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Quantum lab

Research-only optimization. Outputs are validated by deterministic code and never touch execution.

research prototype

Classical baselineimplemented

Exhaustive grid search over the allocation simplex.

Quantum-inspiredimplemented

Simulated annealing on a binary (QUBO-style) encoding, run on a normal CPU.

Experimental quantumnot implemented

QAOA on real hardware or a simulator is roadmap only. No quantum advantage is claimed.

max⁡a;U(a)−λR(a)−μC(a),U=∑giai−12∑diai2,;R=∑ρiai2,;C=∑κiai\max_a; U(a)-\lambda R(a)-\mu C(a),\quad U=\textstyle\sum g_i a_i-\tfrac12\sum d_i a_i^2,; R=\sum \rho_i a_i^2,; C=\sum \kappa_i a_iai=∑k=0K−12kzi,k2K−1,E(z)=−obj(a)+P(∑iai−1)2+hinge penaltiesa_i=\frac{\sum_{k=0}^{K-1}2^k z_{i,k}}{2^K-1},\quad E(z)=-\text{obj}(a)+P(\textstyle\sum_i a_i-1)^2+\text{hinge penalties}

Coefficients g, d, ρ, κ are illustrative and chosen by the user. They are not empirically validated.