Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit

We present a circuit design composed of two Josephson junctions coupled by a nonreciprocal element, the gyrator, whose ground space is doubly degenerate. The ground states are approximate code words of the Gottesman-Kitaev-Preskill code. We determine the low-energy dynamics of the circuit by working...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Martin Rymarz, Stefano Bosco, Alessandro Ciani, David P. DiVincenzo
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/4af2a1148397427a972a2d53ce1c2586
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:4af2a1148397427a972a2d53ce1c2586
record_format	dspace
spelling	oai:doaj.org-article:4af2a1148397427a972a2d53ce1c25862021-12-02T14:07:09ZHardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit10.1103/PhysRevX.11.0110322160-3308https://doaj.org/article/4af2a1148397427a972a2d53ce1c25862021-02-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.011032http://doi.org/10.1103/PhysRevX.11.011032https://doaj.org/toc/2160-3308We present a circuit design composed of two Josephson junctions coupled by a nonreciprocal element, the gyrator, whose ground space is doubly degenerate. The ground states are approximate code words of the Gottesman-Kitaev-Preskill code. We determine the low-energy dynamics of the circuit by working out the equivalence of this system to the problem of a single electron in a crystal, confined to a two-dimensional plane, and subjected to a strong, homogeneous magnetic field. We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction. We also propose realistic design parameters for an experimental realization, and we describe possible protocols to perform logical one- and two-qubit gates, state preparation, and readout.Martin RymarzStefano BoscoAlessandro CianiDavid P. DiVincenzoAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 1, p 011032 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Martin Rymarz Stefano Bosco Alessandro Ciani David P. DiVincenzo Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit
description	We present a circuit design composed of two Josephson junctions coupled by a nonreciprocal element, the gyrator, whose ground space is doubly degenerate. The ground states are approximate code words of the Gottesman-Kitaev-Preskill code. We determine the low-energy dynamics of the circuit by working out the equivalence of this system to the problem of a single electron in a crystal, confined to a two-dimensional plane, and subjected to a strong, homogeneous magnetic field. We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction. We also propose realistic design parameters for an experimental realization, and we describe possible protocols to perform logical one- and two-qubit gates, state preparation, and readout.
format	article
author	Martin Rymarz Stefano Bosco Alessandro Ciani David P. DiVincenzo
author_facet	Martin Rymarz Stefano Bosco Alessandro Ciani David P. DiVincenzo
author_sort	Martin Rymarz
title	Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit
title_short	Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit
title_full	Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit
title_fullStr	Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit
title_full_unstemmed	Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit
title_sort	hardware-encoding grid states in a nonreciprocal superconducting circuit
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/4af2a1148397427a972a2d53ce1c2586
work_keys_str_mv	AT martinrymarz hardwareencodinggridstatesinanonreciprocalsuperconductingcircuit AT stefanobosco hardwareencodinggridstatesinanonreciprocalsuperconductingcircuit AT alessandrociani hardwareencodinggridstatesinanonreciprocalsuperconductingcircuit AT davidpdivincenzo hardwareencodinggridstatesinanonreciprocalsuperconductingcircuit
_version_	1718391960548409344

Hardware-Encoding Grid States in a Nonreciprocal Superconducting Circuit

Ejemplares similares