Introduction to Quantum Computation and Information

C Bits

Bernard Zygelman

Bernard Zygelman

Alice Flarend, Bob Hilborn

Abstract We meet our hosts, Alice and Bob, and an undergraduate student, Cardy. Alice and Bob tell Cardy why QC is “the next big thing.” They give a brief introduction to quantum information science (QIS) and its relation to quantum computing (QC). They also provide an overview of the rest of the book and how the book should be used to come to grips with quantum ideas that allow QCs to do things unimaginable for traditional computers. Alice and Bob emphasize that with perseverance everyone can understand the fundamentals of QC and how quantum physics enables entirely new ways of thinking about computational algorithms. They explain the book’s overarching narrative: quantum states, quantum entanglement, and quantum measurements provide the essential resources for QC and QIS.

Ivan S. Oliveira, Tito José Bonagamba, Roberto S. Sarthour +2 more

Elisa Ercolessi, R. Fioresi, THOMAS W. WEBER

In this expository paper, we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we focus on quantum information geometry and [Formula: see text]-calculus, establishing a connection between quantum computing questions and quantum groups, i.e. Hopf algebras.