期刊
NEW JOURNAL OF PHYSICS
卷 20, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aac484
关键词
quantum coherence; quantum entanglement; resource theories
资金
- Alexander von Humboldt-Foundation
- Bundesministerium fur Bildung und Forschung
- National Science Center in Poland [POLONEZUMO-2016/21/P/ST2/04054]
- European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant [665778]
The resource theory of quantum coherence studies the off-diagonal elements of a density matrix in a distinguished basis, whereas the resource theory of purity studies all deviations from the maximally mixed state. Weestablish a direct connection between the two resource theories, by identifying purity as the maximal coherence which is achievable by unitary operations. The states that saturate this maximum identify a universal family of maximally coherent mixed states. These states are optimal resources under maximally incoherent operations, and thus independent of the way coherence is quantified. For all distance-based coherence quantifiers the maximal coherence can be evaluated exactly, and is shown to coincide with the corresponding distance-based purity quantifier. We further show that purity bounds the maximal amount of entanglement and discord that can be generated by unitary operations, thus demonstrating that purity is the most elementary resource for quantum information processing.
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