Fast-fowarding quantum dynamics with quantum Krylov subspace algorithms
POSTER
Abstract
In this talk, I will present a new method for fast-forwarding quantum dynamics simulations using quantum Krylov subspace algorithms. Our approach consists of a hybrid quantum classical algorithm that constructs a projected Schrodinger equation in a Krylov subspace, where the matrix elements are computed using the quantum computer and the Krylov-based fast-forwarding is performed on a classical computer. We show that this method is highly competitive to other quantum variational fast-forwarding techniques, requiring less resources overall for a wide variety of Hamiltonians relevant to nuclear physics, condensed matter physics, and quantum chemistry. We validate our approach through numerical experiments of various molecular systems, showing excellent recovery of ideal quantum dynamics beyond the coherence time of near-term quantum computers.
*This material is based upon work supported by Laboratory Directed Research and Development (LDRD) funding from Argonne National Laboratory, provided by the Director, Office of Science, of the U.S. Department of Energy under Contract No. DE-AC02-06CH11357. Use of the Center for Nanoscale Materials, an Office of Science user facility, was supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357.
Presenters
-
Cristian L Cortes
- Argonne National Laboratory
- QC Ware Corporation