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HamiltonianRecognition-codes Documentation

Source code for the paper Optimal Hamiltonian recognition of unknown quantum dynamics.

Identifying unknown Hamiltonians from their quantum dynamics is a pivotal challenge in quantum technologies and fundamental physics. Based on two quantum signal processing (QSP) structures, one can develop quantum algorithms to differentiate rotations with unknown angles, governed by unknown qubit-Hamiltonian selected from a known set.

In this repository, we provide two algorithm examples: one for binary Hamiltonian recognition that differentiates X, Z rotations, and the other for ternary Hamiltonian recognition that differentiates X, Y, Z rotations.

Protocols in this paper Location in this repository
binary Hamiltonian recognition (real experiment) qpu_experiment/XZ_recognition.ipynb
binary Hamiltonian recognition (local simulation) verification/XZ_recognition.ipynb
ternary Hamiltonian recognition (local simulation) verification/XYZ_recognition.ipynb

How to Run These Files?

We recommend running these files by creating a virtual environment using conda and install Jupyter Notebook. We recommend using Python 3.10 for compatibility.

conda create -n hamiltonian python=3.10
conda activate hamiltonian
conda install jupyter notebook

QPU devices are provided by the cloud platform of Tencent Quantum Lab. For readers who are interest in real experiments, please use the following command to install the necessary package:

pip install "tensorcircuit[cloud]"

Local simulations are based on the QuAIRKit package no lower than v0.3.0. This package is featured for batch and qudit computations in quantum information science and quantum machine learning. For readers who are interest in local simulations, run the following commands:

pip install quairkit

System and Package Versions

It requires tokens to run the QPU experiments. Other than that, no special hardware requirements are needed. The following are the versions of the packages used in this repository:

  • tensorcircuit: 0.12.0
  • quairkit: 0.3.0
  • torch: 2.5.1+cpu
  • numpy: 1.26.0
  • scipy: 1.14.1

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Source code for Hamiltonian Recognition paper arXiv:2412.13067

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