{"object":"list","data":[{"id":"finance.portfolio","title":"Portfolio optimization","domain":"optimization","description":"Select assets maximizing return − λ·risk under a budget, as a QUBO.","inputs":{"mu":"expected returns[]","sigma":"covariance[][]","risk":"λ risk aversion","budget":"# assets to hold","policy":"cheapest|fastest|highest_fidelity|weighted"}},{"id":"optimization.maxcut","title":"MaxCut","domain":"optimization","description":"Partition a weighted graph to maximize the cut, as a QUBO.","inputs":{"n":"# nodes","edges":"[[u,v,w], …]","policy":"cheapest|fastest|highest_fidelity|weighted"}},{"id":"finance.option_qae","title":"Option pricing (QAE)","domain":"finance","description":"European call/put price via amplitude estimation over a log-normal grid.","inputs":{"S0":"spot","K":"strike","r":"rate","sigma":"vol","T":"maturity (yr)","kind":"call|put","eval_qubits":"QAE precision bits"}},{"id":"chemistry.ground_state","title":"Molecular ground-state energy","domain":"chemistry","description":"VQE ground-state energy of minimal-basis H2 vs bond length, with exact reference.","inputs":{"molecule":"h2","bond_length":"Å (0.3–3.0)","shots":"int","policy":"cheapest|fastest|highest_fidelity|weighted"}},{"id":"chemistry.sqd","title":"Sample-based diagonalization (SQD)","domain":"chemistry","description":"Recover ground-state energy from sampled configurations + subspace diagonalization.","inputs":{"n_sites":"spins (2–8)","J":"coupling","h":"field","subspace_dim":"configs kept","shots":"samples","noise":"0–1 mixing"}},{"id":"dynamics.trotter","title":"Trotter time evolution","domain":"dynamics","description":"TFIM chain ⟨Z₀⟩(t) via Trotter steps vs exact diagonalization.","inputs":{"n_spins":"2–7","J":"coupling","h":"field","t":"time","steps":"Trotter steps r"}},{"id":"ml.kernel_classify","title":"Quantum-kernel classification","domain":"ml","description":"Fidelity-kernel weighted-vote classifier over labelled points.","inputs":{"X":"training points[][]","y":"labels ±1","test":"point[]","policy":"cheapest|fastest|highest_fidelity|weighted"}},{"id":"compile.transpile","title":"Circuit transpilation","domain":"compilation","description":"Lay out + route a circuit onto a topology; report depth, SWAPs, fidelity.","inputs":{"n_qubits":"int","gates":"[[name, [qubits]], …]","topology":"linear|ring|all-to-all","two_q_error":"float"}},{"id":"mitigation.zne","title":"Zero-noise extrapolation","domain":"mitigation","description":"Extrapolate noisy expectation values to the zero-noise limit; report confidence.","inputs":{"scale_factors":"[1,2,3,…]","values":"noisy ⟨O⟩ per scale","method":"linear|exponential","ideal":"optional ground truth"}}]}