An adaptive method for quantum state fidelity estimation in bipartite higher dimensional systems is established. This method employs state verifier operators which are constructed by local POVM operators and adapted to the measurement statistics in the computational basis. Employing this method, the state verifier operators that stabilize Bell-type entangled states are constructed explicitly. Together with an error operator in the computational basis, one can estimate the lower and upper bounds on the state fidelity for Bell-type entangled states in few measurement configurations. These bounds can be tighter than the fidelity bounds derived in [Bavaresco et al., Nature Physics (2018), 14, 1032–1037], if one constructs more than one local POVM measurements additional to the measurement in the computational basis.

中文翻译：

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高维二部纠缠的自适应状态保真度估计

建立了二分高维系统中量子状态保真度估计的自适应方法。该方法采用状态验证算子，这些算子由本地 POVM 算子构建，并在计算基础上适应测量统计。使用这种方法，可以显式构造稳定贝尔型纠缠状态的状态验证器算子。与计算基础中的误差算子一起，可以在少数测量配置中估计贝尔型纠缠态的状态保真度的下限和上限。如果在计算基础中构建了不止一个局部 POVM 测量值，则这些边界可能比 [Bavaresco 等人, Nature Physics (2018), 14, 1032–1037] 中得出的保真度边界更严格。