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- W4387543571 abstract "It is well known that Maxwell equations can be expressed in a unitary Schrodinger-Dirac representation for homogeneous media. However, difficulties arise when considering inhomogeneous media. A Dyson map points to a unitary field qubit basis, but the standard qubit lattice algorithm of interleaved unitary collision-stream operators must be augmented by some sparse non-unitary potential operators that recover the derivatives on the refractive indices. The effect of the steepness of these derivatives on two-dimensional scattering is examined with simulations showing quite complex wavefronts emitted due to transmissions/reflections within the dielectric objects. Maxwell equations are extended to handle dissipation using Kraus operators. Then, our theoretical algorithms are extended to these open quantum systems. A quantum circuit diagram is presented as well as estimates on the required number of quantum gates for implementation on a quantum computer." @default.
- W4387543571 created "2023-10-12" @default.
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- W4387543571 date "2023-08-29" @default.
- W4387543571 modified "2023-10-12" @default.
- W4387543571 title "Qubit Lattice Algorithms Based on the Schrodinger-Dirac Representation of Maxwell Equations and Their Extensions" @default.
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- W4387543571 doi "https://doi.org/10.5772/intechopen.112692" @default.
- W4387543571 hasPublicationYear "2023" @default.
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