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qiskit-advocate / qamp-spring-21

Qiskit advocate mentorship program (QAMP) spring 21 cohort
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Implement the meta-VQE algorithm #14

Closed Cryoris closed 3 years ago

Cryoris commented 3 years ago

Description

The variational quantum eigensolver (VQE) is maybe one of the famous quantum algorithms: provided with a Hamiltonian describing a quantum system and a parameterized ansatz state, it finds the optimal parameters such that the ansatz minimizes the energy of the system. In chemistry, finding the ground state is a hard problem and the VQE is a promising candidate to solve systems we're unable to solve classically.

The meta-VQE is a generalization of the VQE, where you not only have a parameterized ansatz but can also have a parameterized Hamiltonian. The details are discussed in this paper: https://arxiv.org/pdf/2009.13545.pdf.

The goal of this project is to implement the meta-VQE algorithm in Qiskit.

Mentor/s

Julien Gacon (@Cryoris), Pre-Doc researcher at IBM Research Zurich, Qiskit Terra and Aqua core developer

Type of participant

You know the basics of Qiskit and the VQE, and ideally have worked with the VQE in the past. You don't have to be a chemist for this (neither am I)!

Number of participants

1 (possibly 2)

Deliverable

A PR with the meta-VQE to Qiskit.

ericardomuten commented 3 years ago

I am interested in this project and I noticed that the author of the paper has made a Jupyter Notebook tutorial but in PennyLane (https://github.com/AlbaCL/qhack21/blob/main/Meta-VQE.ipynb). I am putting the link here since I think it will be useful for this project.