April 4-6

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Author: Ilon Joseph
Requested Type: Consider for Invited
Submitted: 2022-03-05 00:04:07

Co-authors: Ilon Joseph, Alessandro R. Castelli, Vasily I. Geyko, Frank R. Graziani, Stephen B. Libby, Jeffrey B. Parker, Max D. Porter, Yaniv J. Rosen, Yuan Shi, Jonathan L. DuBois

Contact Info:
Lawrence Livermore National Lab
San Mateo, CA   94402
United States

Abstract Text:
Quantum computing promises to deliver large gains in computational power that can potentially have a beneficial impact on a number of Fusion Energy Science (FES) application areas that rely on either intrinsically classical or intrinsically quantum calculations. We have been working to develop FES-relevant quantum algorithms for future error-corrected quantum computers and to implement FES-relevant quantum computations on present-day quantum hardware platforms. We have developed quantum algorithms that can: (1) simulate the Liouville equation [1], even for nonlinear non-Hamiltonian, e.g. dissipative, classical dynamics; (2) solve generalized eigenvalue problems common in plasma physics and MHD theory [2]; (3) efficiently simulate nonlinear wave-wave interactions [3]; and (4) efficiently explore chaotic quantum and classical dynamics [4]. In order to test emerging quantum hardware capabilities, we have demonstrated a number of these algorithms [3,4] on the IBM-Quantum Experience, the Rigetti Quantum Cloud Services platform, and the LLNL Quantum Design and Integration Testbed (QuDIT). In particular, the use of quantum optimal control techniques to enact arbitrary unitary gates on the QuDIT platform led to the first ever successful quantum simulation of nonlinear three-wave plasma interactions. The fidelity of the observed experimental results matches noise models that include decay and dephasing processes and highlights key differences between state-of-the-art approaches to quantum computing hardware platforms.

*LLNL-ABS-806061 was prepared by LLNL for U.S. DOE under Contract DE-AC52-07NA27344.

[1] I. Joseph, Phys. Rev. Research 2, 043102 (2020)
[2] J. B. Parker, I. Joseph, Phys. Rev. A 102, 022422 (2020),
[3] Y. Shi, A. R. Castelli, X. Wu, et al., Phys. Rev. A 103, 062608 (2021).
[4] M. D. Porter, I. Joseph, arXiv:2110.07767 (2021).