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We demonstrate the following conclusion: If $|\Psi\rangle$ is a $1d$ or $2d$ nontrivial short range entangled state, and $|\Omega \rangle$ is a trivial disordered state defined on the same Hilbert space, then the following quantity (so called strange correlator) $C(r, r^\prime) = \frac{\langle \Omega|\phi(r) \phi(r^\prime) | \Psi\rangle}{\langle \Omega| \Psi\rangle}$ either saturates to a constant or decays as a power-law in the limit $|r - r^\prime| \rightarrow +\infty$, even though both $| \Omega\rangle$ and $| \Psi\rangle$ are quantum disordered states with short-range correlation.
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