Using CAFQA Initialization For the Analysis of Spin Hamiltonians
Session Number
Project ID: CMPS 15
Advisor(s)
Dr. Gokul Subramanian Ravi; University of Chicago
Discipline
Computer Science
Start Date
19-4-2023 9:35 AM
End Date
19-4-2023 9:50 AM
Abstract
The variational quantum eigensolver has been shown to be an efficient and accurate algorithm which can be implemented on NISQ era quantum computers. The variational quantum eigensolver relies on both classical and quantum computing, finding appropriate classical algorithms to combine with quantum computation will greatly improve the applicability of this algorithm.
Last year, Gokul Ravi and others demonstrated a novel classical bootstrap for state initialization called the Clifford Ansatz For Quantum Accuracy. Their work primarily focused on determining how effective CAFQA was for finding ground state energies in molecular chemistry problems.
This research project aims to further develop this technique by demonstrating how effective it is when applied to finding the ground state energies for variations of the Heisenberg Hamiltonian on one dimensional chains and two dimensional lattices. Furthermore, the original CAFQA algorithm will be extended to calculate arbitrary energy states rather than solely ground state energies.
Using CAFQA Initialization For the Analysis of Spin Hamiltonians
The variational quantum eigensolver has been shown to be an efficient and accurate algorithm which can be implemented on NISQ era quantum computers. The variational quantum eigensolver relies on both classical and quantum computing, finding appropriate classical algorithms to combine with quantum computation will greatly improve the applicability of this algorithm.
Last year, Gokul Ravi and others demonstrated a novel classical bootstrap for state initialization called the Clifford Ansatz For Quantum Accuracy. Their work primarily focused on determining how effective CAFQA was for finding ground state energies in molecular chemistry problems.
This research project aims to further develop this technique by demonstrating how effective it is when applied to finding the ground state energies for variations of the Heisenberg Hamiltonian on one dimensional chains and two dimensional lattices. Furthermore, the original CAFQA algorithm will be extended to calculate arbitrary energy states rather than solely ground state energies.