Effective method to estimate multidimensional Gaussian states

Driving non-Gaussian to Gaussian states with linear optics

We introduce a protocol that maps finite-dimensional pure input states onto approximately Gaussian states in an iterative procedure. This protocol can be used to distill highly entangled bipartite Gaussian states from a supply of weakly entangled pure Gaussian states. The entire procedure requires only the use of passive optical elements and photon detectors, which solely distinguish between th...

Adapting reservoir states to get Gaussian distributions

We present an online adaptation rule for reservoirs that is inspired by Intrinsic Plasiticity (IP). The IP rule maximizes the information content of the reservoir state by adapting it so that the distribution approximates a given target. Here we fix the variance of the target distribution, which results in a Gaussian distribution. We apply the rule to two tasks with quite different temporal and...

Entanglement Sharing: from Qubits to Gaussian States

It is a central trait of quantum information theory that there exist limitations to the free sharing of quantum correlations among multiple parties. Such monogamy constraints have been introduced in a landmark paper by Coffman, Kundu and Wootters, who derived a quantitative inequality expressing a trade-off between the couplewise and the genuine tripartite entanglement for states of three qubit...

E-Bayesian Method to Estimate Failure Rate∗

This paper develops a new method, named E-Bayesian estimation, to estimate reliability parameter. In the paper, the E-Bayesian estimation method of failure rate is derived for testing data from products with exponential distribution. Relations between E-Bayesian estimation and hierarchical Bayesian estimation are discussed. Finally, the new method is applied to a real testing data set, and as c...

Multidimensional Wick-itô Formula for Gaussian Processes