Compressed Secret Key Agreement:Maximizing Multivariate Mutual Information per Bit

Compressed Secret Key Agreement: Maximizing Multivariate Mutual Information per Bit

The multiterminal secret key agreement problem by public discussion is formulated with an additional source compression step where, prior to the public discussion phase, users independently compress their private sources to filter out strongly correlated components in order to generate a common secret key. The objective is to maximize the achievable key rate as a function of the joint entropy o...

Quantum Key Distribution Based On Generating More Than One Secret Bit Per Shared EPR Pair

Given a shared EPR pair, two cooperative parties can obtain one bit of shared secret key by separately measuring the pair along the same basis. Apparently, the Holevo bound [1] suggests that they cannot obtain more than one secret bit per shared EPR pair. Here we show that they can do so by independently putting each of their EPR pairs in a Hilbert subspace which is unknown to the eavesdropper....

Information-Theoretic Secret Key Agreement

Multivariate Copula Spatial Dependency in One Bit Compressed Sensing

In this letter, the problem of sparse signal reconstruction from one bit compressed sensing measurements is investigated. To solve the problem, a variational Bayes framework with a new statistical multivariate model is used. The dependency of the wavelet decomposition coefficients is modeled with a multivariate Gaussian copula. This model can separate marginal structure of coefficients from the...

Distributions Attaining Secret Key at a Rate of the Conditional Mutual Information

In this paper we consider the problem of extracting secret key from an eavesdropped source pXYZ at a rate given by the conditional mutual information. We investigate this question under three different scenarios: (i) Alice (X) and Bob (Y) are unable to communicate but share common randomness with the eavesdropper Eve (Z), (ii) Alice and Bob are allowed one-way public communication, and (iii) Al...