论文标题
私人随机中继器的限制
Limitations for private randomness repeaters
论文作者
论文摘要
加密协议通常基于两个主要资源：私人随机性和私钥。在本文中，我们在这两个资源之间发展了一种关系。首先，我们表明，任何包含完美，直接访问的私钥（私人状态）的状态是包含完美，直接访问，私人随机性（独立状态）的特定情况。然后，我们证明了对使用中间中继器站中量子网络中随机位的隐私的可能性的基本限制。更确切地说，在这种情况下，我们提供了重复随机性速率的上限，类似于私有钥匙中继器的速度。这对具有积极部分换位的状态有限。我们通过显示可分离的Werner状态的本地私有随机性和重复的私人随机性之间的差距，进一步证明了这种上限的力量。在经营类别的情况下，我们还为重复的随机性提供了一种限制，该随机性适用于任意状态。
Cryptographic protocols are often based on the two main resources: private randomness and private key. In this paper, we develop a relationship between these two resources. First, we show that any state containing perfect, directly accessible, private key (a private state) is a particular case of the state containing perfect, directly accessible, private randomness (an independent state). We then demonstrate a fundamental limitation on the possibility of transferring the privacy of random bits in quantum networks with an intermediate repeater station. More precisely, we provide an upper bound on the rate of repeated randomness in this scenario, similar to the one derived for private key repeaters. This bound holds for states with positive partial transposition. We further demonstrate the power of this upper bound by showing a gap between the localisable and the repeated private randomness for separable Werner states. In the case of restricted class of operations, we provide also a bound on repeated randomness which holds for arbitrary states.
