Applications for admission to M. Tech. in Quantum Technology closed on 26 March 2023.

** 408 applications were received, 116 candidates were shortlisted, 59 candidates appeared for interview.**

Applications for admission to M. Tech. in Quantum Technology closed on 22 March 2022.

**352 applications were received, 132 candidates were shortlisted, 56 candidates appeared for interview.**

Welcome meeting for the students of the 2022 batch: 5 July 2022 at 4pm (hybrid mode).

Applications for admission to M. Tech. in Quantum Technology closed on 31 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 made only via Common Offer Acceptance Portal (COAP), shared by IISc and IITs.

Welcome meeting for the students of 2021 batch: 2 August 2021 at 3pm (online on MS Teams).

- 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.

Preferred GATE disciplines are: AE, BM, BT, CE, CH, CS, CY, EC, EE, GG, NM, IN, MA, ME, MN, MT, PH, PI, XE, ST, GE.

**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 after the courses, the admission process and the interviews, and the student performance.

**Joined August 2021:**

1. Akshay Ranchhod Patil

2. Bokka Udaya Peddiraju

3. Naipunnya Raj

4. Guru Krushna Anurag Prasad Sahoo

5. Rajiv Ramesh Sangle

6. Chaitali Shah

7. Avinash Singh

8. Sukhsagar

**Joined August 2022:**

11 students

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)

Foundations of Nanoelectronics Devices (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)
- Foundations of Nanoelectronics Devices (3:0)
- Physics 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)**

**Instructors (2021):** IQTI Faculty, **Timings:** M 16:00-17:00

**Instructors (2023):** IQTI Faculty, Timings: M/W/F 16:00-17:00

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)**

**Instructors (2021):** Akshay Naik, Ambarish Ghosh, **Timings:** MWF 11:00-12:00

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.

This is a graduate-level introductory course on the quantum mechanical foundations required to grasp the principles of modern solid-state devices. There is no prerequisite for this course.

QT 203 (AUG) Physics and Engineering Foundations for Quantum Technologies (3:0)

**Instructor (2023):** Baladitya Suri, Timings: MWF 11:00-12:00

The course will provide preliminary introduction to the following topics in mathematics and physics.

Elements of number theory; Group theory; Boolean logic, Digital electronics and Computer architecture; Introduction to theoretical computer science—Automata theory, Turing machines; Probability, statistics and error analysis; Introduction to statistical physics; Introduction to quantum optics.

- Courant R. and Robbins H. (Revised by Stewart I.), What is Mathematics? : An Elementary Approach to Ideas and Methods, Second edition, Oxford University Press, 1997.
- Hassani S., Mathematical Methods for Physicists, Second edition, Springer, 2013.
- Mano M., Digital Design, Third edition, Pearson, 2001.
- Sipser M., Introduction to the Theory of Computation, Third edition, Cengage India, 2014.
- Wannier G.H., Statistical Physics, Dover, 2012.
- Gerry C.C., Introductory Quantum Optics, Cambridge University Press, 2004.

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

**Instructor (2021):** Sriram Ramaswamy, **Timings:** TuTh 08:30-10:00

Linear vector spaces; Linear operators and matrices; Systems of linear equations; Eigenvalues and eigenvectors.** **Linear ordinary differential equations; Exact and series methods of solution; 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.** **Elementary group theory; Discrete and continuous groups.

- Arfken G.B., Weber H.J. and Harris F.E., Mathematical Methods for Physicists, Seventh edition, Elsevier, 2012.
- 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)**

**Instructor (2021):** Apoorva Patel, **Timings:** MWF 12:00-13:00

**Instructor (2023):** Apoorva Patel, Timings: MWF 12:00-13:00

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; General quantum evolution and superoperators; 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 factorization.

- 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)**

**Instructors (2021):** Apoorva Patel, Asha Bhardwaj, Baladitya Suri, Varun Raghunathan, **Timings:** TuTh 11:30-13:00

**Instructors (2023):** Apoorva Patel, Asha Bhardwaj, Varun Raghunathan, Timings: TuTh 11:30-13:00

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

- 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

**Instructors (2023):** Baladitya Suri, Vibhor Singh, Timings: Weekday afternoons

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).

**QT 202 (JAN) Introduction to Quantum Measurement and Sensing (3:0)**

**Instructor (2022):** Baladitya Suri, **Timings: **MWF 11:00-12:00

Introduction to classical measurement; Introduction to quantum mechanics through measurement, the quantum measurement postulate and its consequences, standard quantum limits (SQL); Types of measurements: Direct and indirect measurements, orthogonal, non-orthogonal, quantum non-demolition measurements; Linear measurements and amplification; Beyond the SQL: Parametric amplification; Case studies of measurement: Quantised charge measurement, single photon detection, non-demolition method for photon quadrature measurements etc.; Control of single quantum systems; Introduction to decoherence: Decoherence as measurement by environment, characterising decoherence in qubits; Openloop control and stabilisation of qubit states.

