Qubit Lattice Algorithm Simulations of Maxwell’s Equations for Scattering from Anisotropic Dielectric Objects
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Title |
Qubit Lattice Algorithm Simulations of Maxwell’s Equations for Scattering from Anisotropic Dielectric Objects
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Identifier |
https://doi.org/10.7910/DVN/JS6MBO
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Creator |
George Vahala, Min Soe, Linda Vahala, Abhay K. Ram, Efstratios Koukoutsis, Kyriakos Hizanidis
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Publisher |
Harvard Dataverse
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Description |
A Dyson map explicitly determines the appropriate basis of electromagnetic fields which yields a unitary representation of the Maxwell equations in an inhomogeneous medium. A qubit lattice algorithm (QLA) is then developed perturbatively to solve this representation of Maxwell equations. QLA consists of an interleaved unitary sequence of collision operators (that entangle on lattice-site qubits) and streaming operators (that move this entanglement throughout the lattice). External potential operators are introduced to handle gradients in the refractive indices, and these operators are typically non-unitary, but sparse matrices. By also interleaving the external potential operators with the unitary collide-stream operators one achieves a QLA which conserves energy to high accuracy. Some two dimensional simulations results are presented for the scattering of a one-dimensional (1D) pulse off a localized anisotropic dielectric object.
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Subject |
Physics
maxwell equations propagation of waves Quantum Computing Quantum Information Science Qubit lattice algorithm |
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Date |
2024-01-03
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