  The surface code cannot be used when qubits vanish during computation;
instead, a variant known as the topological cluster state is necessary. It has
a gate error threshold of $0.75% and only requires nearest-neighbor
interactions on a 2D array of qubits. Previous work on loss tolerance using
this code only considered qubits vanishing during measurement. We begin by also
including qubit loss during two-qubit gates and initialization, and then
additionally consider interaction errors that occur when neighbors attempt to
entangle with a qubit that isn't there. In doing so, we show that even our best
case scenario requires a loss rate below 1% in order to avoid considerable
space-time overhead.
