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Showing papers by "William G. Macready published in 2015"


Patent
27 Mar 2015
TL;DR: In this article, the Ising model penalty function is used to find quantum binary optimization problems and associated gap values employing a variety of techniques, and the penalty gap is defined as the gap separating a set of feasible solutions to the constraint from a set that are infeasible.
Abstract: Methods and systems represent constraint as an Ising model penalty function and a penalty gap associated therewith, the penalty gap separating a set of feasible solutions to the constraint from a set of infeasible solutions to the constraint; and determines the Ising model penalty function subject to the bounds on the programmable parameters imposed by the hardware limitations of the second processor, where the penalty gap exceeds a predetermined threshold greater than zero. Such may be employed to find quantum binary optimization problems and associated gap values employing a variety of techniques.

22 citations


Patent
01 Apr 2015
TL;DR: In this article, a sampling device may be summarized as including updating a set of samples to include the sample from the probability distribution, and returning the set of sampled samples to the sampling device.
Abstract: The systems, devices, articles, and methods generally relate to sampling from an available probability distribution The samples maybe used to create a desirable probability distribution, for instance for use in computing values used in computational techniques including: Importance Sampling and Markov chain Monte Carlo systems An analog processor may operate as a sample generator, for example by: programming the analog processor with a configuration of the number of programmable parameters for the analog processor, which corresponds to a probability distribution over qubits of the analog processor, evolving the analog processor, and reading out states for the qubits The states for the qubits in the plurality of qubits correspond to a sample from the probability distribution Operation of the sampling device may be summarized as including updating a set of samples to include the sample from the probability distribution, and returning the set of samples

17 citations