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Simulating a ring-like Hubbard system with a quantum computer
- Source :
- Physical Review Research, 4 (1)
- Publication Year :
- 2022
- Publisher :
- ETH Zurich, 2022.
-
Abstract
- We develop a workflow to use current quantum computing hardware for solving quantum many-body problems, using the example of the fermionic Hubbard model. Concretely, we study a four-site Hubbard ring that exhibits a transition from a product state to an intrinsically interacting ground state as hopping amplitudes are changed. We locate this transition and solve for the ground-state energy with high quantitative accuracy using a variational quantum algorithm executed on an IBM quantum computer. Our results are enabled by a variational ansatz that takes full advantage of the maximal set of commuting Z(2) symmetries of the problem and a Lanczos-inspired error mitigation algorithm. They are a benchmark on the way to exploiting near term quantum simulators for quantum many-body problems.<br />Physical Review Research, 4 (1)<br />ISSN:2643-1564
- Subjects :
- Quantum Physics
Condensed Matter - Strongly Correlated Electrons
Strongly Correlated Electrons (cond-mat.str-el)
530 Physics
11476 Digital Society Initiative
General Earth and Planetary Sciences
FOS: Physical sciences
10192 Physics Institute
Computational Physics (physics.comp-ph)
Quantum Physics (quant-ph)
Physics - Computational Physics
3100 General Physics and Astronomy
General Environmental Science
Subjects
Details
- Language :
- English
- ISSN :
- 26431564
- Database :
- OpenAIRE
- Journal :
- Physical Review Research, 4 (1)
- Accession number :
- edsair.doi.dedup.....92444702c7c3d8b1cd575a58dd7a8ac6
- Full Text :
- https://doi.org/10.3929/ethz-b-000538583