2025年2月13日，波兰格但斯克大学Ana Belén Sainz课题组在《物理评论A》杂志发表论文，报道了不同噪声类型下情境相关性的稳健性，作为奇偶性无关复用任务的量化指标。

据了解，广义情境（Generalized contextuality）是非经典性的概念，它为无数量子任务提供了支持，其中一个著名的例子是在量子信道中压缩经典信息的两方信息处理任务，即奇偶性无关复用（POM）任务。成功率是该任务的可靠度的标准量词，而基于可靠性的量词同样具有操作动机，并且具有已知的一般属性。

在这项工作中，该研究组利用分析和数值工具，来估计不同类型噪声下POM场景中情境性的重要性。研究人员得出的结论是，在3比1的情况下，情境对去极化的适应性，以及情境对所有基础的去极化的适应性的最小化，是该方案的非经典优势的良好量词。

此外，研究团队还获得了在任何n-to-1 POM场景中，情境去极化的稳定性与成功率之间的一般关系，并展示了如何以主题来约束该任务中编码的比特数。

附：英文原文

Title: Robustness of contextuality under different types of noise as quantifiers for parity-oblivious multiplexing tasks

Author: Amanda M. Fonseca, Vinicius P. Rossi, Roberto D. Baldijo, John H. Selby, Ana Belén Sainz

Issue&Volume: 2025/02/13

Abstract: Generalized contextuality is the notion of nonclassicality powering up a myriad of quantum tasks, among which is the celebrated case of a two-party information processing task where classical information is compressed in a quantum channel, the parity-oblivious multiplexing (POM) task. The success rate is the standard quantifier of resourcefulness for this task, while robustness-based quantifiers are as operationally motivated and have known general properties. In this work we leverage analytical and numerical tools to estimate robustness of contextuality in POM scenarios under different types of noise. We conclude that for the 3-to-1 case, robustness of contextuality to depolarization as well as a minimization of robustness of contextuality to dephasing over all bases are good quantifiers for the nonclassical advantage of this scenario. Moreover, we obtain a general relation between robustness of contextuality to depolarization and the success rate in any n-to-1 POM scenario and show how it can be used to bound the number of bits encoded in this task.

DOI: 10.1103/PhysRevA.111.022217

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.111.022217