All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

No-cloning theorem is fundamental for quantum mechanics and for quantum information
science that states an unknown quantum state cannot be cloned perfectly. However, we can …

This book is the revised English edition of the Japanese book Introduction to Quantum
Information Theory, which systematically describes quantum information theory and was …

Quantum nonlocality is usually associated with entangled states by their violations of Bell-
type inequalities. However, even unentangled systems, whose parts may have been …

We present the entropic uncertainty relations for multiple measurement settings which
demonstrate the uncertainty principle of quantum mechanics. Those uncertainty relations …

We explicitly exhibit a set of four ququad-ququad orthogonal maximally entangled states that
cannot be perfectly distinguished by means of local operations and classical …

In 2⊗ 2, more than two orthogonal Bell states with a single copy can never be discriminated
with certainty if only local operations and classical communication (LOCC) are allowed. We …

Two types of results are presented for distinguishing pure bipartite quantum states using
local operations and classical communications. We examine sets of states that can be …

We show that entanglement guarantees difficulty in the discrimination of orthogonal
multipartite states locally. The number of pure states that can be discriminated by local …

The nonlocal set has received wide attention over recent years. Shortly before, Li and Wang
arxiv: 2202.09034 proposed the concept of a locally stable set: The only possible …