search

qiskit-community / qiskit-camp-europe-19

19 stars 5 forks source link

Modifying Hamiltonian and wave function for VQE in Quantum Chemistry #37

Open leonardoguidoni opened 4 years ago

leonardoguidoni commented 4 years ago

Abstract

Consider a fermionic system described by the hamiltonian 𝐻. Using Qiskit Chemistry, 𝐻 is written with the Pauli matrix formalism. We propose the following tasks: • Add additional constraint to H. For instance a particle-number-conserving term ℎ to 𝐻 to get: 𝐻' = 𝐻 + ℎ ℎ = 𝛼 (Σ_i a+_i,a_i − 𝑁)^2 𝛼 is a parameter and 𝑁 is the total number of particles • Write an alternative variational ansatz (with input-customized number and type of gates) for the wave function

Members

Deliverable

A Qiskit Aqua pull request

GitHub repo

https://github.com/leonardoguidoni/qiskit-aqua

Brogis1 commented 4 years ago

Me and Lukas can help you with modifying the Hamiltonian class, if you need help ;)

leonardoguidoni commented 4 years ago

Sure we need! Thanks. Leonardo

GinoBishop commented 4 years ago

This issue sounds promising as it seems to be a good introduction to VQE, which I want to use in near-term future. If I am not totally wrong, I'd like to participate in the hope to understand VQE and its application to quantum chemistry problems.

YoditG commented 4 years ago

I'm very intrested in working on this project!

leonardoguidoni commented 4 years ago

Great! we have two new members of the group! Team is complete!

leonardoguidoni commented 4 years ago

The team is located in front of the pitch place. VQE on the blackboard