{"artifact_id":"L1-923","layer":"L1","title":"Optimal Quantum Control — High-Fidelity Gates","domain":"Quantum Control","sub_domain":"Pulse Optimization","physics_fingerprint":{"intro":"Quantum gates are physical pulses. Reaching the fidelities fault tolerance demands (≳ 99.9%) requires shaping control fields that beat decoherence, leakage and crosstalk on real hardware.","title":"Optimal Quantum Control — High-Fidelity Gates","domain":"Quantum Control","chapter":"Ch.12 Quantum Technology","why_hard":"The control landscape is high-dimensional and hardware-specific; open-system noise must be modeled; pulses must respect bandwidth and leakage limits.","agent_idea":"An agent that calibrates and re-optimizes pulses per device from measured noise, closing the loop on fidelity.","approaches":["GRAPE / Krotov optimal control","RL pulse optimization on device feedback","Robust, uncertainty-aware control synthesis"],"sub_domain":"Pulse Optimization","forward_model":"Time-dependent Schrödinger/Lindblad evolution U(T)=T exp(−i∫H[u(t)]dt) under control fields u(t); maximize gate fidelity F=|Tr(U_target† U)|²/d² subject to bandwidth and leakage limits.","benchmark_goal":"Synthesize gates with average infidelity ≲ 1e-3 under realistic open-system noise, within hardware bandwidth.","challenge_blurb":"Hit the gate fidelities fault tolerance needs — shape control pulses that beat decoherence and crosstalk on real hardware.","challenge_group":"quantum","challenge_short":"Optimal Quantum Control","grand_challenge":true,"governing_equation":"U(T) = T exp(−i ∫₀ᵀ H[u(t)] dt);   F = |Tr(U_target† U)|² / d²"},"observable_profile":{"unit":"average gate infidelity (lower better)","floor":0.001,"metric":"gate_infidelity","sota_reference":"GRAPE / Krotov / RL pulse optimization on superconducting & ion qubits"},"size_tiers":{"qubits":[1,2,5],"control_steps":[20,100,500]},"hardness_fn":{"type":"grand_challenge","metric":"gate_infidelity","baseline":"Analytic DRAG pulse","delta_tier":50},"initiator_dataset":[{"name":"Two-qubit gate calibration corpus","weight":0.6,"ipfs_cid":null,"license_hash":null},{"name":"Open-system noise-spectroscopy set","weight":0.4,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":5000.0,"chain_hash":null,"chain_tx_hash":null,"chain_block":null,"wp":{},"plain_intro":"Optimal Quantum Control — High-Fidelity Gates (Pulse Optimization) is a problem in Quantum Control. The forward model maps the hidden the unknown quantity to a measurement. The inverse goal is to recover the the unknown quantity from the observed data."}