hadamard-transform

To create a uniform superposition, you apply the Hadamard transform H^⊗n to the |0⟩^n state, producing an equal superposition over all 2^n basis states. The Skill outputs the resulting state vectors, probabilities, and an SVG circuit diagram.

Applying a Hadamard gate twice verifies its self-inverse property by returning the transformed quantum statevector back to its original state. The reflexive_test mode compares the doubly-transformed state to confirm it matches the initial input.

Yes, the Hadamard transform simulation supports educational demonstrations and circuit exploration across Qiskit and PennyLane. It requires a deterministic run path and a statevector backend to output accurate state vectors and probabilities.

The Hadamard transform is used to generate uniform superposition states, enabling exploration and verification of quantum state transformations. It provides state vectors, probabilities, and SVG circuit diagrams to visualize these transformations.

Yes, you need a statevector backend to run Hadamard transform simulations. A deterministic run path is required to accurately calculate and output the state vectors and corresponding probabilities for the generated superposition.