ECE 543: Quantum Communications and Quantum Networks

Spring 2024

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Course Syllabus

Course Description

The ECE 543 represents a self-contained introduction to quantum information, quantum communications, and quantum networks. To make the course self-contained, an overview of basic principles of quantum mechanics including state vectors, operators, density operators, measurements, and dynamics of a quantum system is provided next. The course continues with fundamental principles of quantum information processing, basic quantum gates, no-cloning theorem, and theorem on indistinguishability of arbitrary quantum states. The next topic in the course is related to the quantum information theory, quantum detection and Gaussian quantum information theories,  quantum communication, and quantum key distribution (QKD). The focus of the course is then moved to quantum networking. The course continues with quantum metrology and quantum sensing.
 

Instructor

Dr. Ivan B. Djordjevic, Professor
Office: ECE 456B
Phone: (520) 626-5119
Email: ivan <at> email <dot> arizona <dot> edu
Web: https://uweb.engr.arizona.edu/~ivan/  

Reference Book: 

I. B. Djordjevic, Quantum Communication, Quantum Networks, and Quantum Sensing. Elsevier/Academic Press, July 2022.

[available (can be downloaded) through UA library]

Class Time and Location

                Monday and Wednesday, 4:00 PM - 5:15 PM

 Office Hours

Monday and Wednesday, 5:30 PM - 6:10 PM

Additional office hour can be arranged on request.

Prerequisites

    N/A

Homeworks and Project

Homeworks will be computer assignments' oriented, and will be given after every chapter from course syllabus. One semester long project will be given, which would have theoretical part, simulation part and experimental demonstration component.

Grading: Regular grades will be awarded for this course: A B C D E.

Homeworks	15%
Project	30%
Midterm Exam	20%
Final Exam	35%

Tentative Course Outline

• Review of Quantum Information Processing
  • State Vectors, Operators, Projection Operators, and Density Operators
  • Measurements: Projective, Generalized, and POVM
  • Uncertainty Relations and Dynamics of a Quantum System
  • Superposition principle and  quantum parallelism
  • Quantum information processing fundamentals
  • No-cloning theorem and distinguishing the quantum states
    
• Quantum Optics Fundamentals
  
• Quantum Information Theory
  • Holevo information, Accessible information, and Holevo bound
  • Data compression and Schumacher's noiseless quantum source doing theorem,
  • Operator-sum representation and quantum channels,
  • Quantum channel coding and Holevo-Schumacher-Westmoreland theorem.

• Quantum Detection and Quantum Communications
  • Quantum detection theory,
  • Coherent states and quadrature operators, uncertainty relation
  • Quantum communications in the absence of background radiation,
  • Field coherent states, P-representation, Q-fucntion, Wigner function, and noise representation,
  • Quantum detection in the presence of noise,
  • Gaussian states, Gaussian transformation, Gaussian channels, squeezed states,
  • Generation of quantum states.

•         Multilevel quantum communications
  
•         Quantum networking
  • Quantum teleportation and quantum relays,
  • Entanglement distribution,
  • Quantum network coding,
  • Engineering of the entangled states,
  • Quantum architectures,
  • Cluster states-based quantum networking.

• Quantum metrology and quantum sensing
  • State discrimination problem, two-state discrimination problem with a single copy of the unknown state
  • Quantum Chernoff bound,
  • Process discrimination,
  • Quantum phase estimation,
  • From state discrimination to parameter estimation,
  • Quantum Cramer-Rao bound,
  • Distributed quantum sensing,
  • Quantum radars.

• Quantum key distribution (QKD)
  • Discrete variable QKD protocols: BB84, B92, Ekert and EPR protocols
  • QKD security,
  • Decoy-state protocols,
  • Measurement device-independent protocols,
  • Twin-field QKD protocols,
  • Continuous variable QKD protocols.
    
• Quantum Error Correction (if time allows)

Study Groups

Working in study groups can be beneficial if everyone participates.  Therefore, while working in study groups is allowed and even encouraged, all work submitted for a grade must be your own.