Elementary Thermal Operations
To what extent do thermodynamic resource theories capture physically relevant constraints? Inspired by quantum computation, we define a set of elementary thermodynamic gates that only act on 2 energy levels of a system at a time. We show that this theory is well reproduced by a Jaynes-Cummings inter...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2018-02-01
|
| Series: | Quantum |
| Online Access: | https://quantum-journal.org/q-2018-02-08-52/pdf/ |
| _version_ | 1818503108589780992 |
|---|---|
| author | Matteo Lostaglio Álvaro M. Alhambra Christopher Perry |
| author_facet | Matteo Lostaglio Álvaro M. Alhambra Christopher Perry |
| author_sort | Matteo Lostaglio |
| collection | DOAJ |
| description | To what extent do thermodynamic resource theories capture physically relevant constraints? Inspired by quantum computation, we define a set of elementary thermodynamic gates that only act on 2 energy levels of a system at a time. We show that this theory is well reproduced by a Jaynes-Cummings interaction in rotating wave approximation and draw a connection to standard descriptions of thermalisation. We then prove that elementary thermal operations present tighter constraints on the allowed transformations than thermal operations. Mathematically, this illustrates the failure at finite temperature of fundamental theorems by Birkhoff and Muirhead-Hardy-Littlewood-Polya concerning stochastic maps. Physically, this implies that stronger constraints than those imposed by single-shot quantities can be given if we tailor a thermodynamic resource theory to the relevant experimental scenario. We provide new tools to do so, including necessary and sufficient conditions for a given change of the population to be possible. As an example, we describe the resource theory of the Jaynes-Cummings model. Finally, we initiate an investigation into how our resource theories can be applied to Heat Bath Algorithmic Cooling protocols. |
| first_indexed | 2024-12-10T21:19:36Z |
| format | Article |
| id | doaj.art-aa8c4c04c4c84478a02cee8ec3867159 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-12-10T21:19:36Z |
| publishDate | 2018-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-aa8c4c04c4c84478a02cee8ec38671592022-12-22T01:33:11ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2018-02-0125210.22331/q-2018-02-08-5210.22331/q-2018-02-08-52Elementary Thermal OperationsMatteo LostaglioÁlvaro M. AlhambraChristopher PerryTo what extent do thermodynamic resource theories capture physically relevant constraints? Inspired by quantum computation, we define a set of elementary thermodynamic gates that only act on 2 energy levels of a system at a time. We show that this theory is well reproduced by a Jaynes-Cummings interaction in rotating wave approximation and draw a connection to standard descriptions of thermalisation. We then prove that elementary thermal operations present tighter constraints on the allowed transformations than thermal operations. Mathematically, this illustrates the failure at finite temperature of fundamental theorems by Birkhoff and Muirhead-Hardy-Littlewood-Polya concerning stochastic maps. Physically, this implies that stronger constraints than those imposed by single-shot quantities can be given if we tailor a thermodynamic resource theory to the relevant experimental scenario. We provide new tools to do so, including necessary and sufficient conditions for a given change of the population to be possible. As an example, we describe the resource theory of the Jaynes-Cummings model. Finally, we initiate an investigation into how our resource theories can be applied to Heat Bath Algorithmic Cooling protocols.https://quantum-journal.org/q-2018-02-08-52/pdf/ |
| spellingShingle | Matteo Lostaglio Álvaro M. Alhambra Christopher Perry Elementary Thermal Operations Quantum |
| title | Elementary Thermal Operations |
| title_full | Elementary Thermal Operations |
| title_fullStr | Elementary Thermal Operations |
| title_full_unstemmed | Elementary Thermal Operations |
| title_short | Elementary Thermal Operations |
| title_sort | elementary thermal operations |
| url | https://quantum-journal.org/q-2018-02-08-52/pdf/ |
| work_keys_str_mv | AT matteolostaglio elementarythermaloperations AT alvaromalhambra elementarythermaloperations AT christopherperry elementarythermaloperations |