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README.md

Quantum Computational Finance Research Vault

Industrial-grade implementations of quantum computational finance algorithms, including Quantum Approximate Optimization Algorithm (QAOA), Variational Quantum Eigensolvers (VQE), Quantum Amplitude Estimation (QAE), Harrow-Hassidim-Lloyd (HHL) quantum linear system solvers, and Discrete-Time Quantum Walks (DTQW).

Developed by At1uri as part of the Institutional Quantitative AI Suite.


Suite Contents

  1. 01_qaoa_ising_portfolio.py: Multi-layer QAOA solver with SPSA stochastic gradient optimization and CVaR objective functions.
  2. 02_vqe_ansatz_optimization.py: Hardware-Efficient Ansatz VQE with analytical quantum parameter-shift gradient computation and Adam optimizer.
  3. 03_quantum_amplitude_estimation_option_pricing.py: Brassard et al. (2002) canonical QAE and Maximum-Likelihood QAE achieving quadratic quantum speedup ($\mathcal{O}(1/\epsilon)$) for European and exotic option pricing.
  4. 04_hhl_quantum_linear_solver.py: Harrow-Hassidim-Lloyd (HHL) algorithm for exponential speedup ($\mathcal{O}(\log(N) s^2 \kappa^2 / \epsilon)$) solving implicit Crank-Nicolson PDE systems and Markowitz covariance inversion.
  5. 05_quantum_random_walk_exotic_derivatives.py: Discrete-Time Quantum Walk (DTQW) exhibiting ballistic spatial dispersion ($\sigma \sim t$ vs classical $\sigma \sim \sqrt{t}$) for barrier option exit time estimation.
  6. 06_qiskit_pennylane_pipeline.ipynb: Complete integration notebook for IBM Quantum Runtime and PennyLane.
  7. quantum_computational_finance_suite.zip: Comprehensive packaged archive with full SHA-256 integrity verification.

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