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Psiket Quantum School

Psiket School of Quantum Science and Technology was established at Sharif University of Technology in February 2023 with the aim of introducing the scientific community to the concepts, potential, and applications of quantum technologies. Through educational courses and events, the production of scientific content, and the creation of opportunities for interaction among experts, researchers, and enthusiasts, Psiket contributes to advancing knowledge and expanding the quantum technology ecosystem.

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Lecture 38: Quantum Matrix Inversion | Psiket

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Lecture 38: Quantum Matrix Inversion

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Lecture 38: Quantum Matrix Inversion

Quantum Machine Learning With Peter Wittek

Educational Videos

Section 14: Gate Based Quantum ComputationEducational Videos 2

Section 29: A Genuine Quantum TechnologyEducational Videos 3

Section 28: Beating the SQL in Gravitational Wave DetectionEducational Videos 4

Section 27: Beating the SQL in a Mach–Zehnder InterferometerEducational Videos 5

Section 26: Squeezed States are Fragile!Educational Videos 6

Section 25: Measurement below the SQLEducational Videos 7

Section 24: Squeezed StateEducational Videos 8

Section 23: Complex Plane RepresentationEducational Videos 9

section 22: Quadrature ComponentsEducational Videos 10

Section 21: Balanced Homodyne DetectionEducational Videos 11

Section 20: Squeezed LightEducational Videos 12

Section 19: Review of Previous TopicsEducational Videos 13

Section 18: Multimode Coherent RadiationEducational Videos 14

Section 17: Heterodyne DetectionEducational Videos 15

Section 16: Quasi-Classical Wave Packet on a Beam SplitterEducational Videos 16

Section 15: Quasi-Classical Wave PacketEducational Videos 17

Section 14: Photon Poisson DistributionEducational Videos 18

Section 13: Overview of Multimode Quantum OpticsEducational Videos 19

Section 12: Quasi-Classical Polychromatic States of RadiationEducational Videos 20

Section 11: Summary of Previous SectionsEducational Videos 21

Section 10: Photon Flux FluctuationsEducational Videos 22

Section 9: Free-Space Beam EmitterEducational Videos 23

Section 8: An Example of a Monochromatic LaserEducational Videos 24

Section 7: Transformation on a Beam SplitterEducational Videos 25

Section 6: Photoelectric Signals (Classical Approach)Educational Videos 26

Section 5: Photon NumberEducational Videos 27

Section 4: Mean Field and DispersionEducational Videos 28

Lecture 37: Programming Laboratory (Part 9)Educational Videos 29

Lecture 36: Programming Laboratory (Part 8)Educational Videos 30

Lecture 35: Programming Laboratory (Part 7)Educational Videos 31

Lecture 34: Programming Laboratory (Part 6)Educational Videos 32

Lecture 33: Programming Laboratory (Part 5)Educational Videos 33

Lecture 32: Programming Laboratory (Part 4)Educational Videos 34

Lecture 31: Programming Laboratory (Part 3)Educational Videos 35

Lecture 30: Programming Laboratory (Part 2)Educational Videos 36

Lecture 29: Programming Laboratory (Part 1)Educational Videos 37

Lecture 28: Interviews with Selected Experts and Career Opportunities in Quantum TechnologyEducational Videos 38

Lecture 27: Applications in Quantum Chemistry (Part 6)Educational Videos 39

Lecture 26: Applications in Quantum Chemistry (Part 5)Educational Videos 40

Lecture 25: Applications in Quantum Chemistry (Part 4)Educational Videos 41

Lecture 24: Applications in Quantum Chemistry (Part 3)Educational Videos 42

Lecture 23: Applications in Quantum Chemistry (Part 2)Educational Videos 43

Lecture 22: Applications in Quantum Chemistry (Part 1)Educational Videos 44

Lecture 21: Superconducting Qubits (Part 6)Educational Videos 45

Lecture 20: Superconducting Qubits (Part 5)Educational Videos 46

Lecture 19: Superconducting Qubits (Part 4)Educational Videos 47

Lecture 18: Superconducting Qubits (Part 3)Educational Videos 48

Lecture 17: Superconducting Qubits (Part 2)Educational Videos 49

Lecture 16: Superconducting Qubits (Part 1)Educational Videos 50

Lecture 15: Quantum Error Correction with Implementation (Part 3)Educational Videos 51

Lecture 14: Quantum Error Correction with Implementation (Part 2)Educational Videos 52

