Measurement-induced phase transitions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> -dimensional stabilizer circuits

The interplay between unitary dynamics and local quantum measurements results in unconventional non-unitary dynamical phases transitions. In this paper we investigate the of $(d+1)$-dimensional hybrid stabilizer circuits, for $d=1,2,3$. We characterize measurement-induced their transitions using large-scale numerical simulations focusing on entanglement measures, purification dynamics, wave-function structure. Our findings demonstrate transition $(d+1)$ spatiotemporal dimensions is conformal close to percolation spatial dimensions.