Catalytic Conversion Probabilities for Bipartite Pure States

TL;DR

This paper derives an expression for the maximum probability of converting one bipartite pure state into another using catalysis, and determines when this bound can be achieved.

Contribution

It provides a formula for the upper bound of conversion probabilities with catalysis and criteria for its attainability.

Findings

Derived an explicit expression for the upper bound of conversion probabilities.

Established conditions under which the upper bound is achievable.

Enhances understanding of state conversion efficiency in quantum information.

Abstract

For two given bipartite-entangled pure states, an expression is obtained for the least upper bound of conversion probabilities using catalysis. The attainability of the upper bound can also be decided if that bound is less than one.