total polarisabilities at the clock transition frequency as shown in Fig. \[fig:starkshifts\]. Here we note that light polarised along the quantisation axis will give rise to a negative polarisability for the $F=13/2$, $m_F=-13/2$ state. This state is thus trapped by the same field creating the dressed lattice. We can couple from the $m_I=-9/2$ states in the dressed lattice via a Raman process directly into the $F=13/2$, $m_F=-13/2$ state of the $^3$P$_2$ manifold, making this state ideal for use as the ${|0x \rangle}$ state in readout operations. A qubit could be read out by choosing the detuning of a Raman coupling between the $|^3$P$_2,\, F=13/2, \, m_F=-13/2\rangle$ state (auxiliary state ${|0x \rangle}$) and the $|-\rangle$ dressed state with $m_I=-9/2$ (qubit state ${|0 \rangle}$) so that it is in resonance at only one site as a result of a gradient field shifting the energy of the $|^3$P$_2,\, F=13/2, \, m_F=-13/2\rangle$ state. Coupling of the $^3$P$_2$ level to a second qubit state with $m_I=-7/2$ would not occur as the $m_F=-11/2$ state is not trapped (if for a different species the equivalent state was trapped, then the large tensor shift would probably result in this transition being anyway out of resonance). The occupation of 