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Jaideep Mulherkar
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Jaideep Mulherkar
  • Home
  • Research
  • Teaching
  • Video courses
  • Students
  • Publications
  • More
    • Home
    • Research
    • Teaching
    • Video courses
    • Students
    • Publications

Module 1: Basics  

Double slit experiment Mach-Zehnder interferometer Postulates of quantum mechanics

Bloch sphere Quantum gates Measurement postulate

Entanglement Uncertainty principle No cloning theorem

Mixed states Reduced density matrix Quantum gates and the Bloch sphere

Universal gates CHSH game Elitzur Vaidman bomb

Module 2: Basic quantum algorithms

Superdense coding   Teleportation         Deutsch algorithm

Deutsch-Jozsa algorithm   Berstein-Vazirani algorithm                 Simon's algorithm

Analysis of Deutsch-Jozsa     Phase kick back                 Generalized Simon

Module 3: Quantum Fourier transform 

Discrete Fourier transform     Quantum Fourier transform             QFT circuit

Phase estimation I     Phase estimation II             Order finding I

Order finding II     Order finding III     Order finding IV

Factoring     Hidden subgroup problem

Module 4: Grover's search

Grover's search algorithm     Grover's search analysis     Grover's search circuit

Inversion about mean     Grover using spectral analysis     Optimality of Grover's search

Amplitude amplification     Randomized classical counting     Quantum counting

Quantum counting analysis

Module 5: Advanced topics

Classical error correction     QEC-Bit and Phase flip codes     Shor's 9 qubit quantum code

Fault tolerance     Hamiltonian simulation             Quantum walks

HHL algorithm

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