Fundamental limitations on the device-independent quantum conference key agreement

• URL: http://arxiv.org/abs/2111.02467v2
• Date: Thu, 12 Jan 2023 18:37:58 GMT
• Title: Fundamental limitations on the device-independent quantum conference key agreement
• Authors: Karol Horodecki and Marek Winczewski and Siddhartha Das
• Abstract summary: We study the rate of a key secure against a quantum adversary in the device-independent conference key agreement (DI-CKA) scenario. We show that the gap between the DI-CKA rate and the device-dependent rate is inherited from the bipartite gap between device-independent and device-dependent key rates.
• Score: 3.3399953831968334
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide several general upper bounds on the rate of a key secure against a quantum adversary in the device-independent conference key agreement (DI-CKA) scenario. They include bounds by reduced entanglement measures and those based on multipartite secrecy monotones such as a multipartite squashed entanglement-based measure, which we refer to as reduced c-squashed entanglement. We compare the latter bound with the known lower bound for the protocol of conference key distillation based on the parity Clauser-Horne-Shimony-Holt game. We also show that the gap between the DI-CKA rate and the device-dependent rate is inherited from the bipartite gap between device-independent and device-dependent key rates, giving examples that exhibit the strict gap.

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