Using quantum theory to simplify input–output processes
All natural things process and transform information. They receive environmental information as input, and transform it into appropriate output responses. Much of science is dedicated to building models of such systems-algorithmic abstractions of their input-output behavior that allow us to simulate...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer Nature
2017
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| _version_ | 1826303935677202432 |
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| author | Thompson, J Garner, A Vedral, V Gu, M |
| author_facet | Thompson, J Garner, A Vedral, V Gu, M |
| author_sort | Thompson, J |
| collection | OXFORD |
| description | All natural things process and transform information. They receive environmental information as input, and transform it into appropriate output responses. Much of science is dedicated to building models of such systems-algorithmic abstractions of their input-output behavior that allow us to simulate how such systems can behave in the future, conditioned on what has transpired in the past. Here, we show that classical models cannot avoid inefficiency-storing past information that is unnecessary for correct future simulation. We construct quantum models that mitigate this waste, whenever it is physically possible to do so. This suggests that the complexity of general input-output processes depends fundamentally on what sort of information theory we use to describe them. |
| first_indexed | 2024-03-07T06:10:14Z |
| format | Journal article |
| id | oxford-uuid:ef3a0de3-1f09-4d5d-805a-6d9a79db4c3c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:10:14Z |
| publishDate | 2017 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:ef3a0de3-1f09-4d5d-805a-6d9a79db4c3c2022-03-27T11:38:48ZUsing quantum theory to simplify input–output processesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ef3a0de3-1f09-4d5d-805a-6d9a79db4c3cEnglishSymplectic Elements at OxfordSpringer Nature2017Thompson, JGarner, AVedral, VGu, MAll natural things process and transform information. They receive environmental information as input, and transform it into appropriate output responses. Much of science is dedicated to building models of such systems-algorithmic abstractions of their input-output behavior that allow us to simulate how such systems can behave in the future, conditioned on what has transpired in the past. Here, we show that classical models cannot avoid inefficiency-storing past information that is unnecessary for correct future simulation. We construct quantum models that mitigate this waste, whenever it is physically possible to do so. This suggests that the complexity of general input-output processes depends fundamentally on what sort of information theory we use to describe them. |
| spellingShingle | Thompson, J Garner, A Vedral, V Gu, M Using quantum theory to simplify input–output processes |
| title | 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_short | Using quantum theory to simplify input–output processes |
| title_sort | using quantum theory to simplify input output processes |
| work_keys_str_mv | AT thompsonj usingquantumtheorytosimplifyinputoutputprocesses AT garnera usingquantumtheorytosimplifyinputoutputprocesses AT vedralv usingquantumtheorytosimplifyinputoutputprocesses AT gum usingquantumtheorytosimplifyinputoutputprocesses |