The Loschmidt echo, a method for probing reversibility in quantum systems, is used conjunction with simulated annealing to provide scalable and flexible approach optimizing qubit assignment on near-term hardware.

3) to predict and understand the characteristics of active and passive time reversal methods in shallow ocean waters. Compared to the first two, the third goal is a secondary priority that stems from the legacy of more than a decade of prior work on acoustic time reversal. It is mentioned here because the author of this report does respond to the continuing technical inquiries and collaboration...

In this paper, we prove that there exists a unique, bounded continuous weak solution to the Dirichlet boundary value problem for a general class of second-order elliptic operators with singular coefficients, which does not necessarily have the maximum principle. Our method is probabilistic. The time reversal of symmetric Markov processes and the theory of Dirichlet forms play a crucial role in ...

When time reversal is broken the viscosity tensor can have a non vanishing odd part. In two dimensions, and only then, such odd viscosity is compatible with isotropy. Allowing for odd viscosity leads to a generalization of the wave and Navier-Stokes equations. Elementary features of odd viscosity are examined by considering solutions of these equations for hypothetical fluids where the stress i...