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Quantum Algorithms and Quantum Circuits
Quantum Computing

Course Overview

This course delivers an in-depth study of the most important quantum algorithms and their circuit-level implementations. From exponential speedup with Shor factoring algorithm to variational quantum algorithms for near-term hardware.

Who Is This For & Prerequisites

  • Quantum Computing with Qubits and Quantum Gates
  • Knowledge of linear algebra and probability theory

What You'll Learn

Implement Grover search algorithm with custom oracle design
Understand and implement Shor prime factoring algorithm
Design Quantum Fourier Transform circuits
Apply QAOA to combinatorial optimization problems
Implement VQE for quantum chemistry simulation

Curriculum

1Quantum Algorithm Foundations
  • Computational complexity basics
  • Quantum speedup categories
  • Oracle-based computation
  • Query complexity
2Grover Search Algorithm
  • Grover oracle construction
  • Amplitude amplification
  • Optimal iteration count
  • Multi-target Grover
3Quantum Fourier Transform
  • Discrete Fourier transform review
  • QFT circuit construction
  • Phase estimation algorithm
  • Inverse QFT
4Shor Factoring Algorithm
  • Period finding problem
  • Continued fractions
  • Quantum phase estimation for order finding
  • Full Shor circuit
5Variational Quantum Eigensolver (VQE)
  • Parametric circuits (ansatz)
  • Classical-quantum optimization loop
  • Energy minimization
  • Molecule simulation
6QAOA for Optimization
  • MaxCut problem formulation
  • QAOA circuit layers
  • Parameter optimization
  • Approximation ratio analysis
7Quantum Simulation Algorithms
  • Hamiltonian simulation
  • Trotter decomposition
  • Product formulas
  • LCU method overview
8Algorithm Implementation Lab
  • Full Grover implementation
  • Shor for small primes
  • VQE for H2 molecule
  • QAOA for 4-node MaxCut

Course Details

Duration
45 Hours
Delivery
Instructor-Led, Virtual Live, Onsite
Labs
Included
Certificate
Yes

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AdvancedLabsCertification

Quantum Algorithms and Quantum Circuits

Duration45 Hours
FormatInstructor-Led, Virtual Live, Onsite
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