Quantum Electromagnetics

ABSTRACT

There is currently an explosive advancement in quantum information processing technology underway that has the potential to revolutionize society through the use of quantum computers, quantum communication systems, and quantum sensors that can outperform the best classical technologies. Since these emerging devices significantly involve electromagnetic effects, there is an important role that classically‐trained electromagnetic engineers can play in making these quantum technologies a reality. This course looks at both sides of this emerging technology space. The course introduces the fundamentals of quantum electromagnetic theory, with application toward building a description of the quantization of electromagnetic fields. Then, the course introduces different paradigms of quantum computation and discusses how each approach can be used to solve electromagnetic analysis and optimization problems. The classes consist of theoretical/application lessons aimed at the presentation of the state of the art of the subject and the in‐depth study of innovative computational methods for addressing electromagnetic problems through the use of dedicated software tools.  

COURSE CONTENT

Part 1: INTRODUCTION TO QUANTUM EM

  • Importance of quantum electromagnetics
  • Connecting electromagnetic oscillation to simple pendulum
  • Hamiltonian theory and Schrodinger equation
  • Quantum information science
  • Hamiltonian theory of Maxwell’s equation
  • Quantum theory of Maxwell’s equations
 

Part 2: QUANTUM INFORMATION THEORY

  • Density matrix formalism: pure and mixed states; density operator and density matrix
  • Quantum information: quantum decoherence and noise ; quantum entanglement

Part 3: QUANTUM EM APPLICATIONS

  • Quantum communications: quantum key distribution; quantum teleportation
  • Quantum computing: building blocks of a quantum computer; quantum algorithms and quantum optimization
  • Quantum sensing: squeezed states; quantum ghost imaging
 

TEACHING ACTIVITIES

  • Theoretical Lessons
  • e-Xam Self Assessment (each teaching class or periodically)
  • MATLAB Hands-On
  • e-Xam Final Assessment
 

FURTHER READINGS

  1. W. C. Chew, “Lectures on Electromagnetic Field Theory”, Lecture Notes, Purdue University, 2022.
  2. T. E. Roth, “Fundamentals of Quantum Technology,” Lecture Notes, Purdue University, 2022.
  3. D. J. Griffiths and D. F. Schroeter, “Introduction to Quantum Mechanics”, Cambridge University Press, 2018.
  4. M. Nielsen and I. Chuang, “Quantum computation and quantum information”, Cambridge University Press, 2000.
  5. M. M. Wilde, “Quantum information theory”, Cambridge University Press, 2017.

Course Information

Date:  Spring 2025 (2 weeks, 30 hours/week)
Format:  The course is offered in blended form (onsite and online)

Registration Information

UniTN Students:  Free
EXTERNAL Students:  216 Eu: First course
180 Eu: Every course from the second one

The fees include the course teaching, the slides/material, and the video recordings (*).

Registration Procedure for UniTN Students

Please contact the Student Support Office of your Department/Centre/School to include the course in your study plan.

Registration Procedure for EXTERNAL Students

Step 1: Register a "guest" type account (@guest.unitn.it)

  • Should you still not have a UniTN account, you have to register and log in with your SPID identity or CIE (electronic ID card). If you cannot use SPID or CIE, please create your own UniTN account.

Step 2: Enroll to a Single UniTN Course

  • Complete the online application through the webpage apply for enrollment in ‘Standard’ single classes a.y. 2024/2025.
    In the application form (Section "Teaching Activities") put the following information:
    • Name of single class/teaching activity: Quantum Electromagnetics
    • Code of single class/teaching activity: 146278
    • Degree course to which the teaching activity is associated: [0518H] Physics
  • Once received the outcome of the application (1-3 days), login into ESSE3 with your "guest" account user-name and password. Then, pay the bulletin you find in Administrative Office – Payments.

NOTES:

  • A vademecum with a step-by-step guide to enroll to a single course at the University of Trento is available here
  • For any question on the registration process, please write to contact@eledia.org

(*) Each registered participant acknowledges that the material distributed in the frame of the course is protected by copyright and delivered for educational purposes and personal use only, therefore the participant agrees and undertakes not to forward, publish, disclose, distribute, disseminate in any form or manner, such a material, without written consent of the author(s) of the material. The participant also undertakes not to make any recordings of the online lectures, unless otherwise explicitly allowed by the speaker in written form.