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QI: Fachverband Quanteninformation

QI 3: Quantum Simulation

QI 3.8: Vortrag

Montag, 9. März 2026, 17:15–17:30, BEY/0137

Efficient Quantum and Classical Simulation of the Non-Uniform Wave Equation — •Kevin Lively, Vittorio Pagni, and Gonzalo Camacho — Deutsches Zentrum für Luft- und Raumfahrt, Quantum Computing Applications, Sankt Augustin

We present an efficient algorithm based on the construction of a unitary quantum circuit for simulating the non-uniform wave equation in one, two or three dimensions. We utilize the first-order-in-time-derivative form of the wave equation alongside Pauli four-vectors to embed and manipulate vector quantities in a language which translates naturally to quantum simulation. We exploit this to create an efficient quantum-inspired classical tensor-network algorithm to inject and propagate waveforms through inhomogeneous media far beyond the memory limitations of naive finite difference methods. We explore applications of this algorithm in real world data-sets of complex media.

Keywords: Wave Equation; Quantum Inspired; Matrix Product States; Partial Differential Equations; Tensor Networks