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Sparse index replication engine: tracks the S&P 500, Nasdaq-100, Russell 2000 and Nifty 50 with a small basket of stocks (~10% of each index) using a custom ADMM solver for L1-regularized portfolio optimization. Built for direct indexing, tax-loss harvesting and low-cost benchmark tracking. Python, FastAPI, Next.js, Azure.
End-to-End Python implementation of Mancilla et al.'s (2026) methodology for solving the direct indexing portfolio selection problem as quantum combinatorial optimization. Enforces cardinality constraints via subspace confinement. Benchmarks PennyLane quantum circuits against D-Wave simulated annealing & HRP baselines with walk-forward backtesting.