期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 67, 期 10, 页码 6606-6618出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2021.3086505
关键词
Protocols; Games; Upper bound; Quantum entanglement; Performance evaluation; Standards; Random variables; Quantum cryptography; quantum entanglement; quantum information theory; device-independence
资金
- Swiss National Science Foundation via the Postdoc.Mobility grant
- Multidisciplinary University Research Initiative (MURI) [FA9550-18-1-0161]
- Office of Naval Research (ONR) [N00014-17-1-3025]
- Center for New Scientists, Weizmann Institute of Science
- National Science Foundation (NSF) [PHY 1734006]
- Army Research Laboratory Center for Distributed Quantum Information (CDQI) program
The research focuses on entanglement in device-independent quantum key distribution (DIQKD) protocols and its role in protocol design, including the derivation of new upper bounds on key rates and the exploration of bound entangled states in DIQKD.
Device-independent quantum key distribution (DIQKD) is one of the most challenging tasks in quantum cryptography. The protocols and their security are based on the existence of Bell inequalities and the ability to violate them by measuring entangled states. We study the entanglement needed for DIQKD protocols in two different ways. Our first contribution is the derivation of upper bounds on the key rates of CHSH-based DIQKD protocols in terms of the violation of the inequality; this sets an upper limit on the possible DI key extraction rate from states with a given violation. Our upper bound improves on the previously known bound of Kaur et al. Our second contribution is the initiation of the study of the role of bound entangled states in DIQKD. We present a revised Peres conjecture stating that such states cannot be used as a resource for DIQKD. We give a first piece of evidence for the conjecture by showing that the bound entangled state found by Vertesi and Brunner, even though it can certify DI randomness, cannot be used to produce a key using protocols analogous to the well-studied CHSH-based DIQKD protocol.
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