Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session D58: Tensor Networks and Hybrid Quantum Algorithms
3:00 PM–5:48 PM,
Monday, March 6, 2023
Room: Room 302
Sponsoring
Unit:
DQI
Chair: Sarah Sheldon, IBM Quantum
Abstract: D58.00004 : Mapping multidimensional chemical dynamics problems to a family of hybrid quantum and classical computing environments*
3:36 PM–3:48 PM
Presenter:
Anurag Dwivedi
(Indiana University Bloomington)
Authors:
Anurag Dwivedi
(Indiana University Bloomington)
Miguel Angel Lopez-Ruiz
(Indiana University)
Debadrita Saha
(Indiana University)
Philip Richerme
(Indiana University Bloomington)
Srinivasan S Iyengar
(Indiana Univ - Bloomington)
With 2n dimensional exponential Hilbert space for n qubit system, quantum computers are seen as having the potential to solve exponential scaling chemical dynamics problems. However, currently available NISQ computers still hinder progress due to low qubit counts and low-fidelity operations. One way to mitigate this issue is to use hybrid computing by pre-processing the problem on a classical computer before mapping it to a quantum computer.
In the same direction, our algorithm decomposes the multidimensional unitary operator and wavefunction into independent, parallel streams of one-dimensional propagators and wavefunctions using Tensor Networks such that an effective Hamiltonian for each dimension can be derived from it. Each one-dimensional system can be mapped to the spin-lattice quantum simulator, where the former determines the governing parameters needed to operate the quantum simulator. These effective one-dimensional subsystems can then be propagated simultaneously and efficiently on the quantum simulator.
*The research is supported by the U.S. National Science Foundation under award OMA-1936353.
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