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Course Detail

Course Name Fundamentals of Quantum Computation & Information
Course Code 24PHY553
Credits 3
Campus Coimbatore

Syllabus

Unit I

Learning Objectives

After completing this unit, student will be able to

LO1– Learn the usage of qubits, teleportation protocol.

LO2– Understand the logics of few quantum algorithms

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Fundamental concepts: Quantum bits, Quantum computations- single and multiple qubit gates, quantum circuits, Bell states, basics of quantum teleportation. Quantum Algorithms- Classical computations on a quantum computer, Quantum parallelism, Deutsch’s and Deutsch- Jozsa algorithm, experimental quantum information processing.

Unit II

Learning Objectives

After completing this unit, student will be able to

LO1– Learn and understand the mathematical tools of quantum logics

LO2– Understand the basics of entanglement and its significance in quantum communications

The postulates of quantum mechanics: State space, Evolution, Quantum measurements, Distinguishing quantum states, Projective measurements, POVM measurements, Phase, Composite systems.

superdense coding, The density operator, The Schmidt decomposition and purifications, EPR and the Bell inequality.

Unit III

Learning Objectives

After completing this unit, student will be able to

LO1– Learn to construct the quantum circuits.

Quantum circuits: Quantum algorithms, Single qubit operations. Controlled operations, Measurement, Universal quantum gates, Two-level unitary gates are universal, Single qubit and CNOT gates are universal, A discrete set of universal operations, Quantum computational complexity, Simulation of quantum systems.

Unit IV

Learning Objectives

After completing this unit, student will be able to

LO1– Learn to usage Fourier transforms formalism in quantum domain.

The quantum Fourier transform and its applications: Phase estimation, order-finding and factoring, General applications.

Unit V

Learning Objectives

After completing this unit, student will be able to

LO1– Learn method being used to develop qubits

Quantum computers: physical realization: Guiding principles, Conditions for quantum computation, Harmonic oscillator quantum computer, Optical photon quantum computer, Optical cavity quantum electrodynamics, Other implementation schemes.

Objectives and Outcomes

Pre-requisites: Basics of quantum Mechanics

Course Objectives

Having successfully completed this module, the student will be able understanding logic of quantum computations, quantum gates, quantum circuits, quantum computers and the background of mathematical tools required for the above logics.

Course Outcomes

At the end of the course students will be able to

CO1: Understand the logic mathematical tools behind the quantum computations.

CO2: Acquire knowledge in developing quantum circuits

CO3: Understand the logic in physical realization of quantum computers

Skills: Students will be able to developed skills in quantum circuit development and quantum Fourier transforms.

CO-PO Mapping

PO1

PO2

PO3

PO4

PO5

PO6

PO7

PO8

PO9

PO10

PO11

PO12

PSO1

PSO2

PSO3

PSO4

CO1

3

2

3

3

CO2

3

3

3

3

CO3

3

3

3

3

Evaluation Pattern

Evaluation Pattern

Assessment

Internal

External

Semester

Mid-term

30

*Continuous Assessment (CA)

20

End Semester

50

*CA – Can be Quizzes, Assignment, Projects, and Reports.

Justification for CO-PO mapping

Mapping

Justification

Affinity level

CO1-PO1

CO1 is related to understand the tools and logics of the Quantum information and computations which improvise the understanding level of students. Thus the affinity level is 3.

3

CO1-PO2

Since PO2 is related to problem analysis and CO1 gives concepts in solving problems. Thus the affinity is given as 2.

2

CO2-PO1

CO2 is related to developing the circuits . Hence the affinity level is 3.

3

CO2-PO2

As CO2 is also related to developing circuits and PO2 is also related to developing analytical skills, the affinity level between them is 3.

3

CO3-PO1

Since PO1 is related to acquiring knowledge in information fundamentals. CO3 has maximum affinity 3 when mapped with PO1.

3

CO3-PO2

CO3 is related to problem solving skills. Since PO2 is related to improving analytical skills, CO3 has maximum affinity to PO2 and hence given an affinity level of 3.

3

CO1-PSO1

PSO1 is related demonstrate proficiency in mathematics and the mathematical concepts needed for a proper understanding of physics. Hence the affinity level is 3.

3

CO1-PSO2

PSO2 is related to apply basic physics knowledge to analyze a variety of physical phenomena and related subjects. Hence the affinity level is 3.

3

CO2-PSO1

CO2 is related to recognize the differences among competing quantum logical theories, which map completely with PSO1. So the affinity level is 3.

3

CO2-PSO2

Since PSO2 is related to improving knowledge which is essential to understand quantum information logics. Hence the affinity level between CO2 and PSO2 is 3 instead of 2 or 1.

3

CO3-PSO1

Since CO3 is related to analyze and solve problems related to computing and information. CO3-PSO1 mapping has the affinity level 3.

3

CO3-PSO2

The affinity level between CO3 and PSO2 is 3 since CO3 deals with solve which eventually improves the analytical skills of students.

3

Text Books / References

Text Book and References:

  1. Michael A. Nielsen & Isaac L. Chuang, “Quantum Computation and Quantum Information” 10th Anniversary Edition, Cambridge University Press, 2010.
  2. Mikio Nakahara and Tetsuo Ohmi, “Quantum Computing (From Linear algebra to Physical Realization)”, CRC Press, Taylor &Francies Group, 2008.

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