On the Generation of Random Ensembles of Qubits and Qutrits Computing Separability Probabilities for Fixed Rank States
1 A.Razmadze Mathematical Institute, Iv.Javakhishvili Tbilisi State University, Tbilisi, Georgia
2 Institute of Quantum Physics and Engineering Technologies, Georgian Technical University, Tbilisi, Georgia
3 National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), Moscow, Russia
4 Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia
Published online: 14 February 2018
The generation of random mixed states is discussed, aiming for the computation of probabilistic characteristics of composite finite dimensional quantum systems. In particular, we consider the generation of random Hilbert-Schmidt and Bures ensembles of qubit and qutrit pairs and compute the corresponding probabilities to find a separable state among the states of a fixed rank.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).