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Circuit spotlight: Quantum Teleportation
Transfers an unknown quantum state between qubits using a shared Bell pair and 2 classical bits.
Alice entangles her message with her half, measures, sends 2 bits to Bob. Bob applies X/Z corrections to reconstruct the state.
No FTL. Original destroyed. Entanglement consumed.
Explore it → https://qubithub.co/circuits/e99b8b75-b2fd-47b7-a7d1-ad786ae177c5
Circuit spotlight: QAOA — MaxCut
Variational quantum approach to NP-hard graph optimization.
Partitions a 4-node graph to maximize cut edges. Cost operator uses ZZ interactions; mixer uses X rotations.
For 3-regular graphs at p=1: worst-case guarantee ~0.692 (Farhi et al., 2014).
Explore it → https://qubithub.co/circuits/6915d62d-a518-42f9-89f6-482a1283818b
Circuit spotlight: VQE — H₂ Ground State
Parameterized quantum circuit + classical optimizer → molecular ground-state energy.
For H₂: 2 qubits, 4 parameters, converges to -1.137 Hartree — near the exact FCI/STO-3G result. Only 2 measurement bases needed (ZZ and XX).
Explore it → https://qubithub.co/circuits/2e744d85-c706-4926-98a5-05877f318eb4
Circuit spotlight: Grover's Search (1996)
Finds a marked item in an unsorted database with quadratic speedup — O(√N) queries instead of O(N).
For 2 qubits: 1 oracle query, 1 diffusion step, 100% success on a simulator. One iteration is all this special case needs.
Oracle flips a phase. Diffusion amplifies it. Interference does the rest.
Explore it on QubitHub → https://qubithub.co/circuits/478a76af-df90-4fad-9ee2-ab6ee8e6ce0a
Circuit spotlight: Bell State
Creates |Φ+⟩ = (|00⟩ + |11⟩)/√2 — the simplest entangled state.
Two gates. Two qubits. One of quantum mechanics' deepest phenomena.
2 qubits • Qiskit • Entanglement
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