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QI: Fachverband Quanteninformation

QI 22: Quantum Simulation

QI 22.5: Vortrag

Mittwoch, 12. März 2025, 15:30–15:45, HS IV

Optimising measurement of correlators for fermionic quantum simulators — •Ahana Ghoshal, Carlos de Gois, Kiara Hansenne, Otfried Guehne, and Hai-Chau Nguyen — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany

Simulating many-body fermionic systems on conventional quantum computers poses significant challenges due to the overheads associated with the encoding of fermionic statistics in qubits, leading to the proposal of native fermionic simulators as an alternative. This raises the question of characterising the state of a fermionic simulator, which often boils down to measuring certain overlapping sets of few-point correlators from the output of the quantum simulation. We present a systematic framework for optimising the measurement of two- and four-point correlators in fermionic simulators based on their native fermionic gates. This is obtained by developing a graph representation for the set of correlators to be measured, which is then overlaid by a graph describing the constraints from the fermionic gates. Optimising measurement settings is then mapped to graph theoretical problems, for which various algorithms can be applied. We illustrate our methods for the recently proposed fermionic simulators with various sets of two- and four-point correlators as examples.

Keywords: Fermionic simulators; two- and four-point correlators; Graph representation; Algorithm; Graph covering problem