Measurement-induced nonlocality (MIN), a quantum correlation measure for the bipartite system, is an indicator of global effects due to locally invariant von Neumann projective measurements. It is well known fact that the correlation measures based on Hilbert-Schmidt norm are not credible measure in capturing nonlocal attributes of a quantum state. In this article, to remedy the local ancilla problem of Hilbert-Schmidt norm based MIN, we propose a new form of MIN-based on affinity. This quantity satisfies all criteria of a bonafide measure of quantum correlation measure. For an arbitrary pure state, it is shown that affinity based MIN equals to other forms of geometric versions of correlation measure. We obtain an upper bound of this measure for m \times n-dimensional arbitrary mixed state. We obtain a closed formula of the proposed version of MIN for 2 \times n dimensional (qubit qudit) mixed state. We apply these results on two-qubit mixed states such as Werner, isotropic and Bell diagonal state. To illustrate the robustness of affinity-based measure against noise, we study the dynamics of MIN under generalized amplitude damping channel.

中文翻译：

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基于亲和力的测量引起的非局域性

测量引起的非定域性 (MIN) 是二分系统的量子相关性测量，是由于局部不变的冯诺依曼投影测量引起的全局效应的指标。众所周知，基于 Hilbert-Schmidt 范数的相关度量在捕获量子态的非局部属性时不是可信的度量。在本文中，为了解决基于 Hilbert-Schmidt 范数的 MIN 的局部辅助问题，我们提出了一种新的基于亲和力的 MIN 形式。该数量满足量子相关度量的真实度量的所有标准。对于任意纯状态，表明基于亲和力的 MIN 等于其他形式的相关性度量的几何版本。对于 m\times n 维任意混合状态，我们获得了该度量的上限。我们为 2\times n 维（qubit qudit）混合状态获得了 MIN 的建议版本的封闭公式。我们将这些结果应用于两个量子比特混合状态，例如 Werner、各向同性和贝尔对角线状态。为了说明基于亲和力的措施对噪声的鲁棒性，我们研究了广义振幅阻尼通道下 MIN 的动态。