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genpark-grovers-search-amplitude-amplification-skill

mcp
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SUMMARY

Grover's quantum search algorithm with phase inversion oracle and diffusion reflection operator

README.md

Grover's Search & Amplitude Amplification Skill

High-efficiency, zero-dependency Python implementation of Grover's Algorithm and Quantum Amplitude Amplification.

Features

  • Phase Inversion Oracle: Flips the quantum phase ((-1)) of marked target state.
  • Diffusion Operator Reflection: Reflects statevector amplitudes across the mean to boost probability mass.
  • Quadratic Speedup: Reaches near-certainty in (\mathcal{O}(\sqrt{N})) query steps.
  • Zero External Dependencies: Pure Python standard library (math).
  • Native MCP Protocol: JSON-RPC 2.0 stdio server compatible with Claude Desktop, Cursor, and Windsurf.

Architecture

graph LR
    Superpos["Uniform Superposition"] --> Oracle["Phase Inversion Oracle R_target"]
    Oracle --> Diffusion["Diffusion Reflection across Mean 2|s><s| - I"]
    Diffusion --> Amp["Amplified Target Probability"]

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