Table 2 Extractable work in bits for the three permutations of roles in the protocol for extractable work-based inseparability evaluated using a W resource

From: Experimental extractable work-based multipartite separability criteria

\({\cal W}_1^W\)

\({\cal W}_2^W\)

\({\cal W}_3^W\)

0.4715 ± 0.0036

0.6625 ± 0.0050

0.5966 ± 0.0050

0.4715 ± 0.0036

0.3205 ± 0.0023

0.3282 ± 0.0027

  1. Note: The three columns are for the value of the extractable work achieved from the path-encoded qubit, the first polarization-encoded qubit, and the second polarization-encoded one, respectively. The first row refers to a tripartite entangled W state very close to an ideal |W〉 state. The fidelity between the experimental resource and the ideal state \(\left( {\left| {HH1} \right\rangle + \left| {HV0} \right\rangle + \left| {VH0} \right\rangle } \right)/\sqrt 3 \) is F = 0.823 ± 0.006. The second row refers to the same W configuration where, however, any coherence between path-encoded and polarization-encoded qubits is removed. Correspondingly, \({\cal W}_2^W\) and \({\cal W}_3^W\) are below the threshold for separability, showing that in the the corresponding configuration we only have bipartite entanglement
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