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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Autores principales:	Lian-Ao Wu, Dvira Segal
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/e6e450c86b144c06bfaf88cda13e1ecc
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spelling	oai:doaj.org-article:e6e450c86b144c06bfaf88cda13e1ecc2021-12-02T13:30:12ZHamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity10.1038/s41598-021-84289-42045-2322https://doaj.org/article/e6e450c86b144c06bfaf88cda13e1ecc2021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84289-4https://doaj.org/toc/2045-2322Abstract 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.Lian-Ao WuDvira SegalNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-5 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Lian-Ao Wu Dvira Segal Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity
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.
format	article
author	Lian-Ao Wu Dvira Segal
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 Portfolio
publishDate	2021
url	https://doaj.org/article/e6e450c86b144c06bfaf88cda13e1ecc
work_keys_str_mv	AT lianaowu hamiltoniantransformabilityfastadiabaticdynamicsandhiddenadiabaticity AT dvirasegal hamiltoniantransformabilityfastadiabaticdynamicsandhiddenadiabaticity
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Hamiltonian transformability, fast adiabatic dynamics and hidden adiabaticity

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