Lecture 13: Quantum Error Correction with Implementation (Part 1)Educational Videos 53

Lecture 12: Shor’s Factoring Algorithm (Part 2) – Writing a Quantum Program (Part 3)Educational Videos 54

Lecture 1۱: Shor’s Factoring Algorithm (Part 2) – Writing a Quantum Program (Part ۲)Educational Videos 55

Lecture 10: Shor’s Factoring Algorithm (Part 2) – Writing a Quantum Program (Part 1)Educational Videos 56

Lecture 9: Shor’s Algorithm, Quantum Fourier Transform, and Quantum Phase Estimation (Part 3)Educational Videos 57

Lecture ۸: Shor’s Algorithm, Quantum Fourier Transform, and Quantum Phase Estimation (Part ۲)Educational Videos 58

Lecture 7: Shor’s Algorithm, Quantum Fourier Transform, and Quantum Phase Estimation (Part 1)Educational Videos 59

Lecture 6: Writing and Executing a Quantum Program (Part 2)Educational Videos 60

Lecture 5: Writing and Executing a Quantum Program (Part 1)Educational Videos 61

Lecture 4: Writing and Executing a Simple Quantum ProgramEducational Videos 62

Section 55: Review of Chapter 1 and Introduction to Chapter 2Educational Videos 63

Section 54: The No-Cloning TheoremEducational Videos 64

Section 53: Quantum Cryptography (BB84 Quantum Key Distribution Protocol)Educational Videos 65

Section 52: Single-Photon Polarization as a QubitEducational Videos 66

Section 51: Weak Pulses on a Beam SplitterEducational Videos 67

Section 50: Photonics-Based Technologies (Quantum Random Number Generation)Educational Videos 68

Section 49: Summary of the Covered TopicsEducational Videos 69

Section 48: Posing a QuestionEducational Videos 70

Section 47: Wave–Particle Duality and ComplementarityEducational Videos 71

Section46Educational Videos 72

Section 45: Single-Photon Interference SignalEducational Videos 73

Section 44: Anticorrelation with Complementary PhotonsEducational Videos 74

Section 43: Anticorrelation Experiments (Quantum Behavior)Educational Videos 75

Section 42: Anticorrelation of Single-Photon Wave Packets on a Beam SplitterEducational Videos 76

Section 41: Wave–Particle Duality of a Single Photon in the Real WorldEducational Videos 77

Section 40: Summary of the Covered TopicsEducational Videos 78

Section 39: Real Single-Photon SourcesEducational Videos 79

Section 38: A Brief Introduction to Fourier TransformEducational Videos 80

Section 37: Spontaneous Photon EmissionEducational Videos 81

Section 36: Single Photon source in real worldEducational Videos 82

Section 35: Heisenberg FormulationEducational Videos 83

Section 34: Review on past contentsEducational Videos 84

Section 33: Light detection signalsEducational Videos 85

Section 32: Field observables (Vacuum observables)Educational Videos 86

Section 31: Linear and Angular MomentumEducational Videos 87

Section 30: All photons numberEducational Videos 88

Section 29: Hamiltonian eigenstates and vacuum energyEducational Videos 89

Section 28: Canonical quantization for multi-mode RadiationsEducational Videos 90

Section 27: Single mode quantized radiation (Quantum Optics in laboratory)Educational Videos 91

Section 26: Wave-particle duality (formulation and interpretation)Educational Videos 92

Section 25: Single Photon interferenceEducational Videos 93

Section 24: Mach-Zender interference in classical opticsEducational Videos 94

Section 23: Single photon wave packet in beam splitterEducational Videos 95

Section 22: Beamsplitter in quantum opticsEducational Videos 96

Section 21: Single photon interference (wave-particle duality)Educational Videos 97

Section 20: Review on past contentsEducational Videos 98

Section 19: Double photon detection signalsEducational Videos 99

Section 18: Single light detection signals for single photon stateEducational Videos 100

Section 17: Single light detection signalsEducational Videos 101

Section 16: Single photon state in single modeEducational Videos 102

section 15: Semi classical model of opticsEducational Videos 103

Section 14: Single photon state in single mode particle like behaviourEducational Videos 104

Section13Educational Videos 105

Section 12: Homework part 1Educational Videos 106

Section 11: A Review of past contentEducational Videos 107

Section 10: The vacuum fluctuationsEducational Videos 108

Section 9: State numbers of photon Educational Videos 109

Section 8: ObservablesEducational Videos 110

Section 7: Canonical Quantization for single mode radiationEducational Videos 111

