It has been suggested that noninvertible symmetry-protected topological phases (SPT), due to the lack of a stacking structure, do not have symmetric entanglers (globally symmetric finite-depth quantum circuits) connecting them. Using topological holography, we argue that a symmetric entangler should in fact exist for $1+1\mathrm{D}$ systems whenever the noninvertible symmetry has SPT phases connected by fixed-charge dualities. Moreover, we construct an explicit example of a symmetric entangler for the two SPT phases with $\mathrm{Rep}\left(A_4\right)$ symmetry, as a matrix product unitary.

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• Quantum circuits
• Symmetry protected topological states
• Topological field theories
• Symmetries
• Discrete symmetries in condensed matter