Determining quantum correlations in bipartite systems - from qubit to qutrit and beyond

24th International Conference on Integrable Systems and Quantum symmetries

Frydryszak, Andrzej^1 ; Jakóbczyk, Lech^1 ; Lugiewicz, Piotr^1

Institute of Theoretical Physics, University of Wroclaw, Poland^1

关键词: Bipartite systems;    Correlation matrix;    Diagonalizations;    Higher-dimensional;    Multipartite systems;    Orthogonal projectors;    Peres-Horodecki;    Quantum correlations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012016/pdf
DOI  :  10.1088/1742-6596/804/1/012016

来源: IOP

【 摘 要 】

We advocate the step change in properties of discrete d-level quantum systems, between d = 2 and d ≥ 3. Qubit systems, or multipartite systems containing qubit subsystem, are exceptional in their relative simplicity. One faces a step in complexity in valuating measures of quantum correlations for qutrits and then other higher dimensional qudits. There is a growing number of arguments leading to such conclusion: recently found no-go theorem for generalization of the Peres-Horodecki's PPT criterion [1], change in geometry of state spaces of qubit and higher degree qudits (the so called 'generalized Bloch ball' is not a ball anymore), restricted possibilities for diagonalization of correlation matrices for bipartite systems, more difficult way for handling the set of relevant families of orthogonal projectors.