Abstract Contents § 0. Introduction § 1. Abelian problem on the stabilizer § 2. Classical
models of computations 2.1. Boolean schemes and sequences of operations 2.2. Reversible …

Quantum theory has found a new field of application in the realm of information and
computation during recent years. This paper reviews how quantum physics allows …

While quantum state tomography is notoriously hard, most states hold little interest to
practically minded tomographers. Given that states and unitaries appearing in nature are of …

We study and solve the problem of distilling a secret key from quantum states representing
correlation between two parties (Alice and Bob) and an eavesdropper (Eve) via one–way …

Entropy is a concept which appears in several fields and it is in the center of interest both in
mathematical and physical subjects, sometimes even at other places, for example in …

We study the amount of classical communication needed for distributed quantum-
information processing. In particular, we introduce the concept of “remote preparation” of a …

We devise a simple modification that essentially doubles the efficiency of the BB84 quantum
key distribution scheme proposed by Bennett and Brassard. We also prove the security of …

A subalgebra M 0 of a von Neumann algebra M is called weakly sufficient with respect to a
pair (φ, ω) of states if the relative entropy of φ and ω coincides with the relative entropy of …

This course-based monograph introduces the reader to the theory of continuous
measurements in quantum mechanics and provides some benchmark applications. The …

Shor and Preskill (see Phys. Rev. Lett., vol. 85, p. 441, 2000) have provided a simple proof
of security of the standard quantum key distribution scheme by Bennett and Brassard (1984) …