Symmetric quantum joint measurements on multiple qubits

• URL: http://arxiv.org/abs/2503.08993v1
• Date: Wed, 12 Mar 2025 02:01:46 GMT
• Title: Symmetric quantum joint measurements on multiple qubits
• Authors: Dong Ding, Ying-Qiu He, Ting Gao, Feng-Li Yan,
• Abstract summary: We describe a method for constructing a symmetric joint measurement basis for three qubits.<n>We demonstrate the expected tetrahedral symmetry of the current measurement basis.<n>This architecture enables us to generalize the two-qubit symmetric joint measurement to an $n$-qubit version.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $n$-qubit version, preserving the tetrahedral or hexahedral symmetry.

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