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Home / Syllabus / B.E. (Artificial Intelligence and Data Science) / Fourth Year BE AI and DS / Semester 8 / Quantum Computing

B.E. (Artificial Intelligence and Data Science) Quantum Computing Syllabus - Mumbai University

This is the Fourth Year BE AI and DS syllabus under CBCS REV-2019 'C' Scheme, in force from the academic year 2023-24. The University has published no NEP 2020 syllabus for Semesters V to VIII of any engineering branch, so this is the scheme you are examined on — exam form 1T01817 and 1T01818. The first and second years of the degree are on NEP 2020.

Quantum Computing.pdf
Semester 8 · Fourth Year BE AI and DS · 3 credits · CBCS REV-2019 'C' Scheme

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Syllabus for Quantum Computing

Semester 8 · Fourth Year BE AI and DS · 3 credits · CBCS REV-2019 'C' Scheme

Module 1.0 7 hours

  • 1.0 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.)
  • 2.0 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.
  • 3.0 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
  • 3.2 Programming model for a Quantum Computing Program Steps performed on classical computer
  • Steps performed on Quantum Computer Moving data between bits and qubits.
  • 4.0 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
  • 5.0 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.
  • 6.0 OSS Toolkits for implementing Quantum program
  • 6.1 IBM quantum experience Microsoft Q Rigetti PyQuil (QPU/QVM)

Text Books

  • 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

References

  • 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 Material

  • 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. (Artificial Intelligence and Data Science), item 6.12 (N), under CBCS REV-2019 'C' Scheme, in force from the academic year 2023-24. Wording, module numbering and hours are as printed in that syllabus.

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.

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