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Quantum Entanglement: Fundamentals, measures and applications

By Prof. Amarendra Kumar Sarma   |   IIT Guwahati
Learners enrolled: 649   |  Exam registration: 12
ABOUT THE COURSE : In recent times, there is huge interest in quantum computation and quantum information science. In this context, quantum entanglement is drawing tremendous interests from students as well as researchers. Unfortunately, the topic of entanglement is not covered anywhere in an accessible way. This course will enable the students to understand the fundamentals behind quantum entanglement. Also, they will learn associated mathematical tools to quantify entanglement. The course will prepare and motivate them to take a research carrier in this highly promising modern area of inter-disciplinary research.

INTENDED AUDIENCE : Students from B.Tech. Engineering Physics, M.Sc. Physics and B.Tech. Electrical Engineering. Also, Ph.D. students working in the area of Condensed Matter Physics and Quantum Optics.

PREREQUISITES : An elementary course on Quantum Mechanics



Summary
Course Status : Upcoming
Course Type : Elective
Language for course content : English
Duration : 4 weeks
Category :
  • Physics
Credit Points : 1
Level : Undergraduate/Postgraduate
Start Date : 17 Feb 2025
End Date : 14 Mar 2025
Enrollment Ends : 17 Feb 2025
Exam Registration Ends : 24 Feb 2025
Exam Date : 03 May 2025 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.


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Course layout

Week 1:  Introduction; Review of quantum mechanics
  1. Introduction
  2. Postulates of Quantum Mechanics; Quantum mechanics of two-level systems
  3. Density matrix formalism
Week 2: Physics of Quantum Entanglement
  1. Bell’s inequalities and theorem; Einstein-Podolsky-Rosen gedanken experiment;
  2. Schrödinger’s notion of “entanglement”; Bohm’s spin version of the EPR experiment
  3. Schmidt decomposition and entanglement
Week 3: Measures of Quantum entanglement; continuous variable quantum systems, Gaussian states
  1. Introduction to continuous variable quantum systems; quantum phase-space representation
  2. Gaussian states
  3. Logarithmic negativity as a measure
Week 4: Applications of Quantum Entanglement; Quantum teleportation, Super dense coding, optomechanical entanglement
  1. Quantum teleportation; Super dense coding; quantum cryptography
  2. Optomechanical entanglement-I
  3. Optomechanical entanglement-II

Books and references

1. Quantum Optics, G.S. Agarwal, Cambridge University Press (2013)

2. Continuous variable quantum entanglement in optomechanical systems: A short review, Amarendra K. Sarma et al. AVS Quantum Sci. 3. 015901 (2021)

Instructor bio

Prof. Amarendra Kumar Sarma

IIT Guwahati
Prof. Amarendra Kumar Sarma is a Professor of Physics, in the department of Physics, IIT Guwahati. He works on a multitude of frontier areas, covering both fundamental and applied aspects of theoretical quantum and nonlinear optics. His current focus of research is Cavity Quantum Optomechanics and quantum correlations. He has successfully guided 8 Ph.D. students so far and currently another 5 students are working in his group towards their Ph.Ds. Prof. Sarma has published many high quality research articles in prestigious physics journals.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: May 3, 2025 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 3 assignments out of the total 4 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

Please note that assignments encompass all types (including quizzes, programming tasks, and essay submissions) available in the specific week.

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Guwahati .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team


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