Course modules

Module 0 - Introduction to Quantum Computing - Math, Tech and Fundamentals

Module 0 - Introduction to Quantum Computing - Math, Tech and Fundamentals Module 0 - Introduction to Quantum Computing - Math, Tech and Fundamentals

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0.1 - Introduction to Quantum Computing to Computer Scientists 0.1 - Introduction to Quantum Computing to Computer Scientists 1

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0.2 - Material & Textbooks 0.2 - Material & Textbooks 2

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0.3 - A Brief History of Quantum Computing 0.3 - A Brief History of Quantum Computing 3

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0.4 - Quantum Supremacy 0.4 - Quantum Supremacy 4

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New quiz

Quiz I: Quantum Computing History & Quantum Supremacy Quiz I: Quantum Computing History & Quantum Supremacy 1 5

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Context Module Subheader

Mathematics for Quantum Computing 6

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Mat.1 - Complex Numbers - Definitions Mat.1 - Complex Numbers - Definitions 7

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Mat.2 - The Geometry of Complex Numbers - Cartesian & Polar Description Mat.2 - The Geometry of Complex Numbers - Cartesian & Polar Description 8

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Mat.3 - Complex Numbers for Quantum Computing Mat.3 - Complex Numbers for Quantum Computing 9

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Mat.4 - Inner Product, Norm & Distance Mat.4 - Inner Product, Norm & Distance 10

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New quiz

Quiz II: Complex Numbers in Quantum Computing Quiz II: Complex Numbers in Quantum Computing 1 11

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Mat.5 - Complex Matrices Mat.5 - Complex Matrices 12

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Mat.6 - Hermitian Matrices Mat.6 - Hermitian Matrices 13

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Mat.7 - Unitary Matrices Mat.7 - Unitary Matrices 14

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New quiz

Quiz III: Hermitian & Unitary Matrices Quiz III: Hermitian & Unitary Matrices 1 15

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Mat.7 - Tensor Product Mat.7 - Tensor Product 16

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Mat.8 - Entangled Vectors Mat.8 - Entangled Vectors 17

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New quiz

Quiz IV: Tensor Product and Entangled Vectors Quiz IV: Tensor Product and Entangled Vectors 1 18

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Context Module Subheader

The Qubit 19

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0.5 - Quantum States 0.5 - Quantum States 20

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0.6 - Bit & Qubit 0.6 - Bit & Qubit 21

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0.7 - The Bloch Sphere 0.7 - The Bloch Sphere 22

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New quiz

Quiz V: Qubit, Quantum States & Bloch Sphere Quiz V: Qubit, Quantum States & Bloch Sphere 1 23

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Context Module Subheader

Quantum Computing Technologies 24

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Tech.1 - An Overview of Quantum Computing Technologies Tech.1 - An Overview of Quantum Computing Technologies 25

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Tech.2 - Qubit Stability - Decoherence and Relaxation Times Tech.2 - Qubit Stability - Decoherence and Relaxation Times 26

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Tech.3 - The DiVincenzo Criteria - Requirements for Designing a Quantum Computing Tech.3 - The DiVincenzo Criteria - Requirements for Designing a Quantum Computing 27

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External URL

DiVincenzo Criteria - Article DiVincenzo Criteria - Article 28

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Tech.3 - Optional - The Transmon / Superconductor Technology Tech.3 - Optional - The Transmon / Superconductor Technology 29

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Tech.4 - Optional - Photon Quantum Technology Tech.4 - Optional - Photon Quantum Technology 30

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Tech.5 - Optional - Trapped Ion Technology Tech.5 - Optional - Trapped Ion Technology 31

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New quiz

Quiz VI: Quantum Computing Technologies Quiz VI: Quantum Computing Technologies 1 32

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Context Module Subheader

Programming Quantum Computers 33

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Prog.1 - Programming Quantum Computers Prog.1 - Programming Quantum Computers 34

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Prog.2 - Programming Quantum Computers with IBM Qiskit Prog.2 - Programming Quantum Computers with IBM Qiskit 35

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Tutorial - Colab and Qiskit Tutorial - Colab and Qiskit 36

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New quiz

Quiz VII: Programming Quantum Computers Quiz VII: Programming Quantum Computers 1 37

