Using quantum theory to simplify input–output processes
Responding to the environment is easier with quantum mechanics Can a quantum goldfish exhibit more complex behaviour than a classical dolphin? In complexity science, the complexity of an input-output process – a system that reacts differently when supplied with different environmental stimuli – can...
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Nature Portfolio
2017
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oai:doaj.org-article:1d03662fa8b2435988ed1aaa98030c992021-12-02T12:33:37ZUsing quantum theory to simplify input–output processes10.1038/s41534-016-0001-32056-6387https://doaj.org/article/1d03662fa8b2435988ed1aaa98030c992017-02-01T00:00:00Zhttps://doi.org/10.1038/s41534-016-0001-3https://doaj.org/toc/2056-6387Responding to the environment is easier with quantum mechanics Can a quantum goldfish exhibit more complex behaviour than a classical dolphin? In complexity science, the complexity of an input-output process – a system that reacts differently when supplied with different environmental stimuli – can be quantified by the minimal memory needed to reproduce the process’s observed behaviour. This reflects the intuition that a goldfish – that remembers very little – can only exhibit fairly simple input-output behaviour. Here we show how these ideas can radically change when generalized to the quantum domain. A quantum system may exhibit behaviour that appears considerably more complex than a classical system that has significantly more memory.Jayne ThompsonAndrew J. P. GarnerVlatko VedralMile GuNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 3, Iss 1, Pp 1-8 (2017) |
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Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 |
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Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Jayne Thompson Andrew J. P. Garner Vlatko Vedral Mile Gu Using quantum theory to simplify input–output processes |
description |
Responding to the environment is easier with quantum mechanics Can a quantum goldfish exhibit more complex behaviour than a classical dolphin? In complexity science, the complexity of an input-output process – a system that reacts differently when supplied with different environmental stimuli – can be quantified by the minimal memory needed to reproduce the process’s observed behaviour. This reflects the intuition that a goldfish – that remembers very little – can only exhibit fairly simple input-output behaviour. Here we show how these ideas can radically change when generalized to the quantum domain. A quantum system may exhibit behaviour that appears considerably more complex than a classical system that has significantly more memory. |
format |
article |
author |
Jayne Thompson Andrew J. P. Garner Vlatko Vedral Mile Gu |
author_facet |
Jayne Thompson Andrew J. P. Garner Vlatko Vedral Mile Gu |
author_sort |
Jayne Thompson |
title |
Using quantum theory to simplify input–output processes |
title_short |
Using quantum theory to simplify input–output processes |
title_full |
Using quantum theory to simplify input–output processes |
title_fullStr |
Using quantum theory to simplify input–output processes |
title_full_unstemmed |
Using quantum theory to simplify input–output processes |
title_sort |
using quantum theory to simplify input–output processes |
publisher |
Nature Portfolio |
publishDate |
2017 |
url |
https://doaj.org/article/1d03662fa8b2435988ed1aaa98030c99 |
work_keys_str_mv |
AT jaynethompson usingquantumtheorytosimplifyinputoutputprocesses AT andrewjpgarner usingquantumtheorytosimplifyinputoutputprocesses AT vlatkovedral usingquantumtheorytosimplifyinputoutputprocesses AT milegu usingquantumtheorytosimplifyinputoutputprocesses |
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1718393845546221568 |