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Inverse statistical problems: from the inverse Ising problem to data science
This review focuses on the inverse Ising problem and closely related problems, namely how to infer the coupling strengths between spins given observed spin correlations, magnetizations, or other data.
Quantum correlations between two parties are essential for the argument of Einstein, Podolsky, and Rosen in favour of the incompleteness of quantum mechanics. Schr\"odinger noted that an essential…
Adaptive time-step with anisotropic meshing for incompressible flows
Entanglement dynamics of two mesoscopic objects with gravitational interaction
Abstract We analyse the entanglement dynamics of two particles interacting through gravity in a setup similar to the recently proposed experiments that aim to test quantum signatures of gravity [S.…
Bethe–Peierls approximation and the inverse Ising problem
It is shown how the linear response relation leads to a simple method for reconstructing couplings and fields of the Ising model, which is exact on tree graphs, yet its computational expense is comparable to those of other mean-field methods.
Necessary and sufficient condition for steerability of two-qubit states by the geometry of steering outcomes
The critical radius of local models is defined and it is shown that a state of two qubits is steerable with respect to projective measurements from Alice's side if and only if her critical radius is less than $1.
Quasi-bound states induced by one-dimensional potentials in graphene
We suggest a simple approach for studying the quasi-bound fermion states induced by one-dimensional potentials in graphene. Detailed calculations have been performed for symmetric double barrier…
Some Quantum Measurements with Three Outcomes Can Reveal Nonclassicality where All Two-Outcome Measurements Fail to Do So.
Using quantum steering as a nonclassical phenomenon, it is shown that there are instances where the results of all two-outcome measurements can be explained in a classical manner, while theresults of some three- outcome measurements cannot.
Conclusive Experimental Demonstration of One-Way Einstein-Podolsky-Rosen Steering.
This work presents the first experimental demonstration of one-way steering free of significant limiting assumptions, using a new sufficient condition for nonsteerability and using a novel source of extremely high-quality photonic Werner states.
Mean-field theory for the inverse Ising problem at low temperatures.
It is shown how clustering spin configurations can approximate these thermodynamic states and how mean-field methods applied to thermodynamics states allow an efficient reconstruction of Ising models also at low temperatures.