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

作     者：Fonseca, Amanda M. Rossi, Vinicius P. Baldijão, Roberto D. Selby, John H. Sainz, Ana Belén 

作者机构：Institute of Physics University of São Paulo São Paulo05508-090 Brazil International Centre for Theory of Quantum Technologies University of Gdańsk Gdansk80-309 Poland Theoretical Sciences Visiting Program Okinawa Institute of Science and Technology Graduate University Onna904-0495 Japan Basic Research Community for Physics e.V. Germany 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Depolarization 

摘      要：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 depolarisation, as well as a minimisation 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 depolarisation 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. © 2024, CC BY.