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Quantum EngineeringYear 2: Advanced Quantum ScienceMonth 35Day 968

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Year 2·Month 35·Week 3

Day 968: Variational Quantum Classifiers

Day 968 of 2,016~17 min read

Learning Objectives

  • •**Construct a variational quantum classifier** with encoding and ansatz layers
  • •**Design cost functions** appropriate for classification tasks
  • •**Implement hybrid training loops** combining quantum circuits with classical optimizers
  • •**Analyze decision boundaries** created by quantum classifiers
  • •**Apply VQC** to binary and multi-class classification problems
  • •**Compare VQC performance** with classical methods on benchmark datasets

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Year 2 Semester 2B Fault Tolerance HardwareMonth 35 Advanced Algorithms - Week 139 QML FoundationsSchedule OverviewLearning ObjectivesMorning Session Theory 3 hours1 The Variational Quantum Classifier FrameworkArchitecture OverviewCircuit Diagram2 Cost Functions for Classification21 Binary Classification22 Probability-Based Classification23 Multi-Class Classification3 Ansatz Design31 Hardware-Efficient Ansatz32 Strongly Entangling Layers33 Number of Parameters4 Training Hybrid Quantum-Classical LoopThe Optimization Cycle41 Parameter-Shift Rule42 Gradient-Free Optimization5 Decision BoundariesHow VQC Creates SeparationsComplexity of Boundaries6 Connection to Classical MLVQC vs Classical Neural NetworksVQC as a Linear Model in Feature SpaceAfternoon Session Problem Solving 2 hoursWorked Example 1 Designing a VQC for XOR ProblemWorked Example 2 Gradient CalculationWorked Example 3 Cost Function ComparisonPractice ProblemsProblem 1 Parameter Count Direct ApplicationProblem 2 Decision Boundary IntermediateProblem 3 Multi-Class Extension ChallengingEvening Session Computational Lab 2 hoursLab Implementing a Complete VQC Training PipelineExpected Output SummarySummaryKey FormulasKey TakeawaysConnection to Classical MLDaily ChecklistPreview Day 969
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