This repository contains python code and data associated with the papers Quantum Telecloning on NISQ computers and Optimized Telecloning Circuits: Theory and Practice of Nine NISQ Clones

The goal of this project is to implement several quantum telecloning algorithms on Quantinuum (formerly Honeywell) and IBMQ NISQ computers.

For interacting with the IBMQ devices, one needs to set up an IBMQ account and load their credentials locally so that the Qiskit IBMQ.load_account() will load your account credentials.

In order to execute the Quantinuum experiments one needs to first install the required Quantinuum API source code to interact with the backend; this should be in the form of a directory called qtuum

Then, for the purposes of computing the single state fidelity of the clones using Qiskit Ignis, a slight modification to the Qiskit Ignis source code (at least for qiskit-ignis==0.7.1) is required. This is explained in modified_qiskit_ignis_code/

The code that executes these quantum telecloning circuits on IBMQ and Quantinuum backends (run_experiments/) functions by saving job ids to local storage, which can then be used to retrieve the results after all circuits have been executed.

However, these circuits are small enough to be easily simulated locally. The directory classical_simulation_code contains all of the relevant code to execute these local simulations. These local simulations are written entirely to be Qiskit compatible (with the slight modifications to Ignis source code), meaning they do not require any account setup from IBMQ or Quantinuum. In order to run the source code you will need to install python3 along with the required libraries in requirements.txt. You can install these requirements directly using the command python3 -m pip install -r requirements.txt

The python scripts that have the capability to send jobs to the various NISQ backends are in the directory run_experiments

The directories figures_Quantinuum, figures_IBMQ_post_select, figures_IBMQ_deferred_measurement contain figures which show clone fidelities as a function of varying message states when the telecloning circuits are executed on NISQ devices.

The directory circuit_drawings/ contains Qiskit circuit drawings for all telecloning circuit variants, including mid-circuit measurement with classical condition operations.

Note that these circuit drawings do not include any state tomography operations on the clone qubits.

bibtex:

@InProceedings{pelofske2022telecloning,
  author        = {Pelofske, Elijah and B{\"{a}}rtschi, Andreas and Garcia, Bryan and Kiefer, Boris and Eidenbenz, Stephan},
  booktitle     = {IEEE International Conference on Quantum Computing \& Engineering QCE'22},
  title         = {{Quantum Telecloning on NISQ Computers}},
  year          = {2022},
  doi           = {10.1109/QCE53715.2022.00083}
  archiveprefix = {arXiv},
  eprint        = {2205.00125},
}

@article{pelofske2022_M9_telecloning,
  doi = {10.48550/ARXIV.2210.10164},
  url = {https://arxiv.org/abs/2210.10164},
  author = {Pelofske, Elijah and Bärtschi, Andreas and Eidenbenz, Stephan},
  title = {Optimized Telecloning Circuits: Theory and Practice of Nine NISQ Clones},
  archiveprefix = {arXiv},
  year = {2022},
  eprint = {2210.10164},
}

Alternatively:

Elijah Pelofske, Andreas Bärtschi, Bryan Garcia, Boris Kiefer, and Stephan Eidenbenz. Quantum Telecloning on NISQ Computers. In IEEE International Conference on Quantum Computing & Engineering QCE’22, 2022. To appear. arXiv:2205.00125.

• Elijah Pelofske: Information Sciences, Los Alamos National Laboratory
• Andreas Bärtschi: Information Sciences, Los Alamos National Laboratory
• Bryan Garcia: Department of Physics, New Mexico State University
• Boris Kiefer: Department of Physics, New Mexico State University
• Stephan Eidenbenz: Information Sciences, Los Alamos National Laboratory

© 2022. Triad National Security, LLC. All rights reserved. This program was produced under U.S. Government contract 89233218CNA000001 for Los Alamos National Laboratory (LANL), which is operated by Triad National Security, LLC for the U.S. Department of Energy/National Nuclear Security Administration. All rights in the program are reserved by Triad National Security, LLC, and the U.S. Department of Energy/National Nuclear Security Administration. The Government is granted for itself and others acting on its behalf a nonexclusive, paid-up, irrevocable worldwide license in this material to reproduce, prepare derivative works, distribute copies to the public, perform publicly and display publicly, and to permit others to do so.

LANL C Number: C22038

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