Catalysts open up new reaction pathways that can speed up chemical reactions while not
consuming the catalyst. A similar phenomenon has been discovered in quantum information …

In 1835, Jacob Berzelius observed a common feature among several chemical reactions:
they all required an additional substance, which remained unchanged in the process. He …

Many fields of science investigate states and processes as resources. Chemistry,
thermodynamics, Shannon's theory of communication channels, and the theory of quantum …

Entanglement catalysis is a phenomenon that usually enhances the conversion probability
in the transformation of entangled states by the temporary involvement of another entangled …

The tensor rank (also known as generalized Schmidt rank) of multipartite pure states plays
an important role in the study of entanglement classifications and transformations. We …

For probability vectors x and y, the catalytic majorization relation x prec_T y is defined to
hold when there exists a probability vector z such that x otimes z is majorized by y otimes z …

An important problem in quantum information theory is the mathematical characterization of
the phenomenon of quantum catalysis: when can the surrounding entanglement be used to …

We prove that any multiple-copy entanglement transformation [S. Bandyopadhyay, V.
Roychowdhury, and U. Sen, Phys. Rev. A 65, 052315 (2002)] can be implemented by a …

Characterizing the transformation and classification of multipartite entangled states is a
basic problem in quantum information. We study the problem under the two most common …

The distribution of typical bipartite pure states is studied within the framework of state
transformation via local operations and classical communication (LOCC). We report the …