13 papers
Unifying spacetime approaches to quantum mechanics
N. L. Diaz, M. Cerezo, Paolo Braccia
Recent efforts to formulate quantum mechanics in a way that treats space and time on a more equal footing have led to a large variety of spacetime-oriented approaches. In this work…
The commutant of fermionic Gaussian unitaries
Paolo Braccia, N. L. Diaz, Martin Larocca +2
In this work, we characterize the -th order commutants of fermionic Gaussian unitaries and of their particle-preserving subgroup acting on fermionic modes. These commutants…
Practical framework for simulating permutation-equivariant quantum circuits
Su Yeon Chang, Martin Larocca, M. Cerezo
Understanding which subclasses of quantum circuits are efficiently classically simulable is fundamental to delineating the boundary between classical and quantum computation. In th…
Analyzing the free states of one quantum resource theory as resource states of another
Andrew E. Deneris, Paolo Braccia, Pablo Bermejo +3
In the context of quantum resource theories (QRTs), free states are defined as those which can be obtained at no cost under a certain restricted set of conditions. However, when ta…
Group Fourier filtering of quantum resources in quantum phase space
Luke Coffman, N. L. Diaz, Martin Larocca +2
Recently, it has been shown that group Fourier analysis of quantum states, i.e., decomposing them into the irreducible representations (irreps) of a symmetry group, enables new way…
Architectures and random properties of symplectic quantum circuits
Diego GarcÃa-MartÃn, Paolo Braccia, M. Cerezo
Parametrized and random unitary (or orthogonal) -qubit circuits play a central role in quantum information. As such, one could naturally assume that circuits implementing symple…