Section 6: Single Mode RadiationEducational Videos 112

Section 5: Quantum harmonic oscillator (part 2)Educational Videos 113

Section 4: Quantum harmonic oscillator (part 1)Educational Videos 114

Lab 5: Introduction to Hardware Efficient Ansatz for Quantum Machine LearningEducational Videos 115

Lab 4: Introduction to Training Quantum CircuitsEducational Videos 116

Lab 3: Introduction to Quantum Kernels and Support Vector MachinesEducational Videos 117

Lab 2: Introduction to Variational AlgorithmsEducational Videos 118

Lab 1: Introduction to Quantum Computing Algorithms and OperationsEducational Videos 119

The last Lecture: The Future of Quantum Machine LearningEducational Videos 120

Lecture 10.2: The Capacity and Power of Quantum Machine Learning ModelsEducational Videos 121

Lecture 10.1: Advanced QML Algorithms (part 2)Educational Videos 122

Lecture 10.1: Advanced QML AlgorithmsEducational Videos 123

Lecture 9.2: Hardware Efficient Ansatz for Quantum Machine LearningEducational Videos 124

Lecture 9.1: Introduction to Quantum HardwareEducational Videos 125

Lecture 8.2: Barren Plateaus, Trainability Issues, and How to Avoid ThemEducational Videos 126

Lecture 8.1: Introduction and Applications of Quantum ModelsEducational Videos 127

Lecture 7.1: Quantum Kernels in PracticeEducational Videos 128

Lecture 6.2: Quantum Feature Spaces and KernelsEducational Videos 129

Lecture 6.1: From Variational Classifiers to Linear ClassifiersEducational Videos 130

Lecture 5.2: Introduction to Quantum Approximate Optimization Algorithm and ApplicationsEducational Videos 131

Lecture 5.1: Building a Quantum ClassifierEducational Videos 132

Lecture 4.2: Advanced Classical Machine Learning (ML)Educational Videos 133

Lecture 4.1: Introduction to Classical Machine Learning (ML)Educational Videos 134

Lecture 3.2: Noise in Quantum Computers part 2Educational Videos 135

Lecture 3.1: Noise in Quantum Computers part 1Educational Videos 136

Lecture 2.2: Simple Quantum Algorithms IIEducational Videos 137

Lecture 41: Guest lecture by Seth LloydEducational Videos 138

Lecture 40: Quantum Gaussian StatisticsEducational Videos 139

Lecture 39: Quantum Linear Algebra ApplicationEducational Videos 140

Lecture 38: Quantum Matrix InversionEducational Videos 141

Lecture 37: Overview of the HHL AlgorithmEducational Videos 142

Lecture 36: Quantum Phase EstimationEducational Videos 143

Lecture 35: Quantum Fourier TransformEducational Videos 144

Lecture 34: Quantum Enhanced Kernel (final part)Educational Videos 145

Lecture 33: Quantum Enhanced Kernel (continue)Educational Videos 146

Lecture 32: Quantum Enhanced KernelEducational Videos 147

Lecture 31: Optimization and SamplingEducational Videos 148

Lecture 30: Probabilistic Graphical ModelEducational Videos 149

Lecture 29: An Interference CircuitEducational Videos 150

Lecture 28: Kernel MethodsEducational Videos 151

Lecture 27: Clustering by Quantum OptimizationEducational Videos 152

Lecture 26: QBoostEducational Videos 153

Lecture 25: Ensemble LearningEducational Videos 154

Lecture 24: Encoding Classical In formatEducational Videos 155

Lecture 23: Variational Circuits (final part)Educational Videos 156

Lecture 14: Gate-Model Quantum ComputingEducational Videos 157

Lecture 22: Variational Circuits (continue)Educational Videos 158

Lecture 21: Variational Circuits (continue)Educational Videos 159

Lecture 20: Variational Circuits and QubitsEducational Videos 160

Lecture 19: Sampling a Thermal StateEducational Videos 161

Lecture 18: Quantum Approximation and OptimizationEducational Videos 162

Lecture 17: ImplementationsEducational Videos 163

Lecture 16: Quantum AnnealingEducational Videos 164

Lecture 15: Adiabatic Quantum ComputingEducational Videos 165

Lecture 13: Strategies to Solve the Many-Body ProblemEducational Videos 166

Lecture 12: Many-Body Behavior of SpinsEducational Videos 167

Lecture 11: Quantum Many-Body PhysicsEducational Videos 168

Lecture 10: Transverse Field Ising ModeEducational Videos 169

Lecture 9: Classical Ising ModelEducational Videos 170

Lecture 8: Open Quantum SystemsEducational Videos 171

Lecture 25: Effective mass experimentEducational Videos 172

Lecture 24: Entanglement Quantum Computing, EPR and Bell's TheoremEducational Videos 173

