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Variational Approximate Quantum Eigendecomposition

Open Zoufalc opened this issue 5 years ago • 11 comments

Abstract

Eigendecompositions have a large variety of applications in physics, biology, mechanical engineering, ML, etc. To find the exact Eigendecomposition of a quantum system one has to employ Hamiltonian simulation techniques that require large, error-resistant systems. However, as discussed in https://arxiv.org/pdf/1810.10506.pdf an approximate Eigendecomposition can be implemented with a variational Ansatz.

Description

This contribution shall be a new algorithm in Qiskit Aqua. Check https://qiskit.org/documentation/contributing_to_qiskit.html including the installation from source.

Members

Deliverable

Implement the algorithm (into Qiskit Aqua) discussed in https://arxiv.org/pdf/1810.10506.pdf and present proof of principle applications.

GitHub repo

https://github.com/GalenPickard/qiskit-aqua/tree/master/qiskit/aqua/algorithms/adaptive/vqed

Zoufalc avatar Dec 06 '19 09:12 Zoufalc