๐ Quantum Algorithms Overview
Explore the algorithms that give quantum computers their power
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Interactive Circuit Simulator
The Quantum Advantage
Quantum algorithms exploit superposition, entanglement, and interference to solve specific problems exponentially or quadratically faster than classical computers. They're not universally betterโbut for the right problems, they're revolutionary.
โกTypes of Speedup
Exponential
Problems that take centuries โ minutes
Example: Shor's algorithm
Quadratic
โN speedup for search problems
Example: Grover's algorithm
Heuristic
Better solutions, speedup unproven
Example: QAOA
๐ฏWhen Quantum Wins
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Inherently Quantum
Simulating quantum systems
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Period Finding
Factoring, discrete log
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Unstructured Search
Database queries
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Linear Algebra
Large matrix operations
The Three Quantum Resources
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Superposition
Explore multiple solutions simultaneously
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Entanglement
Create correlations impossible classically
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Interference
Amplify correct answers, cancel wrong ones
๐Impact Timeline
1994:
Shor's Algorithmโ Ignited quantum computing field
1996:
Grover's Algorithmโ Universal search speedup
2014:
VQE & QAOAโ Near-term quantum applications
2020s:
Quantum MLโ Active research frontier