Since masking of quantum information was introduced by Modi et al . in Modi K. et al ., Phys. Rev. Lett. , 120 (2018) 230501, many discussions on this topic have been published. In this paper, we explore the relationship between quantum multipartite maskers (QMMs) and quantum error-correcting codes (QECCs). We say that a subset Q of pure states of a system can be masked by an operator S into a multipartite system if all of the image states ##IMG## [http://ej.iop.org/images/0295-5075/131/3/30005/epl20214ieqn1.gif] {$S|\psi\rangle $} of states ##IMG## [http://ej.iop.org/images/0295-5075/131/3/30005/epl20214ieqn2.gif] {$|\psi\rangle $} in Q have the same marginal states on each subsystem. We call such an S a QMM of Q . By establishing a necessary and sufficient condition for a set Q to be masked by an operator, we prove that a linear operator is a...

中文翻译：

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量子多部分掩盖器与量子纠错码

自从Modi等人介绍了量子信息的掩盖。在Modi K.等人，Phys。牧师 ，120（2018）230501，有关此主题的许多讨论已发布。在本文中，我们探索了量子多部分掩盖器（QMM）与量子纠错码（QECC）之间的关系。我们说，如果所有图像状态均为## IMG ## [http://ej.iop.org/images/0295-5075，则操作员S可以将系统纯状态的子集Q掩盖为多部分系统。 /131/3/30005/epl20214ieqn1.gif] {$ S | \ psi \ rangle $}个国家/地区## IMG ## [http://ej.iop.org/images/0295-5075/131/3/30005 /epl20214ieqn2.gif] Q中的{$ | \ psi \ rangle $}在每个子系统上具有相同的边际状态。我们称这样的S为Q的QMM。通过建立一个要由运算符掩盖的集合Q的充要条件，我们证明线性运算符是...