Characterizing coherence with quantum observables
We introduce a procedure based on quantum expectation values of measurement observables to characterize quantum coherence. Our measure allows one to quantify coherence without having to perform tomography of the quantum state and can be directly calculated from measurement expectation values. This d...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.013157 |
| _version_ | 1797211538221694976 |
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| author | Suman Mandal Marek Narozniak Chandrashekar Radhakrishnan Zhi-Qiang Jiao Xian-Min Jin Tim Byrnes |
| author_facet | Suman Mandal Marek Narozniak Chandrashekar Radhakrishnan Zhi-Qiang Jiao Xian-Min Jin Tim Byrnes |
| author_sort | Suman Mandal |
| collection | DOAJ |
| description | We introduce a procedure based on quantum expectation values of measurement observables to characterize quantum coherence. Our measure allows one to quantify coherence without having to perform tomography of the quantum state and can be directly calculated from measurement expectation values. This definition of coherence allows the decomposition into contributions corresponding to the nonclassical correlations between the subsystems and localized on each subsystem. The method can also be applied to cases where the full set of measurement operators is unavailable. An estimator using the truncated measurement operators can be used to obtain lower bound to the genuine value of coherence. We illustrate the method for several bipartite systems and show the singular behavior of the coherence measure in a spin-1 chain, characteristic of a quantum phase transition. |
| first_indexed | 2024-04-24T10:28:05Z |
| format | Article |
| id | doaj.art-757a18bdd6c4418f95c6052c7f121be5 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:28:05Z |
| publishDate | 2020-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-757a18bdd6c4418f95c6052c7f121be52024-04-12T16:49:52ZengAmerican Physical SocietyPhysical Review Research2643-15642020-02-012101315710.1103/PhysRevResearch.2.013157Characterizing coherence with quantum observablesSuman MandalMarek NarozniakChandrashekar RadhakrishnanZhi-Qiang JiaoXian-Min JinTim ByrnesWe introduce a procedure based on quantum expectation values of measurement observables to characterize quantum coherence. Our measure allows one to quantify coherence without having to perform tomography of the quantum state and can be directly calculated from measurement expectation values. This definition of coherence allows the decomposition into contributions corresponding to the nonclassical correlations between the subsystems and localized on each subsystem. The method can also be applied to cases where the full set of measurement operators is unavailable. An estimator using the truncated measurement operators can be used to obtain lower bound to the genuine value of coherence. We illustrate the method for several bipartite systems and show the singular behavior of the coherence measure in a spin-1 chain, characteristic of a quantum phase transition.http://doi.org/10.1103/PhysRevResearch.2.013157 |
| spellingShingle | Suman Mandal Marek Narozniak Chandrashekar Radhakrishnan Zhi-Qiang Jiao Xian-Min Jin Tim Byrnes Characterizing coherence with quantum observables Physical Review Research |
| title | Characterizing coherence with quantum observables |
| title_full | Characterizing coherence with quantum observables |
| title_fullStr | Characterizing coherence with quantum observables |
| title_full_unstemmed | Characterizing coherence with quantum observables |
| title_short | Characterizing coherence with quantum observables |
| title_sort | characterizing coherence with quantum observables |
| url | http://doi.org/10.1103/PhysRevResearch.2.013157 |
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