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Context Module Subheader

Discussion 38

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Discussion topic

Discussion - Introduction to Quantum Computing Discussion - Introduction to Quantum Computing 39

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Context Module Subheader

Assignment 40

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Assignment

Programming Assignment I: Quantum Hello World on a Quantum Computer and Simulator with Qiskit Programming Assignment I: Quantum Hello World on a Quantum Computer and Simulator with Qiskit 1 42

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Module I - QPU Instructions & Gates

Module I - QPU Instructions & Gates Module I - QPU Instructions & Gates

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1.0 - Introduction to Module II 1.0 - Introduction to Module II 1

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Quiz I: Concepts for Module II Quiz I: Concepts for Module II 1 2

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Context Module Subheader

Circle Notation 3

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1.1 - The Qubit Circular Notation 1.1 - The Qubit Circular Notation 4

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1.1.1 - Python Code for Circle Notation 1.1.1 - Python Code for Circle Notation 5

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New quiz

Quiz II: Circle Notation Quiz II: Circle Notation 1 6

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Context Module Subheader

Single Qubit QPU Instructions 7

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1.2 - NOT QPU Instruction 1.2 - NOT QPU Instruction 8

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Quiz III: NOT QPU Instruction Quiz III: NOT QPU Instruction 1 9

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1.3 - HAD QPU Instruction 1.3 - HAD QPU Instruction 10

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New quiz

Quiz IV: the HAD QPU Instruction Quiz IV: the HAD QPU Instruction 1 11

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1.4 - READ and WRITE QPU Instructions 1.4 - READ and WRITE QPU Instructions 12

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1.4.1 - Python Code for READ QPU Instruction on a QC Simulator 1.4.1 - Python Code for READ QPU Instruction on a QC Simulator 13

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Quiz V: the READ and WRITE QPU Instructions Quiz V: the READ and WRITE QPU Instructions 1 14

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1.5 - PHASE QPU Instruction 1.5 - PHASE QPU Instruction 15

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Page

1.6 - ROTX and ROTY QPU Instructions 1.6 - ROTX and ROTY QPU Instructions 16

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Page

1.7 - No COPY on QPU - Non-cloning Theory 1.7 - No COPY on QPU - Non-cloning Theory 17

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Page

1.8 - QPU Gate Equivalence 1.8 - QPU Gate Equivalence 18

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Context Module Subheader

Multiqubit QPU Instructions 19

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Page

1.9 - Multiqubit Systems & Entangles States 1.9 - Multiqubit Systems & Entangles States 20

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Page

1.10 - Operations on Multiqubit Systems 1.10 - Operations on Multiqubit Systems 21

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New quiz

Quiz VI: Multiqubit Systems and Operations Quiz VI: Multiqubit Systems and Operations 1 22

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Page

1.11 - CNOT QPU Instruction 1.11 - CNOT QPU Instruction 23

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Page

1.12 - Bell Pairs & Entanglement 1.12 - Bell Pairs & Entanglement 24

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New quiz

Quiz VII: CNOT and Bell's Pair Quiz VII: CNOT and Bell's Pair 1 25

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Page

1.13 - CPHASE & CZ QPU Instruction 1.13 - CPHASE & CZ QPU Instruction 26

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Page

1.14 - The Phase Kick-Back Quantum Circuit 1.14 - The Phase Kick-Back Quantum Circuit 27

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Quiz VIII: CPHASE & Phase Kickback Quiz VIII: CPHASE & Phase Kickback 1 28

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1.15 - The CCNOT/Toffoli and CSWAP/Fredkin QPU Instructions 1.15 - The CCNOT/Toffoli and CSWAP/Fredkin QPU Instructions 29

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Page

1.16 - The Swap Test Quantum Circuit 1.16 - The Swap Test Quantum Circuit 30

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New quiz

Quiz IX: CCNOT, CSWAP & Swap Test Quiz IX: CCNOT, CSWAP & Swap Test 1 31

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Context Module Subheader

Discussion 32

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Discussion topic

Discussion - QPU Instructions Discussion - QPU Instructions 33

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Module II: QPU Primitives

Module II: QPU Primitives Module II: QPU Primitives

Page

2.0 - Quantum Computing Primitives 2.0 - Quantum Computing Primitives 1

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Context Module Subheader

Quantum Arithmetics & Logic 2

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Page

2.1 - Introduction to Quantum Arithmetics 2.1 - Introduction to Quantum Arithmetics 3

