Freudenthal triple systems by root system methods

Freudenthal triple classification of three-qubit entanglement

We show that the three-qubit entanglement classes: (0) Null, (1) Separable A-B-C, (2a) Biseparable A-BC, (2b) Biseparable B-CA, (2c) Biseparable C-AB, (3) W and (4) GHZ correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3 and 4 of a Freudenthal triple system defined over the Jordan algebra C⊕C⊕C. We also compute the corresponding SLOCC orbits. ∗[email protected] †duminda.dahanayake@i...

v 1 1 0 Fe b 19 95 Extended Superconformal Symmetry , Freudenthal Triple Systems and Gauged WZW Models ∗

We review the construction of extended ( N = 2 and N = 4 ) superconformal algebras over triple systems and the gauged WZW models invariant under them. The N = 2 superconformal algebras (SCA) realized over Freudenthal triple systems (FTS) admit extension to “maximal” N = 4 SCA’s with SU(2)× SU(2)× U(1) symmetry. A detailed study of the construction and classification of N = 2 and N = 4 SCA’s ove...

Special entangled quantum systems and the Freudenthal construction

We consider special quantum systems containing both distinguishable and identical constituents. It is shown that for these systems the Freudenthal construction based on cubic Jordan algebras naturally defines entanglement measures invariant under the group of stochastic local operations and classical communication (SLOCC). For this type of multipartite entanglement the SLOCC classes can be expl...

Solving large systems arising from fractional models by preconditioned methods

This study develops and analyzes preconditioned Krylov subspace methods to solve linear systems arising from discretization of the time-independent space-fractional models. First, we apply shifted Grunwald formulas to obtain a stable finite difference approximation to fractional advection-diffusion equations. Then, we employee two preconditioned iterative methods, namely, the preconditioned gen...

Embedding Steiner triple systems in hexagon triple systems