# Regensburg 2022 – wissenschaftliches Programm

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# QI: Fachverband Quanteninformation

## QI 4: Poster: Quantum Information

### QI 4.3: Poster

### Montag, 5. September 2022, 18:00–20:00, P2

**Quantum simulation of the transverse field Ising models** — •Sumeet Sumeet and Kai Phillip Schmidt — Friedrich-Alexander-Universität Erlangen-Nürnberg, Department of Physics, Staudtstraße 7, 91058 Erlangen, Germany

With the advancements in quantum technologies, it has become inevitable to investigate the potential existence of quantum advantages for quantum many-body systems. One of the most paradigmatic model is the transverse field Ising model (TFIM) that can be simulated on a quantum computer to compute properties such as the ground-state energy. This problem, when tackled on a classical computer, leads to an exponential surge in the cost of computation with increasing system size. Classical-quantum hybrid algorithms such as the Variational Quantum Eigensolver (VQE) algorithm, is considered reasonably good for obtaining the ground-state energy of quantum many-body systems in the current NISQ era. Here we explore various ansaetze, focusing mainly on the Hamiltonian variational ansatz, for calculating the ground-state energy of one-dimensional TFIMs. We devise strategies to compute the ground-state energy for relatively large spin systems leveraging the power of quantum computers. In addition to that, we explore the quantum advantage and access the resource requirement for a quantum computer to evaluate the properties of systems in difficult regions around the quantum phase transition, which is a computationally difficult problem for a classical computer. Further, we extend our considerations to explore geometrically frustrated TFIMs using quantum simulation.