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QI: Fachverband Quanteninformation

QI 3: Quantum Simulation

QI 3.5: Vortrag

Montag, 9. März 2026, 16:00–16:15, BEY/0137

Effective Hamiltonians for Measurement Protocols in Quantum Circuits — •Manuel Freudig1, Davide Bincoletto2, Francesco Diotallevi1, Leander Reascos1, Mónica Benito1, and Jakob Kottmann21Institute of Physics, University of Augsburg, Augsburg, Germany — 2Institute for Computer Science, University of Augsburg, Augsburg, Germany

A significant drawback for the realization of Variational Quantum Eigensolvers (VQEs), is the overhead due to measurement repetitions. Addressing this bottleneck, an iterative measurement protocol, designed for molecular Hamiltonians, was introduced [1]. It relies on cheaply measuring commuting groups of operators, while the residual (non-commuting) elements are grouped in a different basis and then measured. Our work proposes an enhanced measurement strategy by integrating the iterative measurement protocol [1] with perturbative and non-perturbative techniques for the derivation of effective Hamiltonians [2,3]. This combination aims to further reduce measurement overhead and increase the accuracy of the approximated expectation value, providing a more viable path for practical VQE implementations.

[1] Bincoletto, D.; Kottmann, J. S.; arXiv:2504.03019. [2] Li, B.; Calarco, T.; Motzoi, F.; PRX Quantum 3, 030313. [3] Schrieffer, J. R.; Wolff, P. A.; Phys. Rev. 149, 491-492.

Keywords: Variational Quantum Eigensolvers; Molecular Hamiltonians; Ground State Problem; Measurement Protocol; Effective Hamiltonian

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