Applications for admission to M. Tech. in Quantum Technology closed on 31st March 2021.

1153 applications were received, 289 candidates were shortlisted, 167 candidates appeared for interview.

Interviews checked background in Mathematics, Physics and Computer Science.

Offers to selected candidates will be made only via Common Offer Acceptance Portal (COAP), shared by IISc and IITs.

- Quantum Technology is a rapidly growing field world-wide. There is a recent push in this direction by the Government of India.
- The National Mission on Quantum Technology and Applications (NM-QTA) is being set up, and it urgently requires a trained workforce. The central government budget (2020) announced a support of Rs. 8000 crores over five years to this field.
- IISc has a vibrant community of researchers working in this field, spanning across both science and engineering faculty, and across many departments.Several faculty members offer courses related to quantum technologies in their individual capacity, and the M.Tech. program will bring them under one umbrella.
- The program will train students in quantum technology, for both advanced research and advanced industry. The elective part of the program will equip students to acquire training in allied technology areas as well. The Entrepreneurship Seminar will encourage students to initiate start-ups in the field and help build a sustainable ecosystem.

**Proposed start:** August 2021

**Proposed intake:** 20 students

**Duration of the program:** 2 years (4 semesters), as per IISc rules.

**Admission qualification:** B.E/B.Tech./equivalent degree in any engineering discipline, or 4-year B.S./M.Sc./equivalent degree in any science discipline. In all cases, a valid GATE score and strong mathematical background will be required.

**Entry mode:** GATE qualification in Engineering or Science, followed by an interview.

**Scholarships and fees:** These will be as per IISc rules. http://www.iisc.ac.in/admissions/fees-and-scholarships/

**Host department:** This multi-disciplinary program will be formally hosted by the Department of Instrumentation and Applied Physics. A program coordination committee (PCC) will look afterf the courses, the admission process and the interviews, and the student performance.

This is a 2-year (4 semesters) course-based multi-disciplinary program, as per IISc rules, including a project at the end.

The program will have the following four thrust areas:

**Quantum Computation and Simulation****Quantum Communications****Quantum Measurement and Sensing****Materials for Quantum Technologies**

The students will opt for their area of interest after the first semester of common course work. Depending on their selected areas, they can choose the soft core and elective courses to consolidate their knowledge and expertise.

The courses will also be elective options for the students of the IISc Undergraduate Program.

**Total Credits: 64 Project Credits: 20**

**Hard core Credits: 23 Soft core + Elective Credits: 21**

- Students will be encouraged to pursue an internship with an external organisation (public or private) during the summer term after the second semester.
- Students in the M.Tech. program may convert to a Ph.D. program as per IISc rules.

__Semester 1 (16 credits)__** **__Semester 2 (16 credits)__

Survey of Quantum Technologies (1:0) Intro to Quantum Measurement and Sensing (3:0)

Math Foundations of Quantum Tech (3:0) Materials for Quantum Tech (3:0)

Phys/Engg Foundations of Quantum Tech (3:0) Student Seminar (Project preparation) (1:0)

Intro to Quantum Computation (3:0) Soft Core I (3:0)j

Intro to Quantum Communication (3:0) Elective I (3:0)

Basic Quantum Tech Lab (1:2)** ** Soft Core Lab I (1:2)

__Summer project (recommended)__

__Semester 3 (16 credits)__** **__Semester 4 (16 credits)__

Soft Core II (3:0) Elective III (3:0)

Elective II (3:0) Project II (13 credits)

Industry/Entrepreneurship Seminar (1:0)

Soft Core Lab II (3:0)

Project I (6 credits)

** **

*Semester 1 (Aug-Dec):*

- Survey of Quantum Technologies (Seminar) (1:0)
- Mathematical Foundations of Quantum Technologies (3:0)
- Physical and Engineering Foundations of Quantum Technologies (3:0)
- Introduction to Quantum Computation (3:0)
- Introduction to Quantum Communications and Cryptography (3:0)
- Basic Quantum Technology Lab (1:2)

*Semester 2 (Jan-Apr)*

- Introduction to Quantum Measurement and Sensing (3:0)
- Introduction to Materials for Quantum Technologies (3:0)

*Semester 3 (Aug-Dec): *

- Industry/Entrepreneurship Seminar (1:0)

*Semester 2 (Jan-Apr)*:

- Advanced Quantum Computation and Information (3:0)
- Quantum Information Theory and Communications (3:0)
- Quantum-Safe Cryptography (3:0)
- NEMS and MEMS devices (3:0)
- Advanced Programming Lab (1:2)
- Advanced Optics Lab (1:2)

*Semester 3 (Aug-Dec):*

- Solid State Qubit devices (3:0)
- Advanced Quantum Communications (3:0)
- Integrated Photonics (3:0)
- Quantum Optics and Advanced Quantum Measurement (3:0)
- Advanced Micro and Nanofabrication Technology and Process (3:0)
- Advanced Materials Synthesis and Characterisation Lab (1:2)
- Advanced Electronics Lab (1:2)

Any soft core course can be chosen as an elective.

Students are also free to choose electives from the existing IISc courses, based on their interests and employment opportunities, and in consultation with their supervisors.

