Abstract Details
Abstracts
Author: George Vahala
Requested Type: Poster
Submitted: 2023-03-31 12:50:12
Co-authors: Min Soe, Linda Vahala, Abhay K. Ram, Ekstratios Koukoutsis, Kyriakos Hizanidis
Contact Info:
William & Mary
1464 Lake Christopher Drive
Williamsburg, VA 23187
USA
Abstract Text:
Quantum algorithms can play a very important part in the solution of some plasma problems – not only in solving these problems on a quantum architecture, but also in suggesting improved algorithms that are exceptionally parallelized on classical supercomputers.
It is readily shown that the use of the fields (E, H) cannot lead to a unitary representation of electromagnetic scattering from an inhomogeneous medium. A Dyson map is determined, however, that will yield a unitary representation for scattering off anisotropic dielectric objects.
Identifying these fields components act as a qubit basis, we determine a sequence of non-commuting unitary collision and streaming operators, which together with an external potential operator in each spatial dimension, will recover the corresponding Maxwell equations to second order. Since the problems we are addressing are detailed initial value evolution, these simulations must await quantum error correcting qubits along with long coherence times. Thus the non-unitarity of the very sparse external potentials is not a significant hurdle since these potentials can be represented by a linear combination of unitary operators which can have accurate representation on a quantum computer.
Here we present time evolution of 2D scattering of a 1D pulse from localized dielectric cones or cylinders. It is shown that the total electromagnetic energy is accurately conserved. Moreover, while our qubit lattice algorithm (QLA) requires only 6 qubits/lattice site and recovers the Faraday-Ampere Maxwell equations, the required electromagnetic fields are generated in the scattering that recover the Gauss’ laws of Maxwell equations. Current research is to develop QLAs that will be fully unitary.
• work supported by DoE and EUROfusion consortium.
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