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QC101 : Quantum Computing & Quantum Physics for Beginners
Introduction
Introduction (3:31)
How is Quantum Computing Different ? (2:06)
Quantum Cryptography
Photons (2:24)
Photon Polarization (4:10)
Experiments with Photon Polarization (3:26)
No-Cloning Theorem (1:26)
Encoding with XOR (2:25)
Encryption with Single-Use Shared Secrets (1:45)
Encoding Data in Photon Polarization (4:54)
Making the Protocol Secure (4:31)
Exchanging the Polarization Angles (1:46)
Why is the BB84 Protocol Secure ? (1:25)
Analysis (1:07)
Foundation: Complex Numbers, Probability ...
Probability (1:39)
Complex Numbers 1 (2:18)
Complex Numbers 2 (4:16)
Complex Numbers 3 (2:53)
Matrix Algebra ( Linear Algebra ) (2:53)
Matrix Multiplication 1 (1:20)
Matrix Multiplication 2 (1:57)
Identity Matrices (1:09)
Column Matrices (1:48)
1x1 Matrices (0:49)
Logic Circuits (2:09)
Developing a Math Model for Quantum Physics
Modeling Physics with Math (0:58)
Subtractive Probabilities through Complex Numbers (2:17)
Modeling Superposition through Matrices (0:55)
Overview of Math Model (0:52)
Quantum Physics of Spin States
Introduction to Spin States (1:08)
Basis (2:11)
Column Matrix Representation of Quantum States (2:27)
State Vector (2:18)
Experiments with Spin 1 (1:39)
Experiments with Spin 2 (3:33)
Experiments with Spin 3 (1:44)
Modeling Quantum Spin States with Math
Analysis of Experiments 1 (4:57)
Analysis of Experiments 2 (0:47)
Analysis of Experiments 3 (2:00)
Dirac Bra-ket Notation 1 (1:44)
Dirac Bra-ket Notation 2 (1:20)
More Experiment Analysis 1 (1:21)
More Experiment Analysis 2 (5:00)
On Random Behavior (2:48)
Reversible and Irreversible State Transformations
Irreversible Measurement (1:56)
Reversible Transformations (2:52)
Multi-Qubit Systems
Analyzing Multi-Qubit Systems (2:27)
Entanglement
Entanglement (4:24)
Quantum Computing Model
Quantum Circuits (3:28)
Fanout (1:40)
Uncomputing (1:12)
Reversible Gates (2:17)
Quantum NOT (1:59)
Other Single-Qubit Gates (1:47)
CNOT Gate (2:20)
CCNOT : Toffoli Gate (3:00)
Universal Gate (1:28)
Fredkin Gate (0:43)
Effects of Superposition & Entanglement on Quantum Gates (2:03)
Quantum Programming with Microsoft Q#
Installing Q# (1:40)
Q# Simulator Hardware Architecture (3:23)
Q# Controller (1:04)
Q# Execution Model (1:57)
Measuring Superposition States (4:03)
Iterative Measurements (1:29)
Download Companion Code
Overview of the 4-Qubit Simulation Framework (2:59)
Iterative measurements in Q# (0:50)
Set Operation (1:24)
QB4Run Operation (2:56)
Interpreting the Output (1:43)
Output after Initialization (1:37)
NOT Operation (1:24)
Superposition (1:27)
SWAP (1:09)
CNOT (0:52)
Significance of Superposition & Entanglement (0:56)
Effect of Superposition on Quantum Gates (1:49)
Toffoli Gate: General Configuration (0:59)
Toffoli Configured as NOT (0:53)
Toffoli Configured as AND (0:40)
Toffoli Configured as Fanout (1:07)
IBM Quantum Experience
IBM Quantum Experience (2:06)
Conclusion
Speedup Revisited (1:47)
Conclusion (1:35)
Encoding with XOR
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