*Aug-Dec*

E0 230 (3:0) Computational Methods of Optimization (CSA)

PH 320 (3:0) Condensed Matter Physics II (PH)

NE 213 (3:0) Introduction to Photonics (CeNSE)

NE 312 (3:0) Nonlinear and Ultrafast Photonics (CeNSE)

E3 238 (2:1) Analog VLSI circuits (ECE)

E0 284 (2:1) Digital VLSI circuits (ECE)

IN 229 (3:0) Advanced Instrumentation and Electronics (IAP)

E3 262 (2:1) Electronic Systems Packaging (DESE)

*Jan-Apr*

E0 249 (3:0) Approximation Algorithms (CSA)

E0 270 (3:0) Machine Learning (CSA)

E0 304 (3:0) Computational Cognitive Neuroscience (CSA)

PH 359 (3:0) Physics at the Nanoscale (PH)

PH 208 (3:0) Condensed Matter Physics I (PH)

PH 366 (3:0) Physics of Advanced Optical Materials (PH)

E9 207 (3:0) Basics of Signal Processing (DESE)

IN 214 (2:1) Semiconductor Devices and Circuits (IAP)

IN 227 (3:0) Control Systems Design (IAP)

E9 253 (3:1) Neural Networks and Learning Systems (DESE)

**QT 201 (AUG) Survey of Quantum Technologies (1:0)**

Introductory lectures by IISc faculty on the variety of developments in quantum technology. Augmented by seminars from leading researchers around the world.

**NE 215 (AUG) Applied Solid State Physics / QT 203 (AUG) Physics/Engineering Foundations of Quantum Technology (3:0)**

Maxwell’s equations in vacuum, insulating and conducting media; Derivation of wave equation; Fresnel equations; Interference, diffraction and polarisation. Principle of thermal equilibrium; Entropy and Boltzmann factor; Black-body radiation. Origin of quantum mechanics; Bohr model of H-atom; Wave-particle duality; Uncertainty principle; Schrodinger equation; Particle in a box and scattering by a barrier; Application to simple harmonic oscillator; Operators and commutation properties; Unitary evolution and Hilbert space; H-atom and quantum numbers. Perturbation theory; Scattering, transitions and Fermi’s Golden rule; Identical particles; Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics. Solids, crystal structure and reciprocal lattice; Lattice vibrations, phonons and specific heat; Free electrons, electrons in periodic potential and band formation; Transport and optical properties; Metals vs. semiconductors vs. insulators; Quantisation of photons, phonons and excitations.

- Griffiths D.J., Introduction to Electrodynamics, Fourth edition, Pearson, 2015.
- Griffiths D.J. and Schroeter D.F., Introduction to Quantum Mechanics, Third edition, Cambridge University Press, 2019.
- Kittel C., Introduction to Solid State Physics, Ninth edition, Wiley India, 2019.

**PH 205 (AUG) Mathematical Methods of Physics / QT 205 (AUG) Mathematical Foundations of Quantum Technology (3:0)**

Linear vector spaces; Linear operators and matrices; Systems of linear equations; Eigenvalues and eigenvectors; Classical orthogonal polynomials.** **Linear ordinary differential equations; Exact and series methods of solution; Special functions; Linear partial differential equations of physics; Separation of variables method of solution. Complex variable theory; Analytic functions; Taylor and Laurent expansions; Classification of singularities; Analytic continuation; Contour integration; Dispersion relations; Fourier and Laplace transforms.** **Elements of group theory; Discrete and continuous groups.

- Mathews J. and Walker R.L., Mathematical Methods of Physics, Second edition, Pearson Addison-Wesley, 1971.

**QT 207 (AUG) Introduction to Quantum Computation (3:0)**

Axiomatic quantum theory; Quantum states, observables, measurement and

evolution; Qubits versus classical bits; Spin-half systems and photon

polarizations; Pure and mixed states; Density matrices; Quantum correlations;

Entanglement and Bell’s theorems; Turing machines and computational complexity;

Reversible computation; Universal quantum logic gates and circuits; Quantum

algorithms; Database search; Fast Fourier Transform and prime factorisation.

- Nielsen M.A. and Chuang I.L., Quantum Computation and Quantum Information, Cambridge University Press, 2000.
- Peres A., Quantum Theory: Concepts and Methods, Kluwer Academic, 1993.
- Preskill J., Lecture Notes for the Course on Quantum Computation, http://www.theory.caltech.edu/people/preskill/ph229

**QT 209 (AUG) Introduction to Quantum Communications and Cryptography (3:0)**

Digital communication; Communication channels; Information and entropy; Shannon’s theorems; Quantum communication, dense coding and teleportation; von Neumann entropy and quantum channel capacity; General quantum evolution and superoperators; Errors and error correction codes; Stabilizer formalism; Cryptography and one-time pad; Public and private key cryptography; Quantum key distribution; Quantum cryptography. Geometrical and wave optics; Quantisation of the electromagnetic field; Photon number states; Coherent states; Squeezing and beam-splitters.

- Nielsen M.A. and Chuang I.L., Quantum Computation and Quantum Information, Cambridge University Press, 2000.
- Preskill J., Lecture Notes for the Course on Quantum Computation, http://www.theory.caltech.edu/people/preskill/ph229

Introduction to RF equipment: VNA, Signal generators, AWGs, Oscilloscopes. Basics of microwave engineering: Impedence, S-parameters. Characterisation of passive RF components: Cables, Terminations, Attenuators, Directional couplers, RF mixers, Filters, Circulators and Isolators. Probability and Statistics: Binomial, Poisson and Gaussian distributions, Fitting of experimental data, Error analysis. Use of Qiskit and QuTiP Python packages for Quantum Computation and Quantum Optics: Simulation of basic quantum Hamiltonians, Dissipative systems, Quantum logic circuits.

- Pozar D.M., Microwave Engineering, Fourth edition, Wiley, 2013.
- Programming resources at qiskit.org and qutip.org (online).

- Physics
- Mathematics
- Computer Science

- Rohde and Schwarz India (laboratory equipment)
- Keysight Technologies India (laboratory equipment)
- IBM Quantum (through IBM Educators Program)
- Amazon Web Services (through agreement with MeitY, GoI)