Cost Landscape Explorer
Variational cost surface visualization
A 1-qubit variational circuit Ry(theta)Rz(phi)|0> is measured against different Hamiltonians. The full 2D cost surface is rendered as a heatmap. Click to place a parameter point, toggle the gradient vector and gradient field overlay, and locate the global minimum. This is the landscape your optimizer must navigate.
Pauli Z: ground state is |0>
C(theta,phi) = 1.00000|grad C| = 0.00000C_min = -1.00000
Click anywhere on the landscape to place the parameter point. The gold dot shows your position; purple arrow shows the negative gradient direction. Green crosshair marks the global minimum.