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Article: Polynomial measure of coherence
Title | Polynomial measure of coherence |
---|---|
Authors | |
Keywords | coherence convex roof polynomial measure resource framework |
Issue Date | 2017 |
Citation | New Journal of Physics, 2017, v. 19, n. 12, article no. 123033 How to Cite? |
Abstract | Coherence, the superposition of orthogonal quantum states, is indispensable in various quantum processes. Inspired by the polynomial invariant for classifying and quantifying entanglement, we first define polynomial coherence measure and systematically investigate its properties. Except for the qubit case, we show that there is no polynomial coherence measure satisfying the criterion that its value takes zero if and only if for incoherent states. Then, we release this strict criterion and obtain a necessary condition for polynomial coherence measure. Furthermore, we give a typical example of polynomial coherence measure for pure states and extend it to mixed states via a convex-roof construction. Analytical formula of our convex-roof polynomial coherence measure is obtained for symmetric states which are invariant under arbitrary basis permutation. Consequently, for general mixed states, we give a lower bound of our coherence measure. |
Persistent Identifier | http://hdl.handle.net/10722/315280 |
ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 1.090 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zhou, You | - |
dc.contributor.author | Zhao, Qi | - |
dc.contributor.author | Yuan, Xiao | - |
dc.contributor.author | Ma, Xiongfeng | - |
dc.date.accessioned | 2022-08-05T10:18:18Z | - |
dc.date.available | 2022-08-05T10:18:18Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | New Journal of Physics, 2017, v. 19, n. 12, article no. 123033 | - |
dc.identifier.issn | 1367-2630 | - |
dc.identifier.uri | http://hdl.handle.net/10722/315280 | - |
dc.description.abstract | Coherence, the superposition of orthogonal quantum states, is indispensable in various quantum processes. Inspired by the polynomial invariant for classifying and quantifying entanglement, we first define polynomial coherence measure and systematically investigate its properties. Except for the qubit case, we show that there is no polynomial coherence measure satisfying the criterion that its value takes zero if and only if for incoherent states. Then, we release this strict criterion and obtain a necessary condition for polynomial coherence measure. Furthermore, we give a typical example of polynomial coherence measure for pure states and extend it to mixed states via a convex-roof construction. Analytical formula of our convex-roof polynomial coherence measure is obtained for symmetric states which are invariant under arbitrary basis permutation. Consequently, for general mixed states, we give a lower bound of our coherence measure. | - |
dc.language | eng | - |
dc.relation.ispartof | New Journal of Physics | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | coherence | - |
dc.subject | convex roof | - |
dc.subject | polynomial measure | - |
dc.subject | resource framework | - |
dc.title | Polynomial measure of coherence | - |
dc.type | Article | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1088/1367-2630/aa91fa | - |
dc.identifier.scopus | eid_2-s2.0-85039772178 | - |
dc.identifier.volume | 19 | - |
dc.identifier.issue | 12 | - |
dc.identifier.spage | article no. 123033 | - |
dc.identifier.epage | article no. 123033 | - |
dc.identifier.isi | WOS:000418158900003 | - |