Category: Quantum Computing / Algorithmic Analysis Scenario You are operating inside a controlled quantum execution environment where a black-box oracle evaluates a hidden Boolean function: You are not permitted to inspect or reverse the oracle. The only capability available is to pass quantum states through it and observe the resulting system. Your objective is to determine whether the oracle implements a: Constant function → same output for all inputs Balanced function → outputs 0 for exactly half the inputs and 1 for the other half A classical system requires multiple evaluations to guarantee correctness. Using the Deutsch–Jozsa algorithm , this classification can be achieved deterministically in a single query. System Overview The circuit consists of two qubits: q[0] — Input register (encodes query superposition) q[1] — Ancilla qubit (used for phase encoding) The oracle is assumed to implement the transformation: Stage 1 — State Preparation Initialization Payload OPENQA...
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