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Variational dynamics as a ground-state problem on a quantum computer

Stefano Barison1,2*, Filippo Vicentini1, Ignacio Cirac3, Giuseppe Carleo1,2

1 Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

2 National Centre for Computational Design and Discovery of Novel Materials MARVEL, EPFL, Lausanne, Switzerland

3 Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany

* Corresponding authors emails: stefano.barison@epfl.ch
DOI10.24435/materialscloud:xf-wj [version v1]

Publication date: Nov 10, 2022

How to cite this record

Stefano Barison, Filippo Vicentini, Ignacio Cirac, Giuseppe Carleo, Variational dynamics as a ground-state problem on a quantum computer, Materials Cloud Archive 2022.142 (2022), doi: 10.24435/materialscloud:xf-wj.

Description

We propose a variational algorithm to study the real time dynamics of quantum systems as a ground-state problem on quantum devices. The method is based on the original proposal of Feynman and Kitaev to encode time into a register of auxiliary qubits. We prepare the Feynman-Kitaev Hamiltonian acting on the composed system as a qubit operator and find an approximate ground state using the Variational Quantum Eigensolver. We apply the algorithm to the study of the dynamics of a transverse field Ising chain with an increasing number of spins and time steps, proving a favorable scaling in terms of the number of two qubit gates. Through numerical experiments, we investigate its robustness against hardware noise, showing that the method can be use to evaluate dynamical properties of quantum systems and detect the presence of dynamical quantum phase transitions by measuring Loschmidt echoes. The scripts provided implement the algorithm both in Python, using the Qiskit library, and in Julia, using the Yao.jl package. Moreover, we included the data to reproduce the figures of the manuscript without running the simulations.

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Files

File name Size Description
Variational-Feynman-Kitaev.zip
MD5md5:b052a904659e23565d01cc2742906f66
1.8 MiB The archive contains the scripts to reproduce the method presented in the manuscript both in Julia and Python.

License

Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.

External references

Preprint (Preprint in which the method is presented, the files uploaded can be used to reproduce the results)

Keywords

Quantum simulation Quantum computing Real time evolution

Version history:

2022.142 (version v1) [This version] Nov 10, 2022 DOI10.24435/materialscloud:xf-wj