Abstract: A user interface (UI), data structures and algorithms facilitate programming, analyzing, debugging, embedding, and/or modifying problems that are embedded or to be embedded on an analog processor (e.g., quantum processor), increasing computational efficiency and/or accuracy of problem solutions. The UI provides graph representations (e.g., source graph, target graph and correspondence therebetween) with nodes and edges which may map to hardware components (e.g., qubits, couplers) of the analog processor. Characteristics of solutions are advantageously represented spatially associated (e.g., overlaid or nested) with characteristics of a problem. Characteristics (e.g., bias state) may be represented by color, pattern, values, icons. Issues (e.g., broken chains) may be detected and alerts provided.

Abstract: A cutting edge attachment including a blade retainer, springs, and a blade is provided. The blade retainer includes a front plate, a back plate, and bushings insertable through holes defined in the front plate and the back plate. The blade includes elongated openings for receiving the bushings, a top edge having notches for receiving springs, and a bottom edge. The blade retainer is configured to secure the blade to an adapter plate using fasteners inserted through the bushings, the elongated openings of the blade, and holes defined in the adapter plate. The springs are disposed between the notches and a top portion of the blade retainer and configured to bias the blade toward the road surface. The blade is configured to move vertically as the bushings travel within the elongated openings when an upward force is applied to the blade.

Abstract: A cutting edge attachment including a cover retaining plate and a cutting edge is provided. The cover retaining plate includes through-hole bushings extending outward for receiving a corresponding number of fasteners to mount the cutting edge to an adapter plate. The cutting edge includes elongated openings for receiving the bushings, a top edge having notches for receiving springs, and a bottom edge. The cover retaining plate is configured to secure the cutting edge to the adapter plate using fasteners inserted through the bushings, the elongated openings of the cutting edge, and holes defined in the adapter plate. The springs are disposed between the notches and a top edge extension of the cover retaining plate and configured to compress in the vertical direction. The cutting edge is configured to move vertically as the bushings travel within the elongated openings when an upward force is applied to the cutting edge.