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Bounds for coherence of quantum superpositions in high dimension

Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of qu...

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Bibliographic Details
Published in:Scientific reports 2017-06, Vol.7 (1), p.4006-13, Article 4006
Main Authors: Yue, Qiu-Ling, Gao, Fei, Wen, Qiao-Yan, Zhang, Wei-Wei
Format: Article
Language:English
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Summary:Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of quantum superpositions in high dimension. We consider three most frequently used measures of coherence, i.e. the relative entropy of coherence, l 1 norm of coherence and robustness of coherence. For a quantum state (an arbitrary dimension) and its arbitrary decomposition, we give the upper and lower bounds for coherence of the superposition state in terms of the coherence of the states being superposed.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-017-03885-5