QIC 700s


QIC 710 Quantum Information Processing (0.50) LECCourse ID: 011589
(Cross-listed with AMATH 871, CO 681, CS 768, PHYS 767)
Review of basics of quantum information and computational complexity; Simple quantum algorithms; Quantum Fourier transform and Shor factoring algorithm: Amplitude amplification, Grover search algorithm and its optimality; Completely positive trace-preserving maps and Kraus representation; Non-locality and communication complexity; Physical realizations of quantum computation: requirements and examples; Quantum error-correction, including CSS codes, and elements of fault-tolerant computation; Quantum cryptography; Security proofs of quantum key distribution protocols; Quantum proof systems. Familiarity with theoretical computer science or quantum mechanics will also be an asset, though most students will not be familiar with both.

QIC 750 Implementation of Quantum Information Processing (0.50) LECCourse ID: 013787
Photonic quantum computing (interference and superposition principle of light, polarization; photoelectric effect; photons; dual rail qubits; beamsplitters and phase rotators; the Knill-Laflamme-Milburn proposal), Ion Trap quantum computing (trapping ions, optical pumping, Rabi oscillations, Raman pulses, shelving readout, motional gates), Atomic quantum computing (light-induced forces, optical lattices, Feshbach resonances), Nuclear Magnetic Resonance (single spin in a magnetic field; states at high temperatures; Rabi oscillations, interactions, interactions between spins; frequency-addressing), Electron Spin Resonance (basics of microwave control, ESR in the solid state), Superconducting qubits (a single wavefunction for a macroscopic number of particles/London theory of superconductors; the Josephson effect; quantizing electric circuits; different types of superconducting qubits; decoherence sources).

QIC 800s


QIC 820 Theory of Quantum Information (0.50) LECCourse ID: 000711
(Cross-listed with CS 766)
Fundamentals of quantum information theory including states, measurements, operations, and their representations as matrices; measures of distance between quantum states and operations; quantum Shannon theory including von Neumann entropy, quantum noiseless coding, strong subadditivity of von Neuman entropy, Holevo's Theorem, and capabilities of quantum channels; theory of entanglement including measures of entanglement, entanglement transformation, and classifications of mixed-state entanglement; other topics in quantum information as time permits.

QIC 823 Quantum Algorithms (0.50) LECCourse ID: 013823
An investigation of algorithms that allow quantum computers to solve problems faster than classical computers. The quantum circuit model, Quantum Fourier transform, phase estimation, computing discrete logarithms, period finding, and quantum algorithms for number fields. The hidden subgroup framework and the non-Abelian hidden subgroup problem. Quantum search, amplitude amplification, and quantum walk algorithms. Limitations on the power of quantum computers. Selected current topics in quantum algorithms.

QIC 845 Open Quantum Systems (0.50) LECCourse ID: 012567
(Cross-listed with AMATH 876)
Review of the axioms of quantum theory and derivation of generalized axioms by considering states, transformations, and measurements in an extended Hilbert space. Master equations and the Markov approximation. Standard models of system-environment interactions and the phenomenology of decoherence. Introduction to quantum control with applications in NMR, quantum optics, and quantum computing.

QIC 880 Nanoelectronics for Quantum Information Processing (0.50) LECCourse ID: 013788
Electrodynamics of superconductors, BCS theory and tunnel junctions, the Josephson effect, flux and fluxoid quantization, quantization of electric circuits, the basic types of superconducting qubits, decoherence in the solid state, circuit quantum electrodynamics, readout of nanoscale qubits, fabrication of qubit devices, measurement techniques.

QIC 885 Quantum Electronics and Photonics (0.50) LECCourse ID: 013824
This course is designed for engineers who are interested to learn applied quantum mechanics to study quantum behaviours of electron, photon and their interaction. The course content is a mix of topics usually covered in more conventional courses such as quantum electronics and quantum optics to invite a wide range of audiences who are working on areas such as engineering electromagnetics, solid state electronics, nanotechnology, applied quantum optics and quantum devices for classical and quantum information processing. The course is introductory and emphasizes on the fundamental concepts and engineering applications without a previous exposure to quantum mechanics. Examples and problems are designed to address the applications of the course contents to real problems in electronic, optoelectronic, photonic and superconductive devices.

QIC 890 Topics in Quantum Information (0.50) LECCourse ID: 013789
Quantum Information topics course.
1 Mag res &-spin-based QI pro
2 Applied Qtm Cryptography
3 Impltn of Qtm Communication
4 Selected Advanced Topics in QI
5 Design in Quantum Systems
6 Optical & Atomc Imp
7 Qtm Error Corr & Flt Tolerance
8 Theory of Quantum Communicatn
9 Semidefinite Programming in QI
10 Recent advances in Quant. Inf.
11 Quantum Complexity Theory
12 Building a Neutron Camera
13 Spin-based QI Processing
14 Haar Measure in Quantum Info
15 Mod Qtm Optics & Nanophotonics
16 Solid-state Photonic Devices

QIC 891 Topics in Quantum Information (0.25) LECCourse ID: 013920
Quantum Information topics courses.
1 Selected Advanced Topics in QI
2 Many-Body Phys & Qtm Fdns/Info
3 Examples of Quantum Devices
4 Recent advances in Quant. Inf.
5 Topics in Quantum-Safe Crypto
6 Implementations of QIP

QIC 895 Topics in Quantum Information (0.50) RDGCourse ID: 013790
Quantum Information topics course.
Instructor Consent Required
1 Info-theo mthds in comm complx
2 Exp technique for quantum comm
3 Nuclear Magnetic Resonance
4 Theory of Quantum Optics