“…Many works have been devoted to schemes for implementing and applying this spin-orbit coupling [2][3][4][5][6][7][8][9][10][11]. Beyond the intrinsic beauty of this subject, one may find interesting applications to quantum information tasks like optical communication [12,13], teleportation schemes [14][15][16][17][18][19][20], alignment free quantum cryptography [21][22][23], controlled gates for quantum computation [24,25], quantum simulations [26,27] and metrology [28][29][30]. Quite curiously, the presence of spin-orbit structures in an optical beam can be characterized by inequality criteria similar to those used to witness entanglement in quantum mechanics [31][32][33][34][35][36][37].…”