Quantum Information, Games and Computation

Abstract

Quantum Information, Games and Computation gives a review of quantum information, quantum game theory, quantum computation and classical electronics for quantum computing. It includes the following sections:

• 6.1 Quantum Information and Computing

  This section presents quantum entanglement, teleportation and information, describes the circuit model for quantum computers, and gives some elementary quantum algorithms.

• 6.2 Quantum Games

  This section presents quantum strategies, two-cubit quantum games, quantum cryptography and formal quantum games.

• 6.3 Hardware for Quantum Computers

  This section presents Josephson junctions, which promise to be basic building blocks of the future quantum computers. They can exhibit chaotic behaviour, both as single junctions and as ladders of junctions, which can show high-dimensional chaos.

• 6.4 Topological Machinery for Quantum Computation

  This section presents the current research in topological quantum computation, mostly non-Abelian anyons (quasi-particles which obey non-Abelian braiding statistics) and emergent anyons (with non-Abelian Quantum Hall states).

• 6.5 Option Price Modelling using Quantum Neural Computation

  This section presents a new model for option pricing using NLS-based quantum neural computation, as a complex-valued alternative to the standard Black-Scholes stock option model.