55 citations · 290 across the 16 of their papers we have counts for
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Inferring Nonlinear Many-Body Bell Inequalities From Average Two-Body Correlations: Systematic Approach for Arbitrary Spin-j Ensembles
Guillem Müller-Rigat, Albert Aloy, Maciej Lewenstein +1
Violating Bell's inequalities (BIs) allows one to certify the preparation of entangled states from minimal assumptions -- in a device-independent manner. Finding BIs tailored to ma…
Entangled symmetric states and copositive matrices
Carlo Marconi, Albert Aloy, Jordi Tura +1
Entanglement in symmetric quantum states and the theory of copositive matrices are intimately related concepts. For the simplest symmetric states, i.e., the diagonal symmetric (DS)…
Storage capacity and learning capability of quantum neural networks
Maciej Lewenstein, Aikaterini Gratsea, Andreu Riera-Campeny +3
We study the storage capacity of quantum neural networks (QNNs) described as completely positive trace preserving (CPTP) maps, which act on an -dimensional Hilbert space. We dem…
Bounding the fidelity of quantum many-body states from partial information
Matteo Fadel, Albert Aloy, Jordi Tura
We formulate an algorithm to lower bound the fidelity between quantum many-body states only from partial information, such as the one accessible by few-body observables. Our method…
The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing
Albert Aloy, Matteo Fadel, Jordi Tura
In this paper, we present a method to solve the quantum marginal problem for symmetric -level systems. The method is built upon an efficient semi-definite program that determine…