Optimal Gaussian measurements for phase estimation in single-mode Gaussian metrology

Quantum parameter estimation using general single-mode Gaussian states

Phase estimation for thermal Gaussian states

We give the optimal bounds on the phase-estimation precision for mixed Gaussian states in the single-copy and many-copy regimes. Specifically, we focus on displaced thermal and squeezed thermal states. We find that while for displaced thermal states an increase in temperature reduces the estimation fidelity, for squeezed thermal states a larger temperature can enhance the estimation fidelity. T...

Estimation of Single-Gaussian and Gaussian Mixture Models for Pattern Recognition

Single-Gaussian and Gaussian-Mixture Models are utilized in various pattern recognition tasks. The model parameters are estimated usually via Maximum Likelihood Estimation (MLE) with respect to available training data. However, if only small amount of training data is available, the resulting model will not generalize well. Loosely speaking, classification performance given an unseen test set m...

Quantum discord for Gaussian states with non-Gaussian measurements

Paolo Giorda,1 Michele Allegra,1,2,3 and Matteo G. A. Paris4,5 1Institute for Scientific Interchange Foundation (ISI), I-10126 Torino, Italy 2Dipartimento di Fisica, Università di Torino, I-10125 Torino, Italy 3INFN, Sezione di Torino, I-10125 Torino, Italy 4Dipartimento di Fisica, Università degli Studi di Milano, I-20133 Milano, Italy 5CNISM, Unità di Milano, I-20133 Milano, Italy (Received 1...

The Rate of Entropy for Gaussian Processes

In this paper, we show that in order to obtain the Tsallis entropy rate for stochastic processes, we can use the limit of conditional entropy, as it was done for the case of Shannon and Renyi entropy rates. Using that we can obtain Tsallis entropy rate for stationary Gaussian processes. Finally, we derive the relation between Renyi, Shannon and Tsallis entropy rates for stationary Gaussian proc...