Introduction to Quantum Computing
introduction-to-quantum-computing
Syllabus
Faculty: Dr.Ashok Misra
Course Syllabus
Practice 1: IBM Qiskit Environment setup and Program Execution.
Practice 2: Design of Quantum Circuits.
Project 1: Carry out simple arithmetic in Python using loop, conditional statements, randomness, call and use NUMPY, MATPLOTLIB, SCIPY libraries.
Project 2:
Flip Class: Vector, Vector Space, State Vector, Hilbert Space, Quantum States, Quantum Gate.
Assignment i:
Plot Bloch Sphere and represent Quantum Gate operations on quantum states in Bloch Spheres.
Project 3:
Flip Class: Eigen Values and Eigen Vectors, Hermitian, Skew-Hermitian and Unitary Matrices.
Assignment ii: Find Eigen Values and Eigen Vectors of Matrices.
Practice 3: Implementation of Single Qubit Gates-I: The Pauli Gates, Digression, Hadamard Gate.
Practice 4: Implementation of Single Qubit Gates-II: The Rϕ-gate, I, S and T-Gates.
Practice 5: Implementation of Multiple Qubits and Entangled States.
Project 4: Create a quantum circuit that produces four Bell States of a 2-Qubit system. Use the state vector simulator to verify your result.
Practice 6: Simulate Quantum Teleportation Protocol using QASM Simulator.
Project 5: Simulate Teleportation Protocol using State Vector Simulator and on a Real Quantum Computer. Obtain a comparative study.
Practice 7: Simulate Superdense Coding Protocol.
Project 6: Simulate Superdense Coding Protocol on a Real Quantum Computer and compare the results with that of obtained using Simulator.
Practice 8: Use Deutsch-Josza Algorithm to create a balanced or constant oracle of a different form.
Project 7:
Flip Class: Simon’s Periodicity Algorithm.
Assignment iii: Test Simon oracle for 2 qubits with the secret string s=11 on a Simulator and Real Quantum Computer. Obtain a comparative study.
Practice 9: Implement Grover’s Algorithm to find two marked 3-qubit states.
Practice 10: Quantum Key Distribution.
Practice 11: Applied Quantum Algorithm-I: Solving Linear Systems of Equations.
Practice 12: Applied Quantum Algorithm-II: Solving Satisfiability Problems using Grover's Algorithm.
Project 8: Solve t
he 3SAT pr
oblem
f(x1, x2,x3)=( x1∨x2∨¬x3)∧(¬ x1∨¬ x2∨¬x3)∧(¬ x1∨ x2∨x3).
Textbook:
Sessions 1 & 2Practice 1: IBM Qiskit Environment setup and Program Execution.Sessions 3 & 4Practice 2: Design of Quantum Circuits.Sessions 5 & 6
Sessions 7 & 8
Project 2:
Flip Class:
Vector, Vector Space, State Vector, Hilbert Space, Quantum States, Quantum Gate.
Assignment i:
Plot Bloch Sphere and represent Quantum Gate operations on quantum states in Bloch Spheres.
Sessions 9,10 & 11
Project 3:
Flip Class:
Eigen Values and Eigen Vectors, Hermitian, Skew-Hermitian and Unitary Matrices.
Assignment ii:
Find Eigen Values and Eigen Vectors of Matrices.
Sessions 12 & 13
Practice 3:
Implementation of Single Qubit Gates-I:
The Pauli Gates
,
Digression
,
Hadamard Gate
.
Sessions 14 & 15Practice 4: Implementation of Single Qubit Gates-II: The Rϕ-gate, I, S and T-Gates.Sessions 16 & 17
Practice 5:
Implementation of Multiple Qubits and Entangled States.
Sessions 18 & 19Project 4: Create a quantum circuit that produces four Bell States of a 2-Qubit system. Use the state vector simulator to verify your result.Sessions 20 & 21Practice 6: Simulate Quantum Teleportation Protocol using QASM Simulator.Sessions 22 & 23Project 5: Simulate Teleportation Protocol using State Vector Simulator and on a Real Quantum Computer. Obtain a comparative study.Sessions 24 & 25Practice 7: Simulate Superdense Coding Protocol.Sessions 26 & 27Project 6: Simulate Superdense Coding Protocol on a Real Quantum Computer and compare the results with that of obtained using Simulator.Sessions 28 & 29Practice 8: Use Deutsch-Josza Algorithm to create a balanced or constant oracle of a different form.Sessions 30 & 31Project 7:
Flip Class: Simon’s Periodicity Algorithm.
Assignment iii: Test Simon oracle for 2 qubits with the secret string s=11 on a Simulator and Real Quantum Computer. Obtain a comparative study.Sessions 32 & 33Practice 9: Implement Grover’s Algorithm to find two marked 3-qubit states.Sessions 34 & 35
Practice 10:
Quantum Key Distribution.
Sessions 36 & 37
Practice 11: Applied Quantum Algorithm-I: Solving Linear Systems of Equations.
Sessions 38 & 39Practice 12: Applied Quantum Algorithm-II: Solving Satisfiability Problems using Grover's Algorithm.Sessions 40 & 41Project 8: Solve the 3SAT problem f(x1, x2,x3)=( x1∨x2∨¬x3)∧(¬ x1∨¬ x2∨¬x3)∧(¬ x1∨ x2∨x3).
Course Name : Introduction to Quantum Computing
Code(Credit) : ABC01(0-2-2)
Course Objectives
- To introduce the fundamentals of Quantum Computation by problem solving approach using Qiskit.
Learning Outcomes
- To simulate using Quantum computing with Python programming language in local computer.
