Efficient Verification of Entangled Measurements with Local States

• URL: http://arxiv.org/abs/2606.21355v1
• Date: Fri, 19 Jun 2026 11:55:21 GMT
• Title: Efficient Verification of Entangled Measurements with Local States
• Abstract summary: We develop a framework for quantum measurement verification using only local state preparations.<n>We prove that symmetry reduces locality constrained QMV to quantum state verification of a single basis state.<n>We derive explicit local protocols together with closed form verification operators, success probabilities, and sample complexities.
• Score: 41.58226483686176
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We develop a framework for quantum measurement verification (QMV) using only local state preparations. For locally transitive and irreducible projective measurements, we prove that symmetry reduces locality constrained QMV to quantum state verification of a single basis state, thereby reducing protocol design to the optimization of homogeneous verification operators. We apply the framework to generalized Bell measurements, single-parameter measurements on two qubits, elegant joint measurements, and stabilizer state induced measurements, and derive explicit local protocols together with closed form verification operators, success probabilities, and sample complexities. We further show that homogeneous QMV protocols can estimate measurement fidelity directly from observed passing frequencies.

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