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دسته بندی دوره ها

Quantum Computing from Beginner to Expert

سرفصل های دوره

Learning Quantum Computing through Linear Algebra


1. Fundamentals Introduction of Quantum Computing
  • 1.1 Lecture 1 Introduction.pdf
  • 1. Introduction
  • 2.1 Lecture 2 A Brief History of Quantum Computing.pdf
  • 2. A Brief History of Quantum Computing
  • 3.1 Lecture 3 Main Application Areas.pdf
  • 3. Main Application Areas

  • 2. Fundamentals Complex Numbers and Linear Algebra
  • 1.1 Lecture 1 Complex Numbers.pdf
  • 1. Complex Numbers
  • 2.1 Lecture 2 Relationship between Complex Numbers and Vectors.pdf
  • 2. Relationship between Complex Numbers and Vectors
  • 3.1 Lecture 3 Hilbert Space and Euclidean Space Conversion.pdf
  • 3. Hilbert Space and Euclidean Space Conversion
  • 4.1 Lecture 4 Comparison of Matrix Types.pdf
  • 4. Comparison of Matrix Types
  • 5.1 Lecture 5 Symmetric Matrix and Hermitian Matrix.pdf
  • 5. Symmetric Matrix and Hermitian Matrix
  • 6.1 Lecture 6 Orthogonal Matrix and Unitary Matrix.pdf
  • 6. Orthogonal Matrix and Unitary Matrix

  • 3. Fundamentals Quantum Bits (Qubits)
  • 1.1 Lecture 1 Dirac notation.pdf
  • 1. Dirac notation
  • 2.1 Lecture 2 Single Qubit.pdf
  • 2. Single Qubit
  • 3.1 Lecture 3 Multi-Qubit System.pdf
  • 3. Multi-Qubit System

  • 4. Fundamentals Bloch Sphere
  • 1.1 Lecture 1 Introduction.pdf
  • 1. Introduction
  • 2.1 Lecture 2 Global Phase.pdf
  • 2. Global Phase
  • 3.1 Lecture 3 Dimension Reduction.pdf
  • 3. Dimension Reduction
  • 4.1 Lecture 4 Half Angles.pdf
  • 4. Half Angles
  • 5.1 Lecture 5 Bloch Sphere.pdf
  • 5. Bloch Sphere

  • 5. Fundamentals Basic Logic Gates for Single Qubit
  • 1.1 Lecture 1 Unitary Transformation.pdf
  • 1. Unitary Transformation
  • 2.1 Lecture 2 Hermitian Conjugate Operator - Common Formulas.pdf
  • 2. Hermitian Conjugate Operator - Common Formulas
  • 3.1 Lecture 3 How to calculate the unitary transformation matrix for a single qubit.pdf
  • 3. How to calculate the unitary transformation matrix for a single qubit
  • 4.1 Lecture 4 Hadamard Gate.pdf
  • 4. Hadamard Gate
  • 5.1 Lecture 5 Pauli Operator.pdf
  • 5. Pauli Operator
  • 6.1 Lecture 6 Pauli-X Gate.pdf
  • 6. Pauli-X Gate
  • 7.1 Lecture 7 Pauli-Y Gate.pdf
  • 7. Pauli-Y Gate
  • 8.1 Lecture 8 Pauli-Z Gate.pdf
  • 8. Pauli-Z Gate

  • 6. Fundamentals Rotation Logic Gates for Single Qubit
  • 1.1 Lecture 1 Exponential Function of Matrices.pdf
  • 1. Exponential Function of Matrices
  • 2.1 Lecture 2 Generator - Pauli Matrices.pdf
  • 2. Generator - Pauli Matrices
  • 3.1 Lecture 3 Density Operator (Matrix).pdf
  • 3. Density Operator (Matrix)
  • 4.1 Lecture 4 3D Rotations in Four-Dimensional Space.pdf
  • 4. 3D Rotations in Four-Dimensional Space
  • 5.1 Lecture 5 RX Gate.pdf
  • 5. RX Gate
  • 6.1 Lecture 6 RY Gate.pdf
  • 6. RY Gate
  • 7.1 Lecture 7 RZ Gate.pdf
  • 7. RZ Gate

  • 7. Fundamentals Multi-Qubit Logic Gates
  • 1.1 Lecture 1 Tensor Product.pdf
  • 1. Tensor Product
  • 2.1 Lecture 2 How to calculate the unitary transformation matrix for a two-qubit system.pdf
  • 2. How to calculate the unitary matrix for a two-qubit system
  • 3.1 Lecture 3 CNOT Gate.pdf
  • 3. CNOT Gate
  • 4.1 Lecture 4 SWAP Gate .pdf
  • 4. SWAP Gate
  • 5.1 Lecture 5 How to calculate the unitary transformation matrix for a three-qubit system.pdf
  • 5. How to calculate the unitary matrix for a three-qubit system
  • 6.1 Lecture 6 Toffoli (CCNOT) Gate.pdf
  • 6. Toffoli (CCNOT) Gate
  • 7.1 Lecture 7 Fredkin (CSWAP) Gate.pdf
  • 7. Fredkin (CSWAP) Gate

