Course code: P700 - Topics in Theoretical Physics Title: Quantum Info & Computation Level: Introductory Credit rating: 3 credits Lecturer: Gerardo Ortiz Description Recently, a new paradigm in Information Theory and Computer Science has emerged as a result of the application of the fundamental laws of Quantum Mechanics. The development of this paradigm was based on the recognition that useful information is necessarily physically realizable and therefore subject to laws of physics that both enable and limit computation. The close connection between information processing and its physical realization is one of the most remarkable aspects of this new paradigm whose set of ideas constitute what is now known as ` "Quantum Information and Computation''. The fundamental unit of quantum information is called the quantum bit or qubit, which is a quantum two-level system. The device that performs manipulation of quantum information is the "quantum computer". The perspective that quantum phenomena brings to the questions of information and computation is quite unlike the conventional one. In particular, selected problems which classically have only inefficient algorithms, have in the quantum domain, algorithms which are exponentially faster. Most important among these is the factoring of large numbers, whose difficulty underpins the security of certain encryption protocols, used for example in the secure socket layer of the Internet. If a large quantum computer could ever be built, the Internet would become instantly insecure. This course aims to give the student an introduction to this unusual new field. The course covers the foundations of quantum information and selected topics in quantum computation, communication and quantum components, including physical implementations, and the Physics of computation.