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Permutation-invariant quantum circuits
Maximilian Balthasar Mansky, Santiago Londoño Castillo, Victor Ramos Puigvert +1
The implementation of physical symmetries into problem descriptions allows for the reduction of parameters and computational complexity. We show the integration of the permutation…
Decomposition Algorithm of an Arbitrary Pauli Exponential through a Quantum Circuit
Maximilian Balthasar Mansky, Victor Ramos Puigvert, Santiago Londoño Castillo +1
We review the staircase algorithm to decompose the exponential of a generalized Pauli matrix and we propose two alternative recursive methods which offer more efficient quantum cir…
Near-optimal quantum circuit construction via Cartan decomposition
Maximilian Balthasar Mansky, Santiago Londoño Castillo, Victor Ramos Puigvert +1
We show the applicability of the Cartan decomposition of Lie algebras to quantum circuits. This approach can be used to synthesize circuits that can efficiently implement any desir…