Robust Encoding of a Qubit in a Molecule

We construct quantum error-correcting codes that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of rotational states of a rigid body. These codes, which protect against both drift in the body’s orientation and small changes in its angular momentum, may be well suited...

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Main Authors:	Victor V. Albert, Jacob P. Covey, John Preskill
Format:	article
Language:	EN
Published:	American Physical Society 2020
Subjects:	Physics QC1-999
Online Access:	https://doaj.org/article/e3a165cb401f4eb3b8df89f7a2a573d1
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spelling	oai:doaj.org-article:e3a165cb401f4eb3b8df89f7a2a573d12021-12-02T11:25:42ZRobust Encoding of a Qubit in a Molecule10.1103/PhysRevX.10.0310502160-3308https://doaj.org/article/e3a165cb401f4eb3b8df89f7a2a573d12020-09-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.031050http://doi.org/10.1103/PhysRevX.10.031050https://doaj.org/toc/2160-3308We construct quantum error-correcting codes that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of rotational states of a rigid body. These codes, which protect against both drift in the body’s orientation and small changes in its angular momentum, may be well suited for robust storage and coherent processing of quantum information using rotational states of a polyatomic molecule. Extensions of such codes to rigid bodies with a symmetry axis are compatible with rotational states of diatomic molecules as well as nuclear states of molecules and atoms. We also describe codes associated with general non-Abelian groups and develop orthogonality relations for coset spaces, laying the groundwork for quantum information processing with exotic configuration spaces.Victor V. AlbertJacob P. CoveyJohn PreskillAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 3, p 031050 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Victor V. Albert Jacob P. Covey John Preskill Robust Encoding of a Qubit in a Molecule
description	We construct quantum error-correcting codes that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of rotational states of a rigid body. These codes, which protect against both drift in the body’s orientation and small changes in its angular momentum, may be well suited for robust storage and coherent processing of quantum information using rotational states of a polyatomic molecule. Extensions of such codes to rigid bodies with a symmetry axis are compatible with rotational states of diatomic molecules as well as nuclear states of molecules and atoms. We also describe codes associated with general non-Abelian groups and develop orthogonality relations for coset spaces, laying the groundwork for quantum information processing with exotic configuration spaces.
format	article
author	Victor V. Albert Jacob P. Covey John Preskill
author_facet	Victor V. Albert Jacob P. Covey John Preskill
author_sort	Victor V. Albert
title	Robust Encoding of a Qubit in a Molecule
title_short	Robust Encoding of a Qubit in a Molecule
title_full	Robust Encoding of a Qubit in a Molecule
title_fullStr	Robust Encoding of a Qubit in a Molecule
title_full_unstemmed	Robust Encoding of a Qubit in a Molecule
title_sort	robust encoding of a qubit in a molecule
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/e3a165cb401f4eb3b8df89f7a2a573d1
work_keys_str_mv	AT victorvalbert robustencodingofaqubitinamolecule AT jacobpcovey robustencodingofaqubitinamolecule AT johnpreskill robustencodingofaqubitinamolecule
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Robust Encoding of a Qubit in a Molecule

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