"""Draw the tensor-product Hadamard circuit. Tested with Python 3.14. Uses the repository's numpy/matplotlib dependencies; honors MPLCONFIGDIR. Writes paper-53-hadamard-network.png to the caller's working directory. """ import matplotlib matplotlib.use('Agg') import matplotlib.pyplot as plt from matplotlib.patches import Rectangle fig, ax = plt.subplots(figsize=(10, 3.4), dpi=120) fig.patch.set_facecolor('white') ax.set_facecolor('white') for label, y in [('1', 2.5), ('2', 1.7), ('n', .35)]: ax.plot([1.15, 4.0], [y, y], color='black', lw=1.7, zorder=1) ax.add_patch(Rectangle((2.2, y-.24), .6, .48, facecolor='white', edgecolor='black', lw=1.5, zorder=2)) ax.text(2.5, y, r'$H$', ha='center', va='center', fontsize=17) ax.text(1.0, y, rf'$|x_{label}\rangle$', ha='right', va='center', fontsize=16) ax.text(4.15, y, rf'$\frac{{|0\rangle+(-1)^{{x_{label}}}|1\rangle}}{{\sqrt{{2}}}}$', va='center', fontsize=18) ax.text(2.5, 1.02, r'$\vdots$', ha='center', va='center', fontsize=21) ax.set_title(r'Parallel Hadamard gates implement $H^{\otimes n}$', fontsize=16, pad=12) ax.set_xlim(0, 8.2) ax.set_ylim(-.2, 2.95) ax.axis('off') fig.tight_layout() fig.savefig('paper-53-hadamard-network.png', dpi=120, facecolor='white', transparent=False) plt.close(fig)