Volume 125, Number 5, March 2019
|Number of page(s)||6|
|Published online||09 April 2019|
Monogamy of finite-dimensional entanglement induced by coherence
School of Physics, Dalian University of Technology - Dalian 116024, PRC
Received: 21 February 2019
Accepted: 19 March 2019
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.
PACS: 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.65.Ta – Foundations of quantum mechanics; measurement theory
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