Table 2. Inseparability of cluster states.

N	I	II	III	IV	Average
2	0.39				0.39
3	0.49	0.70			0.59
4	0.79	0.67	0.84		0.76
5	0.79	0.67	1.10	1.18	0.93

For each N-mode cluster state, the N−1 inseparability conditions given in equations (8),(9),(10),(11) must be satisfied. The partial violation for N=5 means that the state is not fully inseparable, and hence not a cluster state.

Uncertainty is ±0.01 in all cases.