Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems

We present an optimal protocol for encoding an unknown qubit state into a multiqubit Greenberger-Horne-Zeilinger-like state and, consequently, transferring quantum information in large systems exhibiting power-law (1/r^{α}) interactions. For all power-law exponents α between d and 2d+1, where d is t...

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Autores principales:	Minh C. Tran, Andrew Y. Guo, Abhinav Deshpande, Andrew Lucas, Alexey V. Gorshkov
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/75f9c02660024f53bd99f24e2c079476
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spelling	oai:doaj.org-article:75f9c02660024f53bd99f24e2c0794762021-12-02T15:31:55ZOptimal State Transfer and Entanglement Generation in Power-Law Interacting Systems10.1103/PhysRevX.11.0310162160-3308https://doaj.org/article/75f9c02660024f53bd99f24e2c0794762021-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031016http://doi.org/10.1103/PhysRevX.11.031016https://doaj.org/toc/2160-3308We present an optimal protocol for encoding an unknown qubit state into a multiqubit Greenberger-Horne-Zeilinger-like state and, consequently, transferring quantum information in large systems exhibiting power-law (1/r^{α}) interactions. For all power-law exponents α between d and 2d+1, where d is the dimension of the system, the protocol yields a polynomial speed-up for α>2d and a superpolynomial speed-up for α≤2d, compared to the state of the art. For all α>d, the protocol saturates the Lieb-Robinson bounds (up to subpolynomial corrections), thereby establishing the optimality of the protocol and the tightness of the bounds in this regime. The protocol has a wide range of applications, including in quantum sensing, quantum computing, and preparation of topologically ordered states. In addition, the protocol provides a lower bound on the gate count in digital simulations of power-law interacting systems.Minh C. TranAndrew Y. GuoAbhinav DeshpandeAndrew LucasAlexey V. GorshkovAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031016 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Minh C. Tran Andrew Y. Guo Abhinav Deshpande Andrew Lucas Alexey V. Gorshkov Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems
description	We present an optimal protocol for encoding an unknown qubit state into a multiqubit Greenberger-Horne-Zeilinger-like state and, consequently, transferring quantum information in large systems exhibiting power-law (1/r^{α}) interactions. For all power-law exponents α between d and 2d+1, where d is the dimension of the system, the protocol yields a polynomial speed-up for α>2d and a superpolynomial speed-up for α≤2d, compared to the state of the art. For all α>d, the protocol saturates the Lieb-Robinson bounds (up to subpolynomial corrections), thereby establishing the optimality of the protocol and the tightness of the bounds in this regime. The protocol has a wide range of applications, including in quantum sensing, quantum computing, and preparation of topologically ordered states. In addition, the protocol provides a lower bound on the gate count in digital simulations of power-law interacting systems.
format	article
author	Minh C. Tran Andrew Y. Guo Abhinav Deshpande Andrew Lucas Alexey V. Gorshkov
author_facet	Minh C. Tran Andrew Y. Guo Abhinav Deshpande Andrew Lucas Alexey V. Gorshkov
author_sort	Minh C. Tran
title	Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems
title_short	Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems
title_full	Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems
title_fullStr	Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems
title_full_unstemmed	Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems
title_sort	optimal state transfer and entanglement generation in power-law interacting systems
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/75f9c02660024f53bd99f24e2c079476
work_keys_str_mv	AT minhctran optimalstatetransferandentanglementgenerationinpowerlawinteractingsystems AT andrewyguo optimalstatetransferandentanglementgenerationinpowerlawinteractingsystems AT abhinavdeshpande optimalstatetransferandentanglementgenerationinpowerlawinteractingsystems AT andrewlucas optimalstatetransferandentanglementgenerationinpowerlawinteractingsystems AT alexeyvgorshkov optimalstatetransferandentanglementgenerationinpowerlawinteractingsystems
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Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems

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