Monogamy of finite-dimensional entanglement induced by coherence

One fundamental feature of quantum entanglement is the monogamy which shows that the entanglement of two systems limits the ability of either system to entangle with a third one. Such an understanding is only well described in the qubit systems, but it remains an open question for high-dimensional q...

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Bibliographic Details
Published in:Europhysics letters 2019-03, Vol.125 (5), p.50001
Main Authors: Yu, Chang-shui, Li, Dong-mo, Zhou, Nan-nan
Format: Article
Language:English
Subjects:
03.65.Ta
03.65.Ud
03.67.Mn
Coherence
Inequalities
Quantum entanglement
Quantum phenomena
Qubits (quantum computing)
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Summary:One fundamental feature of quantum entanglement is the monogamy which shows that the entanglement of two systems limits the ability of either system to entangle with a third one. Such an understanding is only well described in the qubit systems, but it remains an open question for high-dimensional quantum systems. Here the relative entropy of entanglement and the negativity are respectively used to quantify the entanglement. Based on the resource theory of coherence, we found that the monogamy inequalities in arbitrarily finite-dimensional systems can be successfully established for the entanglement induced by quantum coherence. Moreover, the similar inequalities are also constructed for the distribution of quantum coherence.
ISSN:0295-5075
1286-4854
1286-4854
DOI:10.1209/0295-5075/125/50001