Quantum Variational Learning of the Entanglement Hamiltonian.

Autor:	Kokail C; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria.; Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria., Sundar B; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria.; JILA, Department of Physics, University of Colorado, Boulder, Colorado 80309, USA., Zache TV; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria.; Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria., Elben A; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria.; Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria.; Institute for Quantum Information and Matter and Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA., Vermersch B; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria.; Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria.; Univ. Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France., Dalmonte M; The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy.; SISSA, via Bonomea 265, 34136 Trieste, Italy., van Bijnen R; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria.; Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria., Zoller P; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck A-6020, Austria.; Center for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria.
Jazyk:	angličtina
Zdroj:	Physical review letters [Phys Rev Lett] 2021 Oct 22; Vol. 127 (17), pp. 170501.
DOI:	10.1103/PhysRevLett.127.170501
Abstrakt:	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.
Databáze:	MEDLINE
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