The propagation and scattering of electromagnetic waves in dielectric media is theoretical experimental interest a wide variety fields. An understanding observational results generally requires numerical solution Maxwell equations---usually implemented on conventional computers using sophisticated algorithms. In recent years, advances quantum information science the development have piqued curiosity about taking advantage these resources for an alternate approach to equations. This...

Electromagnetic waves are an inherent part of all plasmas—laboratory fusion plasmas or astrophysical plasmas. The conventional methods for studying properties electromagnetic rely on discretization Maxwell equations suitable implementing classical, present day, computers. traditional methodology is not efficient quantum computing implementation—a future computational source offering a tantalizing possibility enormous speed up and significant reduction in cost. This paper addresses two topics...

Using the Madelung transformation on a generalized scalar Gross-Pitaevski equation, nonlinear continuum fluid equations are derived for classical fluid. A unitary quantum lattice algorithm is then determined as second order discrete representation of this equation and simulations compared to those using dynamic techniques.

Motivated by the contemporary advances in quantum implementation of non-unitary operations, we propose a new dilation method based on biorthogonal representation operator, mapping it to an isomorphic unitary matrix orthonormal computational basis. The proposed excels implementing operators whose eigenvalues have absolute values exceeding one, when compared other and decomposition techniques. Unlike Linear Combination Unitaries (LCU) method, which becomes less efficient as number summands...

The propagation and scattering of electromagnetic waves in magnetized plasmas a state where global mode has been established or is turbulence, are theoretical experimental interest thermonuclear fusion research. Interpreting results, as well predicting plasma behavior requires the numerical solutions underlying physics, that is, solution Maxwell equations under various initial conditions and, circumstances, complex boundary conditions. Casting, coordinate free form exploits symmetries...

A Dyson map explicitly determines the appropriate basis of electromagnetic fields which yields a unitary representation Maxwell equations in an inhomogeneous medium. qubit lattice algorithm (QLA) is then developed perturbatively to solve this equations. QLA consists interleaved sequence collision operators (that entangle on lattice-site qubits) and streaming move entanglement throughout lattice). External potential are introduced handle gradients refractive indices, these typically...

A qubit lattice algorithm (QLA), which consists of a set interleaved unitary collision-streaming operators, is developed for electromagnetic wave propagation in tensor dielectric media. External potential operators are required to handle gradients the refractive indices, and these typically non-unitary but sparse. similar problem arises QLA Korteweg–de Vries equation, as operator that models KdV nonlinear term also non-unitary. Several QLAs presented here avoid need this by perturbing...

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 A Dyson map points to field qubit basis, but the standard lattice algorithm of interleaved collision-stream operators must augmented by some sparse non-unitary potential recover derivatives on refractive indices. The effect steepness these two dimensional scattering examined with simulations showing quite...

In dispersive media, dissipation appears in the Schr\"odinger representation of classical Maxwell equations as a sparse diagonal operator occupying an $r$-dimensional subspace. A first order Suzuki-Trotter approximation for evolution enables us to isolate non-unitary operators (associated with dissipation) from unitary lossless media). The can be implemented through qubit lattice algorithm (QLA) on $n$ qubits. However, non-unitary-dissipative part poses challenge how it should quantum...

Electromagnetic waves are an inherent part of all plasmas -- laboratory fusion or astrophysical plasmas. The conventional methods for studying properties electromagnetic rely on discretization Maxwell equations suitable implementing classical, present day, computers. traditional methodology is not efficient quantum computing implementation a future computational source offering tantalizing possibility enormous speed up and significant reduction in cost. This paper addresses two topics...

Quantum computers, through quantum entanglement and parallelization, offer an intriguing prospect of exponential speedup relative to classical computers for performing numerical simulations. Our interest is in the application information science plasma physics order develop algorithms which can implemented on computers. Concurrently, we want test these present conventional (classical) as large scale, error-correcting with long coherence times are not yet forthcoming. Even though constituents...

A reformulation of Maxwell equations for an inhomogeneous, anisotropic, passive and non-dispersive medium results in a quantum-like Dirac equation that admits unitary time evolution. In contrast to other approaches, there is no a-priori introduction the Riemann-Silberstein-Weber (RSW) vector but are considered their standard fields, with given constitutive relations. From electromagnetic conservation quantities pseudo-Hermitian dynamics found together Dyson map recovers full Hermicity...

$\bf{Abstract}$: A qubit lattice algorithm (QLA), which consists of a set interleaved unitary collision-streaming operators, is developed for electromagnetic wave propagation in tensor dielectric media. External potential operators are required to handle gradients the refractive indices, and these typically non-unitary. similar problem arises QLA Korteweg-de Vries equation, as operator that models KdV nonlinear term also Several QLAs presented here avoid need this non-unitary by perturbing...