Accessible bounds for general quantum resources
The recent development of general quantum resource theories has given a sound basis for the quantification of useful quantum effects. Nevertheless, the evaluation of a resource measure can be highly non-trivial, involving an optimisation that is often intractable analytically or intensive numericall...
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| Format: | Article |
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IOP Publishing
2018
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| Online Access: | https://eprints.nottingham.ac.uk/52337/ |
| _version_ | 1848798704164667392 |
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| author | Bromley, Thomas R. Cianciaruso, Marco Vourekas, Sofoklis Regula, Bartosz Adesso, Gerardo |
| author_facet | Bromley, Thomas R. Cianciaruso, Marco Vourekas, Sofoklis Regula, Bartosz Adesso, Gerardo |
| author_sort | Bromley, Thomas R. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The recent development of general quantum resource theories has given a sound basis for the quantification of useful quantum effects. Nevertheless, the evaluation of a resource measure can be highly non-trivial, involving an optimisation that is often intractable analytically or intensive numerically. In this paper, we describe a general framework that provides quantitative lower bounds to any resource quantifier that satisfies the essential property of monotonicity under the corresponding set of free operations. Our framework relies on projecting all quantum states onto a restricted subset using a fixed resource non-increasing operation. The resources of the resultant family can then be evaluated using a simplified optimisation, with the result providing lower bounds on the resource contents of any state. This approach also reduces the experimental overhead, requiring only the relevant statistics of the restricted family of states. We illustrate the application of our framework by focusing on the resource of multiqubit entanglement and outline applications to other quantum resources. |
| first_indexed | 2025-11-14T20:24:00Z |
| format | Article |
| id | nottingham-52337 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:24:00Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-523372020-05-04T19:44:45Z https://eprints.nottingham.ac.uk/52337/ Accessible bounds for general quantum resources Bromley, Thomas R. Cianciaruso, Marco Vourekas, Sofoklis Regula, Bartosz Adesso, Gerardo The recent development of general quantum resource theories has given a sound basis for the quantification of useful quantum effects. Nevertheless, the evaluation of a resource measure can be highly non-trivial, involving an optimisation that is often intractable analytically or intensive numerically. In this paper, we describe a general framework that provides quantitative lower bounds to any resource quantifier that satisfies the essential property of monotonicity under the corresponding set of free operations. Our framework relies on projecting all quantum states onto a restricted subset using a fixed resource non-increasing operation. The resources of the resultant family can then be evaluated using a simplified optimisation, with the result providing lower bounds on the resource contents of any state. This approach also reduces the experimental overhead, requiring only the relevant statistics of the restricted family of states. We illustrate the application of our framework by focusing on the resource of multiqubit entanglement and outline applications to other quantum resources. IOP Publishing 2018-07-02 Article PeerReviewed Bromley, Thomas R., Cianciaruso, Marco, Vourekas, Sofoklis, Regula, Bartosz and Adesso, Gerardo (2018) Accessible bounds for general quantum resources. Journal of Physics A: Mathematical and Theoretical, 51 (32). p. 325303. ISSN 1751-8121 quantum resource theories entanglement robustness http://iopscience.iop.org/article/10.1088/1751-8121/aacb4a doi:10.1088/1751-8121/aacb4a doi:10.1088/1751-8121/aacb4a |
| spellingShingle | quantum resource theories entanglement robustness Bromley, Thomas R. Cianciaruso, Marco Vourekas, Sofoklis Regula, Bartosz Adesso, Gerardo Accessible bounds for general quantum resources |
| title | Accessible bounds for general quantum resources |
| title_full | Accessible bounds for general quantum resources |
| title_fullStr | Accessible bounds for general quantum resources |
| title_full_unstemmed | Accessible bounds for general quantum resources |
| title_short | Accessible bounds for general quantum resources |
| title_sort | accessible bounds for general quantum resources |
| topic | quantum resource theories entanglement robustness |
| url | https://eprints.nottingham.ac.uk/52337/ https://eprints.nottingham.ac.uk/52337/ https://eprints.nottingham.ac.uk/52337/ |