Published March 26, 2025 | Version v1

Qudit-native measurement protocol for dynamical correlations using Hadamard tests

  • 1. ROR icon Institute of Photonic Sciences
  • 2. Quantum Research Center, Technology Innovation Institute, P.O. Box 9639, Abu Dhabi, United Arab Emirates
  • 3. Kipu Quantum GmbH, Greifswalderstr. 226, 10405 Berlin, Germany
  • 4. ICFO-Institut de Ciencies Fotoniques
  • 5. ROR icon Institució Catalana de Recerca i Estudis Avançats
  • 6. Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento, 38123 Trento, Italy
  • 7. Trento Institute for Fundamental Physics and Applications, INFN, 38123 Trento, Italy

Description

This is the dataset used for generating the plots of our work (accepted in PRA)

The dataset is generated by a simulation protocol implemented in Python.

The file CORR_NN_spin1_XXZ_quench_N_10lam_0.2budg1500.csv contains the data depicted in FIG. 2. The columns contain each time point of evalutation, as well as the analytical value of the dynamical commutator and anti-commutator, their sampled values according to the Hadamard test and the linear response protocols, as well as the numerical value of the estimated variance of both.

The files FINAL_spin1_XXZ_quench_N_10... contain the same information for ten different strengths of the linear response parameter $\lambda$. This data is used for calculating the relative error and the time average of the standard deviation plotted in FIG. 3. 

Files

Dataset_Dynamical_Correlations.zip

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