A bstract In this paper, we introduce a new quantity called SVD entanglement entropy. This
is a generalization of entanglement entropy in that it depends on two different states, as in …

The quantum no-broadcasting theorem states that it is impossible to produce perfect copies
of an arbitrary quantum state, even if the copies are allowed to be correlated. Here we show …

The conventional framework of quantum theory treats space and time in vastly different ways
by representing temporal correlations via quantum channels and spatial correlations via …

While the quantum mutual information is a fundamental measure of quantum information, it
is only defined for spacelike-separated quantum systems. Such a limitation is not present in …

We discuss the SVD entanglement entropy, which has recently come up as a successor to
the pseudo entropy. This paper is a first-of-its-kind application of SVD entanglement entropy …

In quantum information theory, communication capacities are mostly given in terms of
entropic formulas. Continuity of such entropic quantities are significant, as they lend …

Motivated by advances in categorical probability, we introduce non-commutative almost
everywhere (ae) equivalence and disintegrations in the setting of C-algebras. We show that …