arXiv subjects

I. D. Ivanovic

Publications and source records attributed to I. D. Ivanovic.

2 recordsLinked to original sources

arXiv2010

A Note on the Set of After-measurement States in Generalized Quantum Measurement

The sets of after-measurement states for standard and generalized quantum measurements are compared. It is shown that for a SIC-POVM generalized measurement, the ratio of the volume of the set of after-measurement states and the volume of the simplex generated by individual outcomes quickly tends to zero with increase of the number of dimensions. The volumes used are based on the Hilbert-Schmidt norm. Some consequences on actual realizations, having finite collections of systems are discussed.

quant-ph↗

arXiv2003

A Simple Set of Separable States in a Commutative Simplex

In this note a very crude but simple approximation to the set of separable states in an arbitrary simplex of commutative states is given using the fact that on the lines connecting the maximally mixed state and an arbitrary pure state the positivity of the partial transpose is both necessary and sufficient condition for separability of states. The lower limit to the volume of separable states in a simplex is slightly improved.

quant-ph↗