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Unconditional and exponentially large violation of classicality
Marcello Benedetti, Gabriel Marin-Sanchez, Jordi Weggemans +2
Testing the predictions of quantum mechanics has been one of the main experimental endeavors for decades. Recent advancements in technology led to a number of demonstrations which…
Probabilistic quantum algorithm for Lyapunov equations and matrix inversion
Marcello Benedetti, Ansis Rosmanis, Matthias Rosenkranz
We present a probabilistic quantum algorithm for preparing mixed states which, in expectation, are proportional to the solutions of Lyapunov equations -- linear matrix equations ub…
Provable and Verifiable Quantum Advantage in Sample Complexity
Marcello Benedetti, Harry Buhrman, Jordi Weggemans
Consider a fixed universe of elements and the uniform distribution over elements of some subset of size . Given samples from this distribution, the task of complement sa…