Thermodynamic resource theories, non-commutativity and maximum entropy principles
We discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different ‘currencies’. We then show how the maximum entropy and complete passivity approaches give di...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa617f |
| _version_ | 1827873521875812352 |
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| author | Matteo Lostaglio David Jennings Terry Rudolph |
| author_facet | Matteo Lostaglio David Jennings Terry Rudolph |
| author_sort | Matteo Lostaglio |
| collection | DOAJ |
| description | We discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different ‘currencies’. We then show how the maximum entropy and complete passivity approaches give different answers in the presence of multiple observables. We discuss how this seems to prevent current resource theories from fully capturing thermodynamic aspects of non-commutativity. |
| first_indexed | 2024-03-12T16:38:17Z |
| format | Article |
| id | doaj.art-2c15ca802d3843ac830a98c2f6cb3ddf |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:38:17Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-2c15ca802d3843ac830a98c2f6cb3ddf2023-08-08T14:37:19ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119404300810.1088/1367-2630/aa617fThermodynamic resource theories, non-commutativity and maximum entropy principlesMatteo Lostaglio0David Jennings1Terry Rudolph2Controlled Quantum Dynamics Theory Group, Imperial College London , Prince Consort Road, London SW7 2BW, United Kingdom; ICFO—Institut de Ciencies Fotoniques , The Barcelona Institute of Science and Technology, E-08860 Castelldefels, SpainControlled Quantum Dynamics Theory Group, Imperial College London , Prince Consort Road, London SW7 2BW, United KingdomControlled Quantum Dynamics Theory Group, Imperial College London , Prince Consort Road, London SW7 2BW, United KingdomWe discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different ‘currencies’. We then show how the maximum entropy and complete passivity approaches give different answers in the presence of multiple observables. We discuss how this seems to prevent current resource theories from fully capturing thermodynamic aspects of non-commutativity.https://doi.org/10.1088/1367-2630/aa617fquantum thermodynamicsnon-commutativityresource theoriesconservation lawsLandauer principle |
| spellingShingle | Matteo Lostaglio David Jennings Terry Rudolph Thermodynamic resource theories, non-commutativity and maximum entropy principles New Journal of Physics quantum thermodynamics non-commutativity resource theories conservation laws Landauer principle |
| title | Thermodynamic resource theories, non-commutativity and maximum entropy principles |
| title_full | Thermodynamic resource theories, non-commutativity and maximum entropy principles |
| title_fullStr | Thermodynamic resource theories, non-commutativity and maximum entropy principles |
| title_full_unstemmed | Thermodynamic resource theories, non-commutativity and maximum entropy principles |
| title_short | Thermodynamic resource theories, non-commutativity and maximum entropy principles |
| title_sort | thermodynamic resource theories non commutativity and maximum entropy principles |
| topic | quantum thermodynamics non-commutativity resource theories conservation laws Landauer principle |
| url | https://doi.org/10.1088/1367-2630/aa617f |
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