Table 1 Extractable work in bits for the three permutations of roles in the protocol for extractable work-based inseparability evaluated using a GHZ-Cluster resource

From: Experimental extractable work-based multipartite separability criteria

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

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

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

0.798 ± 0.006

0.779 ± 0.005

0.795 ± 0.004

0.799 ± 0.006

0.304 ± 0.003

0.305 ± 0.003

  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 GHZ-Cluster state whose fidelity with the ideal resource (|HH0〉 − |VV0〉 + |HV1〉 + |VV1〉)/2 is found to be F = 0.851 ± 0.008. The second row refers to the same resource where any coherence between path and polarization qubit is removed. Correspondingly, \({\cal W}_2^{GHZ}\) and \({\cal W}_3^{GHZ}\) are below the threshold for separability, showing that showing that in the corresponding configuration we only have bipartite entanglement
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