High posterior density ellipsoids of quantum states

Quantum steering ellipsoids, extremal physical states and monogamy

Any two-qubit state can be faithfully represented by a steering ellipsoid inside the Bloch sphere, but not every ellipsoid inside the Bloch sphere corresponds to a two-qubit state. We give necessary and sufficient conditions for when the geometric data describe a physical state and investigate maximal volume ellipsoids lying on the physical-unphysical boundary. We derive monogamy relations for ...

Effects of Thymolphthalein on Thermo-Oxidative Stability of High Density Polyethylene in Melt and Solid States

The present work aimed to evaluate capability of a new molecular structure to stabilize polyethylene against thermal oxidation. Hence, effects of 3,3-bis(4-hydroxy-2-methyl-5-propan-2-ylphenyl)-2-benzofuran-1-one (thymolphthalein) on thermo-oxidative stability of high density polyethylene (HDPE) in both solid and melt states were investigated and compared with those of SONGNOX 1010, a comme...

Einstein-Podolsky-Rosen Steering and Quantum Steering Ellipsoids: Optimal Two-Qubit States and Projective Measurements

Density and Polarization Profiles of Dipolar Hard Ellipsoids Confined between Hard Walls: A Density Functional Theory Approach

The density and polarization profiles of the dipolar hard ellipsoids confined between hard walls are studied using the density functional theory (DFT). The Hyper-Netted Chain (HNC) approximation is used to write excess grand potential of the system with respect to the bulk value. The number density is expanded up to zero and first order in polarization to find the results. For the zero order in...

Quantum Hall States of High Symmetry

We identify some hidden symmetries of Chern-Simons theories, such as appear in the e ective theory for quantized Hall states. This allows us to determine which lling fractions admit spin-singlet quantum Hall states. Our results shed some light on states already observed at = 2=3, and transitions between them. We identify SU(2), or higher, symmetries of many additional states { including spinpol...