9 citations · 11 across the 6 of their papers we have counts for
6 papers
Solving graph problems using permutation-invariant quantum machine learning
Maximilian Balthasar Mansky, Tobias Rohe, Gerhard Stenzel +7
Many computational problems are unchanged under some symmetry operation. In classical machine learning, this can be reflected with the layer structure of the neural network. In qua…
Scaling of symmetry-restricted quantum circuits
Maximilian Balthasar Mansky, Miguel Armayor Martinez, Alejandro Bravo de la Serna +6
The intrinsic symmetries of physical systems have been employed to reduce the number of degrees of freedom of systems, thereby simplifying computations. In this work, we investigat…
Symmetry-restricted quantum circuits are still well-behaved
Maximilian Balthasar Mansky, Santiago Londoño Castillo, Miguel Armayor-Martínez +5
We show that quantum circuits restricted by a symmetry inherit the properties of the whole special unitary group , in particular composition, algebraic and topological clo…
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…