Introduction to Quantum Information

Introduction to quantum information theory emphasizing the topics of quantum compression, quantum communication, entanglement, channels, coding, nonlocality, distinguishability, steering, and resources.

These topics require basic knowledge of linear algebra.

Introduction to Quantum Computation

Quantum information, quantum algorithms including Shor's quantum factoring algorithm and Grover's quantum searching technique, quantum error correcting codes, quantum cryptography, nonlocality and quantum communication complexity, and quantum computational complexity.

Prerequisites: Computer Science 413 and Mathematics 311.

Quantum Computation

Quantum information, quantum algorithms including Shor's quantum factoring algorithm and Grover's quantum searching technique, quantum error correcting codes, quantum cryptography, nonlocality and quantum communication complexity, and quantum computational complexity.

Note: Lectures may run concurrently with Computer Science 519

Quantum Mechanics I

Basic postulates of quantum mechanics. Mathematical formalism of the theory and its physical interpretation. Schrödinger's time-dependent and time-independent equations. Single particle in a potential field (square well, potential barrier, harmonic oscillator, Kronig-Penney, Coulomb) and rigid rotator. The applicability of these potentials to atomic, molecular, nuclear, and solid state physics will be indicated.

Prerequisites: Physics 325 and 343.

Note: Credit for both Physics 443 and Chemistry 373 will not be allowed.

Quantum Mechanics II

Prerequisite: Physics 443.

Fourth year undergraduate research projects

Independent Study. Each student will be assigned a project in consultation with a tutor. A written report and oral presentation are required.

Prerequisites: Consent of the Department.

Advanced Quantum Mechanics I

Review of special relativity, electrodynamics, and nonrelativistic quantum mechanics. Klein-Gordon and Dirac equations with minimal coupling. Antimatter and the PCT Theorem. Foldy-Wouthuysen transformation and relativistic corrections to Hyrogen spectroscopy. Introduction to quantum field theory.
Note: It is expected that a student's background will include Physics 543 or equivalent.

Advanced Quantum Mechanics II

Second quantized description of N-particle systems. Quantum theory of the electromagnetic field, coherent states. Relativistic quantum mechanics. Note: It is expected that a student's background will include Physics 543 or equivalent.

Quantum Optics and Nonlinear Optics

Fundamentals of quantum and nonlinear optics including atom-photon interactions, coherence, electromagnetically-induced transparency, open systems and decoherence, and applications to quantum information technology.

Implementations of Quantum Information

Proposals and realizations of quantum information tasks including quantum computation, quantum communication, and quantum cryptography in optical, atomic, molecular, and solid state systems.

Quantum Cryptography

Introduction to classical and quantum information theory with focus on channel capacity. Quantum key distribution, security proofs, technological issues and practical realizations.

These topics require knowledge of linear algebra.