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Quantum EngineeringYear 1: Quantum Mechanics CoreMonth 22Day 591

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Year 1·Month 22·Week 1

Day 591: Deutsch-Jozsa n-Qubit Generalization

Day 591 of 2,016~11 min read

Learning Objectives

  • •Generalize the constant vs. balanced problem to n bits
  • •Prove the classical lower bound of $2^{n-1}+1$ queries
  • •Derive the complete Deutsch-Jozsa algorithm
  • •Prove correctness via Hadamard transform properties
  • •Understand the exponential quantum speedup
  • •Recognize limitations of the algorithm in practice

Today's Schedule (7 hours)

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The Generalized ProblemClassical Query ComplexityQuantum Algorithm CircuitState Evolution AnalysisProof of CorrectnessExponential SpeedupLimitations
Day 590Day 591 of 2,016Day 592