Wigner-Unknown-Process-Tomography

The repository contains all the necessary code files for performing simulations and experiments for the Wigner tomography of unknown quantum processes.

What is Wigner tomography of unknown quantum processes?

This is a method to perform scanning-based tomography for unknown quantum processes in the framework of DROPS representation. This representation provides a rich visualization of quantum operators, such as density matrices and processes, by depicting them as shapes assembled as a linear combination of spherical harmonics. The DROPS representation can be accessed here: https://spindrops.org/.

Code structure

The code is structured as follows:

• The folder 'Qiskit_codes' contains codes for performing calibration experiments and experiments/simulations. The experiment/simulation outputs the expectation values as a '.mat' file, which is required for the reconstruction algorithm.
• Folder 'Reconstruction_algorithm' contains the algorithm based on with and without optimization. Here, the expectation values (obtained from experiments/simulations) can be used to get the full information about the unknown process.

Citation

If you use these codes and part of the codes, please cite it as follows:

@misc{devra2024theoryexperimentaldemonstrationwigner,
      title={Theory and Experimental Demonstration of Wigner Tomography of Unknown Unitary Quantum Gates}, 
      author={Amit Devra and Lèo Van Damme and Frederik vom Ende and Emanuel Malvetti and Steffen J. Glaser},
      year={2024},
      eprint={2411.05404},
      archivePrefix={arXiv},
      primaryClass={quant-ph},
      url={https://arxiv.org/abs/2411.05404}, 
}