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We propose an indistinguishability measure for assessment of ansatzwavefunctions with numerically determined wavefunctions. The measureefficiently compares all correlation functions of two states and can thereforebe used to distinguish phases by defining correlator classes for ansatzwavefunctions. It also allows identification of quantum critical points. Wedemonstrate the approach for the transverse Ising model, using the matrixproduct state formalism with the time evolving block decimation algorithm.

Distinguishing Phases with Ansatz Wavefunctions