Photonic Quantum Information Processing

  • Course Type: Graduate Course
  • Semester Offered: Fall
Course Number: 
OPTI 647
Units: 
3
Distance Course: 
Yes
Course Description: 
Photonic quantum information processing is a field that investigates the use of non-classical sources, processing and detection of light that could help encode and process information encoded in photons much more efficiently compared to conventional methods, with applications in optical communications, security, sensing and computation. This course will be aimed at developing a principled understanding of quantum mechanical description of light, its generation, manipulation and detection. This course will be valuable for graduate students who intend to partake theoretical or experimental research in any area of photonic quantum information processing, such as quantum communications, sensing and computation. The course will be roughly partitioned into two logical halves. In the first half of course, we will develop foundational material: modal decomposition of the optical field, semi-classical description of optical detection, develop intuition on why a more powerful (quantum) theory is required to interpret photo-detection statistics of certain forms of non-classical light, leading into the development of the notion of “classical” and “non-classical” states of a collection of optical modes in a formal way, develop the notion of Gaussian and non-Gaussian states, processes and measurements, and the covariance matrix formalism, leading into the full quantum coherence theory description of the optical field. The second half of the course will focus on methods to generate, manipulate and detect interesting non-classical and entangled states of photons, the role and limitations of linear optics, realization of Gaussian transformations (which subsume linear optics and squeezing transformations) and more general non-Gaussian transformations. We will draw specific examples from important applications of photonic quantum information processing, such as linear optical quantum computing, quantum repeaters for entanglement distribution, and quantum sensing. In this part, we will also calculate various metrics of quantum states and measurements (e.g., Relative entropy, Fidelity, Chernoff exponent, Fisher information, Entanglement of formation, etc.) and their operational meanings in various applications.
Prerequisite(s): 
Knowledge of complex numbers, linear algebra, Fourier transforms, probability and random processes. Prior background in quantum physics and quantum optics will be valuable, but not required. If a prospective student has not taken any undergraduate or graduate course in quantum physics, prior consultation with the instructor is recommended.
Instructor(s): 
Saikat Guha
Contact: 
Textbooks: 

There is no required text but handouts and references will be provided as necessary.

Attendance Policy: 
It is important to attend all classes, as what is discussed in class is pertinent to adequate performance on assignments and exams. If you must be absent, it is your responsibility to obtain and review the information you missed. This is especially important in this course where a substantial amount of course material will emerge through class discussion.
 
"All holidays or special events observed by organized religions will be honored for those students who show affiliation with that particular religion. Absences pre-approved by the UA Dean of Students (or Dean's designee) will be honored."
Course Syllabus: 
Academic Integrity

According to the Arizona Code of Academic Integrity, “Integrity is expected of every student in all academic work. The guiding principle of academic integrity is that a student’s submitted work must be the student’s own.” Unless otherwise noted by the instructor, work for all assignments in this course must be conducted independently by each student. Co-authored work of any kind is unacceptable. Misappropriation of exams before or after they are given will be considered academics misconduct.

Misconduct of any kind will be prosecuted and may result in any or all of the following:

  • Reduction of grade
  • Failing grade
  • Referral to the Dean of Students for consideration of additional penalty, i.e., notation on a student’s transcript re: academic integrity violation, etc.
Students with Learning Disabilities

If a student is registered with the Disability Resource Center, he/she must submit appropriate documentation to the instructor if he/she is requesting reasonable accommodations.

The information contained in this syllabus may be subject to change with reasonable advance notice, as deemed appropriate by the instructor.