Passivity and practical work extraction using Gaussian operations
Quantum states that can yield work in a cyclical Hamiltonian process form one of the primary resources in the context of quantum thermodynamics. Conversely, states whose average energy cannot be lowered by unitary transformations are called passive. However, while work may be extracted from non-pass...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/11/113028 |
| _version_ | 1797750928948854784 |
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| author | Eric G Brown Nicolai Friis Marcus Huber |
| author_facet | Eric G Brown Nicolai Friis Marcus Huber |
| author_sort | Eric G Brown |
| collection | DOAJ |
| description | Quantum states that can yield work in a cyclical Hamiltonian process form one of the primary resources in the context of quantum thermodynamics. Conversely, states whose average energy cannot be lowered by unitary transformations are called passive. However, while work may be extracted from non-passive states using arbitrary unitaries, the latter may be hard to realize in practice. It is therefore pertinent to consider the passivity of states under restricted classes of operations that can be feasibly implemented. Here, we ask how restrictive the class of Gaussian unitaries is for the task of work extraction. We investigate the notion of Gaussian passivity, that is, we present necessary and sufficient criteria identifying all states whose energy cannot be lowered by Gaussian unitaries. For all other states we give a prescription for the Gaussian operations that extract the maximal amount of energy. Finally, we show that the gap between passivity and Gaussian passivity is maximal, i.e., Gaussian-passive states may still have a maximal amount of energy that is extractable by arbitrary unitaries, even under entropy constraints. |
| first_indexed | 2024-03-12T16:39:58Z |
| format | Article |
| id | doaj.art-daec2736c1554f7c89260b780ce10b62 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:39:58Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-daec2736c1554f7c89260b780ce10b622023-08-08T14:35:11ZengIOP PublishingNew Journal of Physics1367-26302016-01-01181111302810.1088/1367-2630/18/11/113028Passivity and practical work extraction using Gaussian operationsEric G Brown0Nicolai Friis1Marcus Huber2ICFO—Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, E-08860 Castelldefels (Barcelona), SpainInstitute for Theoretical Physics, University of Innsbruck , Technikerstraße 21a, A-6020 Innsbruck, AustriaICFO—Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, E-08860 Castelldefels (Barcelona), Spain; Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria; Group of Applied Physics, University of Geneva , 1211 Geneva 4, Switzerland; Departament de Física, Universitat Autònoma de Barcelona , E-08193 Bellaterra, SpainQuantum states that can yield work in a cyclical Hamiltonian process form one of the primary resources in the context of quantum thermodynamics. Conversely, states whose average energy cannot be lowered by unitary transformations are called passive. However, while work may be extracted from non-passive states using arbitrary unitaries, the latter may be hard to realize in practice. It is therefore pertinent to consider the passivity of states under restricted classes of operations that can be feasibly implemented. Here, we ask how restrictive the class of Gaussian unitaries is for the task of work extraction. We investigate the notion of Gaussian passivity, that is, we present necessary and sufficient criteria identifying all states whose energy cannot be lowered by Gaussian unitaries. For all other states we give a prescription for the Gaussian operations that extract the maximal amount of energy. Finally, we show that the gap between passivity and Gaussian passivity is maximal, i.e., Gaussian-passive states may still have a maximal amount of energy that is extractable by arbitrary unitaries, even under entropy constraints.https://doi.org/10.1088/1367-2630/18/11/113028quantum thermodynamicspassivityGaussian operations |
| spellingShingle | Eric G Brown Nicolai Friis Marcus Huber Passivity and practical work extraction using Gaussian operations New Journal of Physics quantum thermodynamics passivity Gaussian operations |
| title | Passivity and practical work extraction using Gaussian operations |
| title_full | Passivity and practical work extraction using Gaussian operations |
| title_fullStr | Passivity and practical work extraction using Gaussian operations |
| title_full_unstemmed | Passivity and practical work extraction using Gaussian operations |
| title_short | Passivity and practical work extraction using Gaussian operations |
| title_sort | passivity and practical work extraction using gaussian operations |
| topic | quantum thermodynamics passivity Gaussian operations |
| url | https://doi.org/10.1088/1367-2630/18/11/113028 |
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