Fig. 3: Experimental results for the complete QIM of the arbitrary qubit.

a The 16 initial states selected on the Bloch sphere, for implementing the QIM experiment, are mapped to the “Map” representation for clarity. b For the initial state \(\left\vert H\right\rangle\), QIM result is 4-qubit GHZ state. We show the four-photon coincidence counts in \(\{\left\vert H\right\rangle ,\left\vert V\right\rangle \}\) basis and the expectation values of \({M}_{\theta }^{\otimes 4}={(\cos \theta {\sigma }_{x}+\sin \theta {\sigma }_{y})}^{\otimes 4}\) obtained by the measurement in the basis of \(\frac{1}{\sqrt{2}}(\left\vert H\right\rangle \pm {e}^{i\theta }\left\vert V\right\rangle )\), where θ = kπ/4 (k = 0, 1, 2, 3). The error bar indicates 1 standard deviation (obtained from the Poissonian statistics of the detected four-photon counts). c The reduced density matrix of the qubit carrying the initial quantum information at the different stages of the QIM process: before QIM (initial), passing through the first CNOT gate (partially masked), and after QIM (masked).