Reconstructing Hamiltonians from Correlations and Entanglement
J. Alexander Jacoby, J. B. Marston
TL;DR
This paper explores two general methods for reconstructing Hamiltonians of quantum systems from experimental data, specifically using correlation functions and entanglement spectra, with tests on quantum spin chains.
Contribution
It introduces two novel, broadly applicable techniques for Hamiltonian reconstruction based on observable data, extending beyond spin chains.
Findings
Both methods successfully reconstruct Hamiltonians from simulated data.
The correlation-based method effectively captures local interactions.
The entanglement spectrum method provides insights into global quantum properties.
Abstract
We investigate two methods to reconstruct Hamiltonians of quantum matter, using a quantum spin chain to test them. The first method uses correlation functions and the second method uses entanglement spectra. The two methods are not specific to spin chains, and may find wider applicability to quantum matter that is sufficiently well characterized by experiment.
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Taxonomy
TopicsQuantum many-body systems · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture