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First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Zr</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>96</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>
High-resolution inelastic electron scattering on ${}^{96}$Zr establishes shape coexistence---where two nearby states possess distinct shapes---for this nucleus. Monte Carlo shell-model calculations indicate that the shape change in Zr isotopes is a quantum phase transition.