Adaptive Projected Variational Quantum Dynamics (Adaptive pVQD)

Associated paper:
David Linteau, Stefano Barison, Netanel Lindner, Giuseppe Carleo, Adaptive projected variational quantum dynamics, 2023, (https://arxiv.org/abs/2307.03229).

Implementatiton based on:

• https://github.com/StefanoBarison/p-VQD
• https://github.com/qiskit-community/qiskit-algorithms/tree/main/qiskit_algorithms/time_evolvers/pvqd

Content of the repository

• main.py : run the Adaptive pvQD algorithm for a given Hamiltonian and initial conditions;
• hamiltonian.py : define different time-dependent and time-independent Hamiltonians;
• parametrized_circuit.py : append initial conditions (and possibly a starting ansatz) to a circuit;
• utils.py: define utility functions;
• adaptive_pvqd.py : evolve in time the system of interest (backbone of the code);
• exact_evol_with_qutip.py : "exact" quantum dynamics using QuTiP (solving the Lindblad master equation);
• trotter_evolution.py : implement the Trotter evolution of a given Hamiltonian;
• data_and_figures : folder that contains pre-produced results of simulations, associated plots and the Python scripts used to produce the plots