B.E. (Computer Engineering) Quantum Computing Syllabus - Mumbai University 2026

The University has moved this degree onto NEP 2020 one year at a time. The first and second years are NEP 2020 syllabi; the third and fourth years are still examined on the REV-2019 'C' Scheme, which is what the University sets for them this year.

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Syllabus for Quantum Computing

Semester 7 · Fourth Year CE

Module 1: Introduction to Quantum Computing

1.1 Motivation for studying Quantum Computing Origin of Quantum Computing Quantum Computer vs. Classical Computer Introduction to Quantum mechanics Overview of major concepts in Quantum Computing
1.2 Qubits and multi-qubits states Bloch Sphere representation Quantum Superposition Quantum Entanglement Major players in the industry (IBM, Microsoft, Rigetti, D-Wave etc.)

Module 2: Mathematical Foundations for Quantum Computing

2.1 Matrix Algebra: basis vectors and orthogonality, inner product and Hilbert spaces, matrices and tensors, unitary operators and projectors, Dirac notation, Eigen values and Eigen vectors.

Module 3: Building Blocks for Quantum Program

3.1 Architecture of a Quantum Computing platform Details of q-bit system of information representation: Block Sphere Multi-qubits States Quantum superposition of qubits (valid and invalid superposition) Quantum Entanglement Useful states from quantum algorithmic perceptive e.g. Bell State Operation on qubits: Measuring and transforming using gates. Quantum Logic gates and Circuit No Cloning Theorem and Teleportation Programming model for a Quantum Computing Program 3.2 Steps performed on classical computer Steps performed on Quantum Computer Moving data between bits and qubits.

Module 4: Quantum Algorithms and Error correction

4.1 Quantum Algorithms, Shor’s Algorithm, Grover’s Algorithm. Deutsch’s Algorithm, Deutsch -Jozsa Algorithm Quantum error correction using repetition codes 4.2 3 qubit codes, Shor’s 9 qubit error correction Code

Module 5: Quantum Hardware

5.1 Ion Trap Qubits ,The DiVincenzo Criteria , Lagrangian and Hamiltonian Dynamics in a Nutshell: Dynamics of a Translating
5.2 Rotor Quantum Mechanics of a Free Rotor: A Poor Person’s Atomic
5.3 Model: Rotor Dynamics and the Hadamard Gate, Two-Qubit Gates The Cirac-Zoller Mechanism: Quantum Theory of Simple Harmonic Motion, A Phonon-Qubit Pair Hamiltonian, Light Induced Rotor-Phonon Interactions, Trapped Ion Qubits, Mølmer Sørenson Coupling ..
5.4 Cavity Quantum Electrodynamics (cQED): Eigenstates of the Jaynes-Cummings Hamiltonian Circuit QED (cirQED): Quantum LC Circuits, Artificial Atoms, Superconducting Qubits Quantum computing with spins: Quantum inverter realized with two exchange coupled spins in quantum dots, A 2-qubit spintronic universal quantum gate.

Module 6: OSS Toolkits for implementing Quantum program

6.1 IBM quantum experience Microsoft Q Rigetti PyQuil (QPU/QVM)

Textbooks

1 Michael A. Nielsen, “Quantum Computation and Quantum Information”, Cambridge University Press.
2 David McMahon, “Quantum Computing Explained”, Wiley ,2008
3 Qiskit textbook https://qiskit.org/textbook-beta/
4 Vladimir Silva, Practical Quantum Computing for Developers,2018
1 Bernard Zygelman, A First Introduction to Quantum Computing and Information,2018
2 Supriyo Bandopadhyay and Marc Cahy, “Introduction to Spintronics”, CRC Press, 2008
3 The Second Quantum Revolution: From Entanglement to Quantum Computing and Other Super-Technologies, Lars Jaeger
4 La Guardia, Giuliano Gladioli “Quantum Error correction codes”Springer,2021 Digital References: https://onlinecourses.nptel.ac.in/noc21_cs103/preview https://www.coursera.org/courses?query=quantum%20computing https://www.cl.cam.ac.uk/teaching/1617/QuantComp/

Reproduced from the University of Mumbai syllabus for B.E. (Computer Engineering) under REV-2019 'C' Scheme, in force from the academic year 2022-23. Wording is as printed in that syllabus. Module numbering is as printed there too.

The complete syllabus

This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.

PDF 7.9 (R-A) B.E. (Computer Engineering) Sem I & II (Revised, NEP 2020) NEP 2020 syllabus Read full PDF Read

PDF 6.24 (N) B.E. (Computer Engineering) Sem III & IV (NEP 2020) NEP 2020 syllabus Read full PDF Read

PDF 6.15 B.E. (Computer Engineering) Third Year, Sem V & VI (REV-2019 'C' Scheme) REV-2019 'C' Scheme syllabus Read full PDF Read

PDF 6.41 (R) B.E. (Computer Engineering) Fourth Year, Sem VII & VIII (REV-2019 'C' Scheme) REV-2019 'C' Scheme syllabus Read full PDF Read

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