Symmetric quantum joint measurements on multiple qubits
arXiv:2503.08993 · doi:10.1103/PhysRevA.111.052450
Abstract
We investigate the generalization of symmetric quantum joint measurements on multiple qubits. We first describe a method for constructing a symmetric joint measurement basis for three qubits by utilizing single-qubit states corresponding to the four vertices of a tetrahedron on the Bloch sphere. We demonstrate the expected tetrahedral symmetry of the current measurement basis and discuss its application in a trilocal star-shaped network. This architecture enables us to generalize the two-qubit symmetric joint measurement to an -qubit version, preserving the tetrahedral or hexahedral symmetry.
10 page, 3 figures
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