Lecture 23: SpinEducational Videos 174

Lecture 22: Metals, Insulators and SemiconductorsEducational Videos 175

Lecture 21: Periodic Lattices Part 2Educational Videos 176

Lecture 20: Periodic Lattices Part 1Educational Videos 177

Lecture 19: Identical ParticlesEducational Videos 178

Lecture 18: Hydrogen Atom and its DiscontentsEducational Videos 179

Lecture 17: More on Central PotentialsEducational Videos 180

Lecture 16: Eigenstates of the Angular Momentum Part 2Educational Videos 181

Lecture 15: Eigenstates of the Angular Momentum Part 1Educational Videos 182

Lecture 14: Resonance and the S-MatrixEducational Videos 183

Lecture 13: More on ScatteringEducational Videos 184

Lecture 12: The Dirac Well and Scattering of the Finite StepEducational Videos 185

Lecture 11: Dispersion of the Gaussian and the Finite WellEducational Videos 186

Lecture 10: Dirac notationEducational Videos 187

Lecture 9: Operator Methods for the Harmonic OscillatorEducational Videos 188

Lecture 8: Quantum Harmonic OscillatorEducational Videos 189

Lecture 7: More on Energy EigenstatesEducational Videos 190

Lecture6: Time Evolution and the Schrödinger EquationEducational Videos 191

Lecture 5: Operators and the Schrödinger EquationEducational Videos 192

Lecture 4: Expectations value momentum and uncertaintyEducational Videos 193

Lecture 26: Supplementary materials about Angular momentum part 3Educational Videos 194

Lecture 25: Supplementary materials about Angular momentum part 2Educational Videos 195

Lecture 24: Supplementary materials about Angular momentum part 1Educational Videos 196

Lecture 23: Angular momentum part 4Educational Videos 197

Lecture 22: Angular momentum part 3Educational Videos 198

Lecture 21: Angular momentum part 2Educational Videos 199

Lecture 20: Multi particle states and Tensor products part 3 and Angular momentum part 1Educational Videos 200

Lecture 19: Multi particle States and Tensor Products part 2Educational Videos 201

Lecture 18: Two State Systems part 3 and Multi particle States and Tensor Products part 1Educational Videos 202

Lecture 17: Two state systems part 2Educational Videos 203

Lecture 16: Quantum dynamics part 5 and Two state systems part 1Educational Videos 204

Lecture 15: Quantum dynamics part 4Educational Videos 205

Lecture 14: Quantum dynamics part 3Educational Videos 206

Lecture 13: Quantum dynamics part 2Educational Videos 207

Lecture 12: Quantum dynamics part 1Educational Videos 208

Lecture 11: Uncertainty principle and compatible observable's part 2Educational Videos 209

Lecture 10: Uncertainty principle and compatible observable's part 1Educational Videos 210

Lecture 9: Dirac's Bra and Ket NotationEducational Videos 211

Lecture 8: Linear Algebra, Vector Spaces and OperatorsEducational Videos 212

Section 25: Decoherence part 5Educational Videos 213

Section 24: Decoherence part 4Educational Videos 214

Section 23: Decoherence part 3Educational Videos 215

Section 22: Decoherence part 2Educational Videos 216

Section 21: Two Photon Excitation part 2 and Decoherence Part 1Educational Videos 217

Section 20: Spectrum Line Broadening part 4 and Two Photon Excitation part 1Educational Videos 218

Section 19: Spectrum Line Broadening part 3Educational Videos 219

Section 18: Spectrum Line Broadening part 2Educational Videos 220

Section 17: Atom Light Interaction part 6 and Spectrum Line Broadening part 1Educational Videos 221

Section 16: Atom Light Interaction part 5Educational Videos 222

Section 15: Atom Light Interaction part 4Educational Videos 223

Section 14: Atom Light Interaction part 3Educational Videos 224

Section 13: Atom Light Interaction part 2Educational Videos 225

Section 12: Atoms In External Fields part 4 and atom light interaction part 1Educational Videos 226

