Nano-photoluminescence of natural anyon molecules and topological quantum computation

Abstract The proposal of fault-tolerant quantum computations, which promise to dramatically improve the operation of quantum computers and to accelerate the development of the compact hardware for them, is based on topological quantum field theories, which rely on the existence in Nature of physical...

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Autores principales: Alexander M. Mintairov, Dmitrii V. Lebedev, Alexei S. Vlasov, Alexei O. Orlov, Gregory L. Snider, Steven A. Blundell
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Publicado: Nature Portfolio 2021
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spelling oai:doaj.org-article:8e3034d2b8ed42179018e774c3fe46ea2021-11-08T10:50:14ZNano-photoluminescence of natural anyon molecules and topological quantum computation10.1038/s41598-021-00859-62045-2322https://doaj.org/article/8e3034d2b8ed42179018e774c3fe46ea2021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-00859-6https://doaj.org/toc/2045-2322Abstract The proposal of fault-tolerant quantum computations, which promise to dramatically improve the operation of quantum computers and to accelerate the development of the compact hardware for them, is based on topological quantum field theories, which rely on the existence in Nature of physical systems described by a Lagrangian containing a non-Abelian (NA) topological term. These are solid-state systems having two-dimensional electrons, which are coupled to magnetic-flux-quanta vortexes, forming complex particles, known as anyons. Topological quantum computing (TQC) operations thus represent a physical realization of the mathematical operations involving NA representations of a braid group B n , generated by a set of n localized anyons, which can be braided and fused using a “tweezer” and controlled by a detector. For most of the potential TQC material systems known so far, which are 2D-electron–gas semiconductor structure at high magnetic field and a variety of hybrid superconductor/topological-material heterostructures, the realization of anyon localization versus tweezing and detecting meets serious obstacles, chief among which are the necessity of using current control, i.e., mobile particles, of the TQC operations and high density electron puddles (containing thousands of electrons) to generate a single vortex. Here we demonstrate a novel system, in which these obstacles can be overcome, and in which vortexes are generated by a single electron. This is a ~ 150 nm size many electron InP/GaInP2 self-organized quantum dot, in which molecules, consisting of a few localized anyons, are naturally formed and exist at zero external magnetic field. We used high-spatial-resolution scanning magneto-photoluminescence spectroscopy measurements of a set of the dots having five and six electrons, together with many-body quantum mechanical calculations to demonstrate spontaneous formation of the anyon magneto-electron particles (e ν ) having fractional charge ν = n/k, where n = 1–4 and k = 3–15 are the number of electrons and vortexes, respectively, arranged in molecular structures having a built-in (internal) magnetic field of 6–12 T. Using direct imaging of the molecular configurations we observed fusion and braiding of e ν -anyons under photo-excitation and revealed the possibility of using charge sensing for their control. Our investigations show that InP/GaInP2 anyon-molecule QDs, which have intrinsic transformations of localized e ν -anyons compatible with TQC operations and capable of being probed by charge sensing, are very promising for the realization of TQC.Alexander M. MintairovDmitrii V. LebedevAlexei S. VlasovAlexei O. OrlovGregory L. SniderSteven A. BlundellNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Alexander M. Mintairov
Dmitrii V. Lebedev
Alexei S. Vlasov
Alexei O. Orlov
Gregory L. Snider
Steven A. Blundell
Nano-photoluminescence of natural anyon molecules and topological quantum computation
description Abstract The proposal of fault-tolerant quantum computations, which promise to dramatically improve the operation of quantum computers and to accelerate the development of the compact hardware for them, is based on topological quantum field theories, which rely on the existence in Nature of physical systems described by a Lagrangian containing a non-Abelian (NA) topological term. These are solid-state systems having two-dimensional electrons, which are coupled to magnetic-flux-quanta vortexes, forming complex particles, known as anyons. Topological quantum computing (TQC) operations thus represent a physical realization of the mathematical operations involving NA representations of a braid group B n , generated by a set of n localized anyons, which can be braided and fused using a “tweezer” and controlled by a detector. For most of the potential TQC material systems known so far, which are 2D-electron–gas semiconductor structure at high magnetic field and a variety of hybrid superconductor/topological-material heterostructures, the realization of anyon localization versus tweezing and detecting meets serious obstacles, chief among which are the necessity of using current control, i.e., mobile particles, of the TQC operations and high density electron puddles (containing thousands of electrons) to generate a single vortex. Here we demonstrate a novel system, in which these obstacles can be overcome, and in which vortexes are generated by a single electron. This is a ~ 150 nm size many electron InP/GaInP2 self-organized quantum dot, in which molecules, consisting of a few localized anyons, are naturally formed and exist at zero external magnetic field. We used high-spatial-resolution scanning magneto-photoluminescence spectroscopy measurements of a set of the dots having five and six electrons, together with many-body quantum mechanical calculations to demonstrate spontaneous formation of the anyon magneto-electron particles (e ν ) having fractional charge ν = n/k, where n = 1–4 and k = 3–15 are the number of electrons and vortexes, respectively, arranged in molecular structures having a built-in (internal) magnetic field of 6–12 T. Using direct imaging of the molecular configurations we observed fusion and braiding of e ν -anyons under photo-excitation and revealed the possibility of using charge sensing for their control. Our investigations show that InP/GaInP2 anyon-molecule QDs, which have intrinsic transformations of localized e ν -anyons compatible with TQC operations and capable of being probed by charge sensing, are very promising for the realization of TQC.
format article
author Alexander M. Mintairov
Dmitrii V. Lebedev
Alexei S. Vlasov
Alexei O. Orlov
Gregory L. Snider
Steven A. Blundell
author_facet Alexander M. Mintairov
Dmitrii V. Lebedev
Alexei S. Vlasov
Alexei O. Orlov
Gregory L. Snider
Steven A. Blundell
author_sort Alexander M. Mintairov
title Nano-photoluminescence of natural anyon molecules and topological quantum computation
title_short Nano-photoluminescence of natural anyon molecules and topological quantum computation
title_full Nano-photoluminescence of natural anyon molecules and topological quantum computation
title_fullStr Nano-photoluminescence of natural anyon molecules and topological quantum computation
title_full_unstemmed Nano-photoluminescence of natural anyon molecules and topological quantum computation
title_sort nano-photoluminescence of natural anyon molecules and topological quantum computation
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/8e3034d2b8ed42179018e774c3fe46ea
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