- Braginsky V.B. and Khalili F.Y., Quantum Measurement, Cambridge University Press, 1992.
- Wiseman H.M. and Milburn G.J., Quantum Measurement and Control, Cambridge University Press, 2014.
- Landau L.D. and Lifschitz E.M., Mechanics, Third edition, Butterworth-Heinemann, 1982.

**QT 204 (JAN) Introduction to Materials for Quantum Technologies (3:0)**

Prerequisite: Basic quantum mechanics and solid state physics

**Instructor:** Chandni U., Navaneetha Ravichandran, Pavan Nukala, Anshu Pandey, **Timings: **TuTh 11:30-13:00

Recap of basic solid-state physics: Electronic band structure, phonon band structure, electron-phonon interactions, electron transport and modeling in nanoscopic devices; Topology and quantum devices: Semiconductor heterostructures, two-dimensional electron systems, topological materials, introduction to superconductivity; Correlations and disorder: Electron-electron interactions, Peierls distortion and transition, disorder physics, Anderson localization, quantum devices through correlations, magnetic materials, dielectric materials and ferroelectrics, phase transitions;

Optics and optical materials: Light-matter Interaction, introduction to nonlinear optical materials, optical properties of semiconductors and metals, properties of nanostructured materials, plasmonics.

- Ashcroft N.W. and Mermin N.D., Solid State Physics, Cengage, 2003.
- Ziman J.M., Electrons and phonons: The Theory of Transport Phenomena in Solids, Oxford University Press, 2001.
- Mott N.F. and Davis E.A., Electronic Processes in Non-Crystalline Materials, Oxford University Press, 2012.

**QT 306 (JAN) Advanced Quantum Computation and Information (3:0)**

Prerequisite: Introduction to Quantum Computation (QT 207)

**Instructor:** Apoorva Patel, **Timings: **MWF 12:00-13:00

Algorithms for noisy intermediate scale quantum systems; Variational techniques, approximation methods; Sampling and classification problems, machine learning; Quantum error correction; Stabiliser codes, topological codes; Quantum hardware platforms: NMR, superconducting transmons, atom and ion traps, quantum dots and impurities, quantum photonics.

- 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

**E0 213 (JAN) Quantum-safe Cryptography (3:0)**

Prerequisite: Introduction to Quantum Computation (QT 207), Good mathematical understanding.

**Instructor:** Sanjit Chatterjee, **Timings: **TuTh 15:30-17:00

Introduction to cryptography and communication security; Symmetric key and asymmetric key cryptosystems for data encryption and authentication; Impact of quantum computing on currently deployed cryptosystems; Some candidate post-quantum public key encryption and digital signature schemes: Error correcting codes, Lattices, Isogeny over elliptic curves, Multivariate polynomials over finite fields, Cryptographic hash functions; Protocols for quantum-safe secure communications.

Bernstein D.J., Buchmann J. and Dahmen E. (Eds.): Post-Quantum Cryptography, Springer, 2010.

Galbraith S.D., Mathematics of Public Key Cryptography, Cambridge University Press, 2012.

Menezes A.J., van Oorshot P.C. and Vanstone S.A., Handbook of Applied Cryptography, CRC Press, 1996.

**QT 312 (JAN) Advanced Quantum Technology Laboratory (1:2)**

Prerequisite: Basic Quantum Technology Laboratory (QT 211)

**Instructor:** Baladitya Suri, **Timings: **Weekday afternoons

Digital to analog and analog to digital conversion; Noise spectral measurements, Johnson noise, Nyquist noise; Linear amplification, parametric amplification; Design of circuit Quantum Electrodynamics architectures in coplanar and 3D styles; Quantum optics; Simulations of multiqubit architectures using Qiskit and QuTiP; Quantum algorithm simulations; Randomised benchmarking.

- Nielsen M.A. and Chuang I.L., Quantum Computation and Quantum Information, Cambridge University Press, 2000.
- Gardiner C.W. and Zoller P., Quantum Noise, Third edition, Springer, 2010.
- Walls D.F. and Milburn G.J., Quantum Optics, Second edition, Springer, 2010.
- Pozer D.M., Microwave Engineering, Fourth edition, Wiley, 2013.
- Horowitz P. and Hill W., The Art of Electronics, Second edition, Cambridge University Press, 2006.

**QT 299 Project (20)**

Project for M.Tech. in quantum technology.

- Physics
- Mathematics
- Computer Science

- Rohde and Schwarz India (laboratory equipment)
- Keysight Technologies India (laboratory equipment)
- IBM Quantum (through IBM Educators Program)