Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

In this paper, we study the quantum generalisation of the skew divergence, which is a
dissimilarity measure between distributions introduced by Lee in the context of natural …

We discuss quantum key distribution protocols and their security analysis, considering a
receiver-device-independent (RDI) model. The sender's (Alice's) device is partially …

Gram matrices arise naturally in the consideration of pair-wise overlap of a family of vectors
or quantum pure states, and play an important role in synthesizing information of a family of …

The Gram matrix of a set of pure states plays a crucial role in exploring the information
content of quantum states. Since the Gram matrix of a pure-state ensemble can be regarded …

The Gram matrix of a set of vectors, which encapsulates the relations between the
constituent vectors, plays an important role in the exploration of both geometric and …

Consider minimizing the entropy of a mixture of states by choosing each state subject to
constraints. If the spectrum of each state is fixed, we expect that in order to reduce the …

The Gram matrix of a set of quantum pure states plays key roles in quantum information
theory. It has been highlighted that the Gram matrix of a pure-state ensemble can be viewed …

By use of Gram matrices associated with various versions of quantum Fisher information
(related to monotone metrics and metric-adjusted skew information), we study information …

We introduce the telescopic relative entropy (TRE), which is a new regularisation of the
relative entropy related to smoothing, to overcome the problem that the relative entropy …