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Quantum EngineeringYear 2: Advanced Quantum ScienceMonth 35Day 956

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Year 2·Month 35·Week 1

Day 956: HHL Circuit Implementation

Day 956 of 2,016~17 min read

Learning Objectives

  • •**Implement Hamiltonian simulation** circuits for $e^{iAt}$
  • •**Construct controlled rotation** circuits with quantum arithmetic
  • •**Design the complete HHL circuit** with proper ancilla management
  • •**Analyze gate counts and circuit depth** for resource estimation
  • •**Implement HHL in Qiskit** for small-scale demonstrations
  • •**Identify optimization opportunities** in HHL circuits

Today's Schedule (7 hours)

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On this page

1 HHL Circuit ArchitectureRegister Allocation2 Hamiltonian Simulation MethodsTrotter-Suzuki Product FormulaGate Complexity for Sparse Hamiltonians3 Controlled Unitary ImplementationStructure of Controlled-eiAtControlled Rotation Gates4 Eigenvalue-Controlled RotationBinary Representation of EigenvalueRotation CircuitApproach 2 Quantum Arithmetic5 Complete Circuit for 22 System6 Resource AnalysisQubit CountGate CountCircuit Depth7 Optimization TechniquesApproximate QFTIterative Phase EstimationEigenvalue Truncation
Day 955Day 956 of 2,016Day 957