ONe-Way Deficit of SU(2) Invariant States

We calculate analytically the one-way deficit for systems consisting of spin-j and spin- 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 if j increases, while the one-way deficit can remain significantly large.