime mthree numpy matplotlib jupyter

Launch Jupyter:

jupyter notebook

Then open:

Quantum_Energy_Teleportation.ipynb

---

Running on a local simulator

The default demonstration can be executed on a classical simulator. This mode does not require an IBM Quantum account or API token.

Recommended starting point:

Quantum_Energy_Teleportation.ipynb

This notebook walks through the basic QET protocol, including:

• Preparation of the ground state.
• Alice’s local measurement.
• Bob’s conditional operation.
• Estimation of injected and teleported energy.

---

Running on IBM Quantum hardware

To run the experiment on a real IBM Quantum device:

• Create or sign in to your IBM Quantum account:

https://www.ibm.com/quantum

• Obtain your IBM Quantum API token.
• Replace the placeholder token in the relevant notebook or script:

"My_API_Token"

with your own token.

Important: never commit your real API token to a public GitHub repository.

For production use, store the token in an environment variable or a local configuration file excluded by .gitignore.

---

Latest update 2025

The Latest update 2025 directory contains an updated implementation using recent Qiskit workflows and error-mitigation techniques.

Latest update 2025/
├── QET.py
├── QET_Experiment_Estimator.ipynb
└── QET_Experiment_M3_Error_Mitigation.ipynb

Included techniques

• Estimator-based execution
• M3 measurement mitigation
• Dynamical decoupling
• Pauli twirling
• Qiskit Runtime workflows
• Fake backend testing

Recommended notebooks:

• QET_Experiment_Estimator.ipynb
• QET_Experiment_M3_Error_Mitigation.ipynb

The 2025 update was tested with:

Qiskit 1.4.0

---

Repository structure

.
├── Quantum_Energy_Teleportation.ipynb
├── Latest update 2025/
│   ├── QET.py
│   ├── QET_Experiment_Estimator.ipynb
│   └── QET_Experiment_M3_Error_Mitigation.ipynb
├── PRApplied.pdf
├── QET slides.gif
├── QET slides.pdf
├── CITATION.cff
├── LICENSE
└── README.md

---

Documentation and slides

Additional documentation:

K. Ikeda,

“Quantum Games and Economics through Teleportation”

March 06, 2025.

SSRN: https://ssrn.com/abstract=5168193

Slides:

• Overview of Quantum Energy Teleportation — SlideShare
• QET slides.pdf

---

References

Main experimental paper

K. Ikeda, “Demonstration of quantum energy teleportation on superconducting quantum hardware,” Physical Review Applied 20, 024051 (2023). DOI: 10.1103/PhysRevApplied.20.024051 arXiv: 2301.02666

IBM Quantum

IBM Quantum website: https://www.ibm.com/quantum

---

Citation

If you use this repository in your research, please cite:

@article{PhysRevApplied.20.024051,
  title = {Demonstration of Quantum Energy Teleportation on Superconducting Quantum Hardware},
  author = {Ikeda, Kazuki},
  journal = {Phys. Rev. Appl.},
  volume = {20},
  issue = {2},
  pages = {024051},
  numpages = {12},
  year = {2023},
  month = {Aug},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevApplied.20.024051},
  url = {https://link.aps.org/doi/10.1103/PhysRevApplied.20.024051}
}

You can also use the included CITATION.cff file.

---

License

This project is released under the MIT License.

---

Funding

The work was supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Co-design Center for Quantum Advantage (C2QA) under Contract No.DESC0012704.

---

--- Tranlated By Open Ai Tx | Last indexed: 2026-07-26 ---