- To design and validate simulation quantum circuits for various standard procedures of Quantum Computing.
- To work with the real time Quantum Computer.
Course Syllabus
Practice 1: IBM Qiskit Environment setup and Program Execution.
Practice 2: Design of Quantum Circuits.
Project 1: Carry out simple arithmetic in Python using loop, conditional statements, randomness, call and use NUMPY, MATPLOTLIB, SCIPY libraries.
Project 2:
Flip Class: Vector, Vector Space, State Vector, Hilbert Space, Quantum States, Quantum Gate.
Assignment i:
Plot Bloch Sphere and represent Quantum Gate operations on quantum states in Bloch Spheres.
Project 3:
Flip Class: Eigen Values and Eigen Vectors, Hermitian, Skew-Hermitian and Unitary Matrices.
Assignment ii: Find Eigen Values and Eigen Vectors of Matrices.
Practice 3: Implementation of Single Qubit Gates-I: The Pauli Gates, Digression, Hadamard Gate.
Practice 4: Implementation of Single Qubit Gates-II: The Rϕ-gate, I, S and T-Gates.
Practice 5: Implementation of Multiple Qubits and Entangled States.
Project 4: Create a quantum circuit that produces four Bell States of a 2-Qubit system. Use the state vector simulator to verify your result.
Practice 6: Simulate Quantum Teleportation Protocol using QASM Simulator.
Project 5: Simulate Teleportation Protocol using State Vector Simulator and on a Real Quantum Computer. Obtain a comparative study.
Practice 7: Simulate Superdense Coding Protocol.
Project 6: Simulate Superdense Coding Protocol on a Real Quantum Computer and compare the results with that of obtained using Simulator.
Practice 8: Use Deutsch-Josza Algorithm to create a balanced or constant oracle of a different form.
Project 7:
Flip Class: Simon’s Periodicity Algorithm.
Assignment iii: Test Simon oracle for 2 qubits with the secret string s=11 on a Simulator and Real Quantum Computer. Obtain a comparative study.
Practice 9: Implement Grover’s Algorithm to find two marked 3-qubit states.
Practice 10: Quantum Key Distribution.
Practice 11: Applied Quantum Algorithm-I: Solving Linear Systems of Equations.
Practice 12: Applied Quantum Algorithm-II: Solving Satisfiability Problems using Grover's Algorithm.
Project 8: Solve t
he 3SAT pr
oblem
f(x1, x2,x3)=( x1∨x2∨¬x3)∧(¬ x1∨¬ x2∨¬x3)∧(¬ x1∨ x2∨x3).
Textbook:
- Learn Quantum Computation using Qiskit, Qiskit-Text Book.
Session Plan
Sessions 1 & 2Practice 1: IBM Qiskit Environment setup and Program Execution.Sessions 3 & 4Practice 2: Design of Quantum Circuits.Sessions 5 & 6
Project 1:
Carry out simple arithmetic in Python using loop, conditional statements, randomness, call and use NUMPY, MATPLOTLIB, SCIPY libraries.
Sessions 7 & 8
Project 2:
Flip Class:
Vector, Vector Space, State Vector, Hilbert Space, Quantum States, Quantum Gate.
Assignment i:
Plot Bloch Sphere and represent Quantum Gate operations on quantum states in Bloch Spheres.
Sessions 9,10 & 11
Project 3:
Flip Class:
Eigen Values and Eigen Vectors, Hermitian, Skew-Hermitian and Unitary Matrices.
Assignment ii:
Find Eigen Values and Eigen Vectors of Matrices.
Sessions 12 & 13
Practice 3:
Implementation of Single Qubit Gates-I:
The Pauli Gates
,
Digression
,
Hadamard Gate
.
Sessions 14 & 15Practice 4: Implementation of Single Qubit Gates-II: The Rϕ-gate, I, S and T-Gates.Sessions 16 & 17
Practice 5:
Implementation of Multiple Qubits and Entangled States.
Sessions 18 & 19Project 4: Create a quantum circuit that produces four Bell States of a 2-Qubit system. Use the state vector simulator to verify your result.Sessions 20 & 21Practice 6: Simulate Quantum Teleportation Protocol using QASM Simulator.Sessions 22 & 23Project 5: Simulate Teleportation Protocol using State Vector Simulator and on a Real Quantum Computer. Obtain a comparative study.Sessions 24 & 25Practice 7: Simulate Superdense Coding Protocol.Sessions 26 & 27Project 6: Simulate Superdense Coding Protocol on a Real Quantum Computer and compare the results with that of obtained using Simulator.Sessions 28 & 29Practice 8: Use Deutsch-Josza Algorithm to create a balanced or constant oracle of a different form.Sessions 30 & 31Project 7:
Flip Class: Simon’s Periodicity Algorithm.
Assignment iii: Test Simon oracle for 2 qubits with the secret string s=11 on a Simulator and Real Quantum Computer. Obtain a comparative study.Sessions 32 & 33Practice 9: Implement Grover’s Algorithm to find two marked 3-qubit states.Sessions 34 & 35
Practice 10:
Quantum Key Distribution.
Sessions 36 & 37
Practice 11: Applied Quantum Algorithm-I: Solving Linear Systems of Equations.
Sessions 38 & 39Practice 12: Applied Quantum Algorithm-II: Solving Satisfiability Problems using Grover's Algorithm.Sessions 40 & 41Project 8: Solve the 3SAT problem f(x1, x2,x3)=( x1∨x2∨¬x3)∧(¬ x1∨¬ x2∨¬x3)∧(¬ x1∨ x2∨x3).
Case Studies
Case Studies
Session plan & materials
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