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Page

2.2 - Quantum Increment and Decrement Operations 2.2 - Quantum Increment and Decrement Operations 4

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New quiz

Quiz I: Quantum Arithmetics and Increment/Decrement Operations Quiz I: Quantum Arithmetics and Increment/Decrement Operations 1 5

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Page

2.3 - Encoding Negative Integer Numbers with Quantum States 2.3 - Encoding Negative Integer Numbers with Quantum States 6

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Page

2.4 - Quantum Conditional Logic & Phase Encoding 2.4 - Quantum Conditional Logic & Phase Encoding 7

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Page

2.5 - Reversibility & Scratch Qubits & abs() 2.5 - Reversibility & Scratch Qubits & abs() 8

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New quiz

Quiz II: Encoding Integer Numbers, Quantum Conditionals, and Scratch Qubits Quiz II: Encoding Integer Numbers, Quantum Conditionals, and Scratch Qubits 1 9

lti-quiz 790914 1

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Context Module Subheader

Amplitude Amplification 10

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Page

2.6 -Flip + Mirror/Grover Primitives 2.6 -Flip + Mirror/Grover Primitives 11

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Page

2.7 - The AA Iteration 2.7 - The AA Iteration 12

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New quiz

Quiz III: Amplitude Amplification Quiz III: Amplitude Amplification 1 13

lti-quiz 790918 1

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Context Module Subheader

Quantum Fourier Transform 14

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Page

2.8 - Introduction to Quantum Fourier Transform 2.8 - Introduction to Quantum Fourier Transform 15

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Page

2.9 - QFT on Real-Valued Data, QFT Complexity and invQFT 2.9 - QFT on Real-Valued Data, QFT Complexity and invQFT 16

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New quiz

Quiz IV: QFT Quiz IV: QFT 1 17

lti-quiz 790922 1

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Context Module Subheader

Quantum Phase Estimation 18

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Page

2.10 - Eigenstates and Eigenphases of QPU Instructions 2.10 - Eigenstates and Eigenphases of QPU Instructions 19

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Page

2.11 - High-Level Circuit, Precision & Complexity 2.11 - High-Level Circuit, Precision & Complexity 20

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Page

2.12 - Implementation Details – invQFT & Phase Kickback 2.12 - Implementation Details – invQFT & Phase Kickback 21

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New quiz

Quiz VI: Quantum Phase Estimation Quiz VI: Quantum Phase Estimation 1 22

lti-quiz 790927 1

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Context Module Subheader

Discussion 23

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Discussion topic

Discussion - Quantum Primitives Discussion - Quantum Primitives 24

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Module III: QPU Applications

Module III: QPU Applications Module III: QPU Applications

Context Module Subheader

Quantum Data Encoding & QRAM 1

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Page

3.0 - Non-Integer Data Encoding in Quantum States 3.0 - Non-Integer Data Encoding in Quantum States 2

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New quiz

Quiz I: Non-Integer Data Encoding Quiz I: Non-Integer Data Encoding 1 3

lti-quiz 790934 1

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Page

3.1 - Quantum RAM - QRAM 3.1 - Quantum RAM - QRAM 4

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New quiz

Quiz II: QRAM Quiz II: QRAM 1 5

lti-quiz 790936 1

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Final Project

Final Project Final Project

Page

Final Project Overview Final Project Overview 1

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Context Module Subheader

Project Topics 2

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Page

Proj I: Review quantum algoritms and techniques in your research field Proj I: Review quantum algoritms and techniques in your research field 3

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Page

Proj II: Performance Analysis of Quantum Technologies Proj II: Performance Analysis of Quantum Technologies 4

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Context Module Subheader

Submissions 9

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Assignment

Final Project Abstract Final Project Abstract 1 10

assignment 790961 1

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Assignment

Final Project Slide Presentation Final Project Slide Presentation 1 11

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Assignment

Final Project Report Final Project Report 1 12

assignment 790963 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete