Fidelity Estimation of Entangled Measurements with Local States

• DOI: 10.48550/arxiv.2312.13730
• Publication Date: 2023-01-01
• Authors: Zanqiu Shen; Kun Wang

We propose an efficient protocol to estimate the fidelity of $n$-qubit entangled measurement device, requiring only qubit state preparations and classical data post-processing. It works by measuring eigenstates Pauli operators, which are strategically selected according their importance weights collectively contributed all operators. rigorously analyze protocol's performance demonstrate that its sample complexity is uniquely determined number operators possessing non-zero expectation values with respect target measurement. Moreover, from a resource-theoretic perspective, we introduce stabilizer Rényi entropy quantum measurements as precise metric quantify inherent difficulty estimating fidelity.