Abstract: Methods, systems, and apparatus for a bi-directional quantum annealing approach to Markov random field networks for machine learning in image analysis. In one aspect, a method includes obtaining training data comprising features extracted from a first set of images; training a deep quantum restricted Boltzmann machine (QRBM) comprising multiple layers using the training data, the training comprising layer-wise training of the multiple layers, wherein training each layer of the multiple layers comprises evaluating a restricted Boltzmann machine (RBM) probability distribution using bi-directional quantum annealing; and validating the trained deep QRBM using test data comprising features extracted from a second set of images.

Abstract: Methods, systems, and apparatus for obtaining solutions to train and driver recovery problems using quantum computation. In one aspect, a method includes receiving data representing a train and driver recovery problem, wherein the train and driver recovery problem comprises a task of recovering from a disruption to a planned train and driver schedule; generating, based on the data representing the train and driver recovery problem, a quadratic unconstrained binary optimization (QUBO) formulation of the train and driver recovery problem, wherein the QUBO formulation excludes variables that relax constraints on driver duties; obtaining data representing a solution to the train and driver recovery problem from a quantum computing resource, wherein the data representing the solution to the train and driver recovery problem comprises an adjusted train and driver schedule; and initiating an action based on the obtained data representing a solution to the train and driver recovery problem.

Abstract: Methods, systems, and apparatus for generating intensity modulated radiation therapy treatment plans.

Abstract: Methods, systems, and apparatus for improving exchange systems. In one aspect, a method includes receiving data representing an exchange problem; determining, from the received data, an integer programming formulation of the exchange problem; mapping the integer programming formulation of the exchange problem to a quadratic unconstrained binary optimization (QUBO) formulation of the exchange problem; obtaining data representing a solution to the exchange problem from a quantum computing resource; and initiating an action based on the obtained data representing a solution to the exchange problem.

Abstract: Methods, systems, and apparatus for improving exchange systems. In one aspect, a method includes receiving data representing an exchange problem; determining, from the received data, an integer programming formulation of the exchange problem; mapping the integer programming formulation of the exchange problem to a quadratic unconstrained binary optimization (QUBO) formulation of the exchange problem; obtaining data representing a solution to the exchange problem from a quantum computing resource; and initiating an action based on the obtained data representing a solution to the exchange problem.

Abstract: The present invention is a method and composition for controlling the viscosity of latex compositions that include fly ash. The composition is an aqueous dispersion comprising water, at least one polymer latex, from about 50 to about 600 parts by weight fly ash per 100 parts by weight dry polymer, and a viscosity stabilizing composition that preferably comprises at least one borate compound. The method includes adding a viscosity stabilizing composition to an aqueous polymer latex composition that includes fly ash. The viscosity stabilizing composition can be used to produce a stirred viscosity of the aqueous dispersion 7 days after mixing that is less than 30% greater than the viscosity of the aqueous composition immediately after mixing.

Abstract: The present invention is a method and composition for controlling the viscosity of latex compositions that include fly ash. The composition is an aqueous dispersion comprising water, at least one polymer latex, from about 50 to about 600 parts by weight fly ash per 100 parts by weight dry polymer, and a viscosity stabilizing composition that preferably comprises at least one borate compound. The method includes adding a viscosity stabilizing composition to an aqueous polymer latex composition that includes fly ash. The viscosity stabilizing composition can be used to produce a stirred viscosity of the aqueous dispersion 7 days after mixing that is less than 30% greater than the viscosity of the aqueous composition immediately after mixing.