# Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits

@inproceedings{Marvian2022RotationallyInvariantCU, title={Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits}, author={Iman Marvian and Hanqing Liu and Austin Hulse}, year={2022} }

Universality of local unitary transformations is one of the cornerstones of quantum computing with many applications and implications that go beyond this field. However, it has been recently shown that this universality does not hold in the presence of continuous symmetries: generic symmetric unitaries on a composite system cannot be implemented, even approximately, using local symmetric unitaries on the subsystems [I. Marvian, Nature Physics (2022)]. In this work, we study qubit circuits…

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