Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits

Quantum computing and quantum simulation can be implemented by concatenation of one- and two-qubit gates and interactions. For most physical implementations, however, it may be advantageous to explore state components and interactions that depart from this universal paradigm and offer faster or more...

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Autores principales:	Mohammadsadegh Khazali, Klaus Mølmer
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/1c3ec472c3994bca95e0ccde3f2c596d
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spelling	oai:doaj.org-article:1c3ec472c3994bca95e0ccde3f2c596d2021-12-02T15:28:55ZFast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits10.1103/PhysRevX.10.0210542160-3308https://doaj.org/article/1c3ec472c3994bca95e0ccde3f2c596d2020-06-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.021054http://doi.org/10.1103/PhysRevX.10.021054https://doaj.org/toc/2160-3308Quantum computing and quantum simulation can be implemented by concatenation of one- and two-qubit gates and interactions. For most physical implementations, however, it may be advantageous to explore state components and interactions that depart from this universal paradigm and offer faster or more robust access to more advanced operations on the system. In this article, we show that adiabatic passage along the dark eigenstate of excitation exchange interactions can be used to implement fast multiqubit Toffoli (C_{k}-NOT) and fan-out (C-NOT^{k}) gates. This mechanism can be realized by simultaneous excitation of atoms to Rydberg levels, featuring resonant exchange interaction. Our theoretical estimates and numerical simulations show that these multiqubit Rydberg gates are possible with errors below 1% for up to 20 qubits. The excitation exchange mechanism is ubiquitous across experimental platforms, and we show that similar multiqubit gates can be implemented in superconducting circuits.Mohammadsadegh KhazaliKlaus MølmerAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 2, p 021054 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Mohammadsadegh Khazali Klaus Mølmer Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits
description	Quantum computing and quantum simulation can be implemented by concatenation of one- and two-qubit gates and interactions. For most physical implementations, however, it may be advantageous to explore state components and interactions that depart from this universal paradigm and offer faster or more robust access to more advanced operations on the system. In this article, we show that adiabatic passage along the dark eigenstate of excitation exchange interactions can be used to implement fast multiqubit Toffoli (C_{k}-NOT) and fan-out (C-NOT^{k}) gates. This mechanism can be realized by simultaneous excitation of atoms to Rydberg levels, featuring resonant exchange interaction. Our theoretical estimates and numerical simulations show that these multiqubit Rydberg gates are possible with errors below 1% for up to 20 qubits. The excitation exchange mechanism is ubiquitous across experimental platforms, and we show that similar multiqubit gates can be implemented in superconducting circuits.
format	article
author	Mohammadsadegh Khazali Klaus Mølmer
author_facet	Mohammadsadegh Khazali Klaus Mølmer
author_sort	Mohammadsadegh Khazali
title	Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits
title_short	Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits
title_full	Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits
title_fullStr	Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits
title_full_unstemmed	Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits
title_sort	fast multiqubit gates by adiabatic evolution in interacting excited-state manifolds of rydberg atoms and superconducting circuits
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/1c3ec472c3994bca95e0ccde3f2c596d
work_keys_str_mv	AT mohammadsadeghkhazali fastmultiqubitgatesbyadiabaticevolutionininteractingexcitedstatemanifoldsofrydbergatomsandsuperconductingcircuits AT klausmølmer fastmultiqubitgatesbyadiabaticevolutionininteractingexcitedstatemanifoldsofrydbergatomsandsuperconductingcircuits
_version_	1718387189574795264

Fast Multiqubit Gates by Adiabatic Evolution in Interacting Excited-State Manifolds of Rydberg Atoms and Superconducting Circuits

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