  • 8. Fundamentals Quantum Measurement
  • 1.1 Lecture 1 Measurement and Collapse.pdf
  • 1. Measurement and Collapse
  • 2.1 Lecture 2 The Hermitian adjoint operator and common formulas.pdf
  • 2. The Hermitian adjoint operator and common formulas
  • 3.1 Lecture 3 Normal Matrix.pdf
  • 3. Normal Matrix
  • 4.1 Lecture 4 Completeness Equation.pdf
  • 4. Completeness Equation
  • 5.1 Lecture 5 Projection Operator.pdf
  • 5. Projection Operator
  • 6.1 Lecture 6 Projective Measurements.pdf
  • 6. Projective Measurements
  • 7.1 Lecture 7 Measurement of a Single Qubit.pdf
  • 7. Measurement of a Single Qubit
  • 8.1 Lecture 8 Measurement of a Two-qubit System.pdf
  • 8. Measurement of a Two-qubit System

  • 9. Fundamentals Quantum Circuits
  • 1.1 Lecture 1 Introduction to Quantum Circuits.pdf
  • 1. Introduction to Quantum Circuits
  • 2.1 Lecture 2 X Gate, Y Gate, Z Gate, H Gate.pdf
  • 2. X Gate, Y Gate, Z Gate, H Gate
  • 3.1 Lecture 3 RX Gate, RY Gate, RZ Gate.pdf
  • 3. RX Gate, RY Gate, RZ Gate
  • 4.1 Lecture 4 CNOT Gate, SWAP Gate, Toffoli Gate.pdf
  • 4. CNOT Gate, SWAP Gate, Toffoli Gate

  • 10. Algorithms Hadamard Test SWAP Test
  • 1.1 Lecture 1 Quantum entanglement.pdf
  • 1. Quantum entanglement
  • 2.1 Lecture 2 Hadamard Test - Real part.pdf
  • 2. Hadamard Test - Real part
  • 3.1 Lecture 3 Hadamard Test Imaginary part.pdf
  • 3. Hadamard Test Imaginary part
  • 4.1 Lecture 4 SWAP Test.pdf
  • 4. SWAP Test

  • 11. Algorithms Amplitude Amplification
  • 1.1 Lecture 1 2D Geometric Transformations .pdf
  • 1. 2D Geometric Transformations
  • 2.1 Lecture 2 Transformation in Arbitrary Dimensions.pdf
  • 2. Transformation in Arbitrary Dimensions
  • 3.1 Lecture 3 Introduction to Amplitude Amplification.pdf
  • 3. Introduction to Amplitude Amplification
  • 4.1 Lecture 4 Amplitude Amplification Operator .pdf
  • 4. Amplitude Amplification Operator

  • 12. Algorithms Quantum Fourier Transform
  • 1.1 Lecture 1 Fourier series And Fourier transform.pdf
  • 1. Fourier series And Fourier transform
  • 2.1 Lecture 2 FT, DFT, IDFT.pdf
  • 2. Fourier Transform, DFT, IDFT
  • 3.1 Lecture 3 Quantum Fourier Transform.pdf
  • 3. Quantum Fourier Transform

  • 13. Algorithms Quantum Phase Estimation
  • 1.1 Lecture 1 Introduction.pdf
  • 1. Introduction
  • 2.1 Lecture 2 Quantum Circuit.pdf
  • 2. Quantum Circuit
  • 3.1 Lecture 3 Quantum Phase Estimation - Steps.pdf
  • 3. Quantum Phase Estimation - Steps

  • 14. Algorithms Quantum Arithmetic Operations
  • 1.1 Lecture 1 Logic Gates.pdf
  • 1. Logic Gates
  • 2.1 Lecture 2 One-bit Adder.pdf
  • 2. One-bit Adder
  • 3.1 Lecture 3 Multi-bit Adder.pdf
  • 3. Multi-bit Adder
  • 4.1 Lecture 4 Quantum Subtractor,Multiplier,Divider.pdf
  • 4. Quantum Subtractor,Multiplier,Divider

  • 15. Algorithms HHL Algorithm
  • 1.1 Lecture 1 Overview of HHL Quantum Algorithm.pdf
  • 1. Overview of HHL Quantum Algorithm
  • 2.1 Lecture 2 HHL Algorithm Quantum Circuit.pdf
  • 2. HHL Algorithm Quantum Circuit

  • 16. Algorithms Deutsch-Josza Algorithm
  • 1.1 Lecture 1 DeutschJozsa Problem.pdf
  • 1. DeutschJozsa Problem
  • 2.1 Lecture 2 Oracle - Quantum Circuit.pdf
  • 2. Oracle - Quantum Circuit
  • 3.1 Lecture 3 Oracle - Simplification of Quantum Circuits.pdf
  • 3. Oracle - Simplification of Quantum Circuits
  • 4.1 Lecture 4 Deutsch Algorithm.pdf
  • 4. Deutsch Algorithm
  • 5.1 Lecture 5 Deutsch-Jozsa Algorithm.pdf
  • 5. Deutsch-Jozsa Algorithm

  • 17. Algorithms Grover Algorithm
  • 1.1 Lecture 1 Reflection and Mirror Transformation.pdf
  • 1. Reflection and Mirror Transformation
  • 2.1 Lecture 2 Grovers Search Algorithm.pdf
  • 2. Grovers Search Algorithm
  • 3.1 Lecture 3 Grover Algorithm - Two Qubits.pdf
  • 3. Grover Algorithm - Two Qubits
  • 4.1 Lecture 4 Grover Algorithm - N Qubits.pdf
  • 4. Grover Algorithm - N Qubits
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    تاریخ انتشار: ۲۹ خرداد ۱۴۰۲
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