Random Private Quantum States

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The study of properties of randomly chosen quantum states has in recent years led to many insights into quantum entanglement. In this work, we study private quantum states from this point of view. Private quantum states are bipartite quantum states characterized by the property that carrying out simple local measurements yields a secret bit. This feature is shared by the maximally entangled pair of quantum bits, yet private quantum states are more general and can in their most extreme form be almost bound entangled. In this work, we study the entanglement properties of random private quantum states and show that they are hardly distinguishable from separable states and thus have low repeatable key, despite containing one bit of key. The technical tools we develop are centered around the concept of locally restricted measurements and include a new operator ordering, bounds on norms under tensoring with entangled states and continuity bounds for relative entropy measures. A full version of this paper is accessible at: http://arxiv.org/abs/1801.2861 [1].

Original languageEnglish
Title of host publication2018 IEEE International Symposium on Information Theory, ISIT 2018
Number of pages5
Publication date2018
ISBN (Print)9781538647806
Publication statusPublished - 2018
Event2018 IEEE International Symposium on Information Theory, ISIT 2018 - Vail, United States
Duration: 17 Jun 201822 Jun 2018


Conference2018 IEEE International Symposium on Information Theory, ISIT 2018
LandUnited States
SponsorHuawei, IEEE, IEEE InformationTheory Society, NSF, Qualcomm

ID: 203521266