Robustness of coherence: an operational and observable measure of quantum coherence
Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it...
| Main Authors: | , , , , , |
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| Format: | Article |
| Published: |
American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/40793/ |
| _version_ | 1848796134644908032 |
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| author | Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo |
| author_facet | Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo |
| author_sort | Napoli, Carmine |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it can be recast as the expectation value of a coherence witness operator for any quantum state. The robustness of coherence is evaluated analytically on relevant classes of states, and an efficient semidefinite program that computes it on general states is given. An operational interpretation is finally provided: the robustness of coherence quantifies the advantage enabled by a quantum state in a phase discrimination task. |
| first_indexed | 2025-11-14T19:43:09Z |
| format | Article |
| id | nottingham-40793 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:09Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-407932020-05-04T17:47:00Z https://eprints.nottingham.ac.uk/40793/ Robustness of coherence: an operational and observable measure of quantum coherence Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it can be recast as the expectation value of a coherence witness operator for any quantum state. The robustness of coherence is evaluated analytically on relevant classes of states, and an efficient semidefinite program that computes it on general states is given. An operational interpretation is finally provided: the robustness of coherence quantifies the advantage enabled by a quantum state in a phase discrimination task. American Physical Society 2016-04-12 Article PeerReviewed Napoli, Carmine, Bromley, Thomas R., Cianciaruso, Marco, Piani, Marco, Johnston, Nathaniel and Adesso, Gerardo (2016) Robustness of coherence: an operational and observable measure of quantum coherence. Physical Review Letters, 116 . 150502/1-150502/6. ISSN 1079-7114 http://journals.aps.org/prl/pdf/10.1103/PhysRevLett.116.150502 doi:10.1103/PhysRevLett.116.150502 doi:10.1103/PhysRevLett.116.150502 |
| spellingShingle | Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo Robustness of coherence: an operational and observable measure of quantum coherence |
| title | Robustness of coherence: an operational and observable measure of quantum coherence |
| title_full | Robustness of coherence: an operational and observable measure of quantum coherence |
| title_fullStr | Robustness of coherence: an operational and observable measure of quantum coherence |
| title_full_unstemmed | Robustness of coherence: an operational and observable measure of quantum coherence |
| title_short | Robustness of coherence: an operational and observable measure of quantum coherence |
| title_sort | robustness of coherence: an operational and observable measure of quantum coherence |
| url | https://eprints.nottingham.ac.uk/40793/ https://eprints.nottingham.ac.uk/40793/ https://eprints.nottingham.ac.uk/40793/ |