Table 1 Four possible cases of fusion mechanism with corresponding probabilities. No Pauli spin blockade (PSB) implies a successful fusion of W states, whereas the presence of PSB implies either a recyclable case or a failure. Utilising charge sensor, absence of PSB implies a successful fusion.

From: Preparing Multipartite Entangled Spin Qubits via Pauli Spin Blockade

Input

Probability

PSB

Result

,

\(\frac{(n-1)(m-1)}{nm}\)

Yes

Recycle

,

\(\frac{(n-1)}{nm}\)

No

Success

,

\(\frac{(m-1)}{nm}\)

No

Success

,

\(\frac{1}{nm}\)

Yes

Failure