Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity

Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity

Abstract We prove the existence of a unitary transformation that enables two arbitrarily given Hamiltonians in the same Hilbert space to be transformed into one another. The result is straightforward yet, for example, it lays the foundation to implementing or mimicking dynamics with the most control...

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Main Authors: Lian-Ao Wu, Dvira Segal
Format: Article
Language:English
Published: Nature Publishing Group 2021-02-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-84289-4
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spelling doaj-e6e450c86b144c06bfaf88cda13e1ecc2021-03-11T12:26:23ZengNature Publishing GroupScientific Reports2045-23222021-02-011111510.1038/s41598-021-84289-4Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticityLian-Ao Wu0Dvira Segal1Department of Theoretical Physics and History of Science, The Basque Country University (EHU/UPV)Chemical Physics Theory Group, Department of Chemistry, and Centre for Quantum Information and Quantum Control, University of TorontoAbstract We prove the existence of a unitary transformation that enables two arbitrarily given Hamiltonians in the same Hilbert space to be transformed into one another. The result is straightforward yet, for example, it lays the foundation to implementing or mimicking dynamics with the most controllable Hamiltonian. As a promising application, this existence theorem allows for a rapidly evolving realization of adiabatic quantum computation by transforming a Hamiltonian where dynamics is in the adiabatic regime into a rapidly evolving one. We illustrate the theorem with examples.https://doi.org/10.1038/s41598-021-84289-4
collection DOAJ
language English
format Article
sources DOAJ
author Lian-Ao Wu
Dvira Segal
spellingShingle Lian-Ao Wu
Dvira Segal
Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
Scientific Reports
author_facet Lian-Ao Wu
Dvira Segal
author_sort Lian-Ao Wu
title Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
title_short Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
title_full Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
title_fullStr Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
title_full_unstemmed Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
title_sort hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
publisher Nature Publishing Group
series Scientific Reports
issn 2045-2322
publishDate 2021-02-01
description Abstract We prove the existence of a unitary transformation that enables two arbitrarily given Hamiltonians in the same Hilbert space to be transformed into one another. The result is straightforward yet, for example, it lays the foundation to implementing or mimicking dynamics with the most controllable Hamiltonian. As a promising application, this existence theorem allows for a rapidly evolving realization of adiabatic quantum computation by transforming a Hamiltonian where dynamics is in the adiabatic regime into a rapidly evolving one. We illustrate the theorem with examples.
url https://doi.org/10.1038/s41598-021-84289-4
work_keys_str_mv AT lianaowu hamiltoniantransformabilityfastadiabaticdynamicsandhiddenadiabaticity
AT dvirasegal hamiltoniantransformabilityfastadiabaticdynamicsandhiddenadiabaticity
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