Quantum Variational Learning of the Entanglement Hamiltonian
| Autor: | Kokail, Christian, Sundar, Bhuvanesh, Zache, Torsten V., Elben, Andreas, Vermersch, Benoît, Dalmonte, Marcello, van Bijnen, Rick, Zoller, Peter |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 127, 170501(2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.127.170501 |
| Popis: | Learning the structure of the entanglement Hamiltonian (EH) is central to characterizing quantum many-body states in analog quantum simulation. We describe a protocol where spatial deformations of the many-body Hamiltonian, physically realized on the quantum device, serve as an efficient variational ansatz for a local EH. Optimal variational parameters are determined in a feedback loop, involving quench dynamics with the deformed Hamiltonian as a quantum processing step, and classical optimization. We simulate the protocol for the ground state of Fermi-Hubbard models in quasi-1D geometries, finding excellent agreement of the EH with Bisognano-Wichmann predictions. Subsequent on-device spectroscopy enables a direct measurement of the entanglement spectrum, which we illustrate for a Fermi Hubbard model in a topological phase. Comment: 12 pages, 7 figures; updated to PRL version; Figure 4 updated, conclusions unchanged |
| Databáze: | arXiv |
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