A space–time tradeoff for implementing a function with master equation dynamics
Deterministic maps from initial to final states can always be modelled using the master equation formalism, provided additional “hidden” states are available. Here, the authors demonstrate a tradeoff between the required number of such states and the number of required, suitably defined “hidden time...
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Nature Portfolio
2019
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oai:doaj.org-article:7ec3bcf0a87d44bbaa43547c8d79fd322021-12-02T15:35:27ZA space–time tradeoff for implementing a function with master equation dynamics10.1038/s41467-019-09542-x2041-1723https://doaj.org/article/7ec3bcf0a87d44bbaa43547c8d79fd322019-04-01T00:00:00Zhttps://doi.org/10.1038/s41467-019-09542-xhttps://doaj.org/toc/2041-1723Deterministic maps from initial to final states can always be modelled using the master equation formalism, provided additional “hidden” states are available. Here, the authors demonstrate a tradeoff between the required number of such states and the number of required, suitably defined “hidden time steps”.David H. WolpertArtemy KolchinskyJeremy A. OwenNature PortfolioarticleScienceQENNature Communications, Vol 10, Iss 1, Pp 1-9 (2019) |
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Science Q David H. Wolpert Artemy Kolchinsky Jeremy A. Owen A space–time tradeoff for implementing a function with master equation dynamics |
description |
Deterministic maps from initial to final states can always be modelled using the master equation formalism, provided additional “hidden” states are available. Here, the authors demonstrate a tradeoff between the required number of such states and the number of required, suitably defined “hidden time steps”. |
format |
article |
author |
David H. Wolpert Artemy Kolchinsky Jeremy A. Owen |
author_facet |
David H. Wolpert Artemy Kolchinsky Jeremy A. Owen |
author_sort |
David H. Wolpert |
title |
A space–time tradeoff for implementing a function with master equation dynamics |
title_short |
A space–time tradeoff for implementing a function with master equation dynamics |
title_full |
A space–time tradeoff for implementing a function with master equation dynamics |
title_fullStr |
A space–time tradeoff for implementing a function with master equation dynamics |
title_full_unstemmed |
A space–time tradeoff for implementing a function with master equation dynamics |
title_sort |
space–time tradeoff for implementing a function with master equation dynamics |
publisher |
Nature Portfolio |
publishDate |
2019 |
url |
https://doaj.org/article/7ec3bcf0a87d44bbaa43547c8d79fd32 |
work_keys_str_mv |
AT davidhwolpert aspacetimetradeoffforimplementingafunctionwithmasterequationdynamics AT artemykolchinsky aspacetimetradeoffforimplementingafunctionwithmasterequationdynamics AT jeremyaowen aspacetimetradeoffforimplementingafunctionwithmasterequationdynamics AT davidhwolpert spacetimetradeoffforimplementingafunctionwithmasterequationdynamics AT artemykolchinsky spacetimetradeoffforimplementingafunctionwithmasterequationdynamics AT jeremyaowen spacetimetradeoffforimplementingafunctionwithmasterequationdynamics |
_version_ |
1718386542591868928 |