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Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices
Factoring a 2048-bit number using Shor’s algorithm, when accounting for error correction, reportedly requires 400,000 qubits. However, it is well known that there is yet much time before we will have this many qubits in the same local system. This is why we propose a protocol for distributed quantum...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9734188/ https://www.ncbi.nlm.nih.gov/pubmed/36494480 http://dx.doi.org/10.1038/s41598-022-25812-z |
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author | Tănăsescu, Andrei Constantinescu, David Popescu, Pantelimon George |
author_facet | Tănăsescu, Andrei Constantinescu, David Popescu, Pantelimon George |
author_sort | Tănăsescu, Andrei |
collection | PubMed |
description | Factoring a 2048-bit number using Shor’s algorithm, when accounting for error correction, reportedly requires 400,000 qubits. However, it is well known that there is yet much time before we will have this many qubits in the same local system. This is why we propose a protocol for distributed quantum computation applicable to small register devices, specifically for the distribution of controlled unitary gates, the key element in the construction of every quantum computation algorithm. We leverage quantum sharing of partial results to obtain a parallel processing scheme, allowing for the first time the quantum distribution of very large gates with thousands of inputs using only small register devices with tens of qubits. In this way, we improve all previous controlled unitary gate distribution approaches, obtaining surprising results. The impact is quantified for recent milestone hardware realizations of quantum processors. |
format | Online Article Text |
id | pubmed-9734188 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-97341882022-12-11 Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices Tănăsescu, Andrei Constantinescu, David Popescu, Pantelimon George Sci Rep Article Factoring a 2048-bit number using Shor’s algorithm, when accounting for error correction, reportedly requires 400,000 qubits. However, it is well known that there is yet much time before we will have this many qubits in the same local system. This is why we propose a protocol for distributed quantum computation applicable to small register devices, specifically for the distribution of controlled unitary gates, the key element in the construction of every quantum computation algorithm. We leverage quantum sharing of partial results to obtain a parallel processing scheme, allowing for the first time the quantum distribution of very large gates with thousands of inputs using only small register devices with tens of qubits. In this way, we improve all previous controlled unitary gate distribution approaches, obtaining surprising results. The impact is quantified for recent milestone hardware realizations of quantum processors. Nature Publishing Group UK 2022-12-09 /pmc/articles/PMC9734188/ /pubmed/36494480 http://dx.doi.org/10.1038/s41598-022-25812-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Tănăsescu, Andrei Constantinescu, David Popescu, Pantelimon George Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices |
title | Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices |
title_full | Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices |
title_fullStr | Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices |
title_full_unstemmed | Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices |
title_short | Distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices |
title_sort | distribution of controlled unitary quantum gates towards factoring large numbers on today’s small-register devices |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9734188/ https://www.ncbi.nlm.nih.gov/pubmed/36494480 http://dx.doi.org/10.1038/s41598-022-25812-z |
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