Section 11: Atoms in external fields part 3Educational Videos 227

Section 10: Atoms in external fields part 2Educational Videos 228

Section 9: Atoms Part 5 and atoms in external fields part 1Educational Videos 229

Section 8: Atoms Part 4Educational Videos 230

Section 32: Mixed Entangled StatesEducational Videos 231

Section 31: Entagled StatesEducational Videos 232

Section 30: Making Entangled States Part 3Educational Videos 233

Section 29: Making Entangled States Part 2Educational Videos 234

Section 28: Making Entangled StatesEducational Videos 235

Section 27: Entanglement ApplicationEducational Videos 236

Section 26: Quantum ChannelsEducational Videos 237

Section 25: Qubit ChannelsEducational Videos 238

Section 24: Quantum Channels As CPTP MapsEducational Videos 239

Section 23: Quantum Channels and Teleportation ApplicationsEducational Videos 240

Section 22: Cross Representation of Quantum ChannelsEducational Videos 241

Section 21: Phase EstimationEducational Videos 242

Section 20: Deutsch Algorithm Part 3Educational Videos 243

Section 19: Deutsch Algorithm Part 2Educational Videos 244

Section 18: Deutsch Algorithm Part 1Educational Videos 245

Section 17: Quantum AlgorithmEducational Videos 246

Section 16: Teleportation Part 2Educational Videos 247

Section 15: Teleportation Part 1Educational Videos 248

Section 14: Measurement of Two Qubit SystemsEducational Videos 249

Section 13: Two Qubit GatesEducational Videos 250

Section 12: Two Qubit Entanglement and Schmidt DecompositionEducational Videos 251

Section 11: No Cloning TheoremEducational Videos 252

Section 10: Distinguishing Qubit StatesEducational Videos 253

Section 9: Qubit DynamicsEducational Videos 254

Section 8: BlochSphereEducational Videos 255

Section 14: Rotation Gates And Barrier FunctionsEducational Videos 256

Section 13: Unitary Evolations And Bell StatesEducational Videos 257

ُSection 12: Quantum EntanglementEducational Videos 258

Section 11: Born Law And Quantum RegistersEducational Videos 259

ُSection 10: Phase And U-GatesEducational Videos 260

ُSection 9: Control GatesEducational Videos 261

ُSection 8: Multi Qubit GateEducational Videos 262

ُSection 7: Single Qubit GatesEducational Videos 263

Section 6: What Types Of Qubits We HaveEducational Videos 264

Section 5: Introduction to Quantum Computing With QiskitEducational Videos 265

Section 4: Multi Qubit Gates in Quantum ComposerEducational Videos 266

Section 10Educational Videos 267

Section 9Educational Videos 268

Section 8Educational Videos 269

Section 7Educational Videos 270

Section 6Educational Videos 271

Section 5Educational Videos 272

Section 4Educational Videos 273

Session 5: Quantum AlgorithmsEducational Videos 274

Session 4: RSA Cryptography AlgorithmEducational Videos 275

Section 23: Grover's AlgorithmEducational Videos 276

Section 22: Deutsch's AlgorithmEducational Videos 277

Section 21: Quantum computers and Quantum gates part 3Educational Videos 278

Section 20: Quantum computers and Quantum gates part 2Educational Videos 279

Section 19: Quantum computers and Quantum gates part 1Educational Videos 280

Section 18: Schrodinger's equation and unitary operations part 2Educational Videos 281

Section 17: Schrodinger's equation and unitary operationsEducational Videos 282

Section 16: Entanglement Part2Educational Videos 283

Section 15: EntanglementEducational Videos 284

Section 14: RevisionEducational Videos 285

Section 13: Complex Systems Part3Educational Videos 286

Section 12: Complex Systems Part2Educational Videos 287

Section 11: Complex Systems Part 1Educational Videos 288

Section 10: Interpretations of Quantum MechanicsEducational Videos 289

Section 9: Observables in Quantum Mechanics part 2Educational Videos 290

Section8: Observables in Quantum MechanicsEducational Videos 291

Section 7: Measurements in other basesEducational Videos 292

Section 6: Basis RotationsEducational Videos 293

Section 5: Measurement in Quantum MechanicsEducational Videos 294

Section 4: The Wave FunctionEducational Videos 295

Section 7: Mixed StatesEducational Videos