Phase-Sensitive Measurements on a Fermi-Hubbard Quantum Processor
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916005123457024 |
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| author | Cavallar, Alberto R. Escalera-Moreno, Luis Franz, Titus Hilker, Timon Cirac, J. Ignacio Preiss, Philipp M. Schiffer, Benjamin F. |
| author_facet | Cavallar, Alberto R. Escalera-Moreno, Luis Franz, Titus Hilker, Timon Cirac, J. Ignacio Preiss, Philipp M. Schiffer, Benjamin F. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01637 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase-Sensitive Measurements on a Fermi-Hubbard Quantum Processor Cavallar, Alberto R. Escalera-Moreno, Luis Franz, Titus Hilker, Timon Cirac, J. Ignacio Preiss, Philipp M. Schiffer, Benjamin F. Quantum Physics Quantum Gases Strongly Correlated Electrons 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. |
| title | Phase-Sensitive Measurements on a Fermi-Hubbard Quantum Processor |
| topic | Quantum Physics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.01637 |