Phase-Sensitive Measurements on a Fermi-Hubbard Quantum Processor

• URL: http://arxiv.org/abs/2509.01637v1
• Date: Mon, 01 Sep 2025 17:30:41 GMT
• Title: Phase-Sensitive Measurements on a Fermi-Hubbard Quantum Processor
• Authors: Alberto R. Cavallar, Luis Escalera-Moreno, Titus Franz, Timon Hilker, J. Ignacio Cirac, Philipp M. Preiss, Benjamin F. Schiffer,
• Abstract summary: We analyze the algorithm for the Fermi-Hubbard model at half-filling and at finite doping.<n>We show that complex Loschmidt echoes can be efficiently obtained for large many-body states over a broad spectral range.
• Score: 0.08376229126363229
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: Fermionic quantum processors are a promising platform for quantum simulation of correlated fermionic matter. In this work, we study a hardware-efficient protocol for measuring complex expectation values of the time-evolution operator, commonly referred to as Loschmidt echoes, with fermions in an optical superlattice. We analyze the algorithm for the Fermi-Hubbard model at half-filling as well as at finite doping. The method relies on global quench dynamics and short imaginary time evolution, the latter being realized by architecture-tailored pulse sequences starting from a product state of plaquettes. Our numerical results show that complex Loschmidt echoes can be efficiently obtained for large many-body states over a broad spectral range. This allows one to measure spectral properties of the Fermi-Hubbard model, such as the local density of states, and paves the way for the study of finite-temperature properties in current fermionic quantum simulators.

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