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QI: Fachverband Quanteninformation

QI 8: Quantum Computing Theory I

QI 8.2: Vortrag

Montag, 10. März 2025, 17:30–17:45, HS IV

Tensor-Programmable Quantum Circuits for Solving Differential Equations — Pia Siegl^1,2, •Greta Sophie Reese^1,3, Tomohiro Hashizume¹, Nis-Luca van Hülst¹, and Dieter Jaksch^1,4 — ¹Institute for Quantum Physics, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany — ²Institute of Software Methods for Product Virtualization, German Aerospace Center (DLR), Zwickauerstraße 46, 01069 Dresden, Germany — ³The Hamburg Centre for Ultrafast Imaging, Hamburg, Germany — ⁴Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, UK

We present a quantum approach for solving partial differential equations, leveraging a versatile matrix product operator (MPO) representation. By incorporating mid-circuit measurements and a state-dependent norm correction, this method bypasses the limitations of unitary operators, enabling the direct implementation of a wide range of differential equations that describe both classical and quantum system dynamics.

Keywords: Quantum Computing; Variational Quantum Algorithm; Quantum Algorithm; Matrix Product Operators; Tensor Networks