We give a pedagogical review of how concepts from quantum information theory build up
the gravitational side of the anti-de Sitter/conformal field theory correspondence. The review …

A bstract We propose a family of exactly solvable toy models for the AdS/CFT
correspondence based on a novel construction of quantum error-correcting codes with a …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

Quantum computers solve ever more complex tasks using steadily growing system sizes.
Characterizing these quantum systems is vital, yet becoming increasingly challenging. The …

One central theme in quantum error-correction is to construct quantum codes that have a
large minimum distance. Quantum maximal distance separable (MDS) codes are optimal in …

Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, are well studied in the literature, but are technically not easy. As …

Let be a prime power and be an integer with. The-Galois hull of classical linear codes is a
generalization of the Euclidean hull and Hermitian hull. We provide a necessary and …

A pure multipartite quantum state is called absolutely maximally entangled (AME), if all
reductions obtained by tracing out at least half of its parties are maximally mixed. Maximal …

We describe generalizations of the Pauli group, the Clifford group, and stabilizer states for
qudits in a Hilbert space of arbitrary dimension d. We examine a link with modular arithmetic …