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MiS Preprint
85/2014
One-way deficit of SU(2) invariant states
Yao-Kun Wang, Teng Ma, Shao-Ming Fei and Zhi-Xi Wang
Abstract
We calculate analytically the one-way deficit for systems consisting spin-$j$ and spin-$\frac{1}{2}$ subsystems with $SU(2)$ symmetry. Comparing our results with the quantum discord of $SU(2)$ invariant states, we show that the one-way deficit is equal to the quantum discord for half-integer $j$, and is larger than the quantum discord for integer $j$. Moreover, we also compare the one-way deficit with entanglement of formation. The quantum entanglement tends to zero as $j$ increases, while the one-way deficit can remain significantly large.