Abstract: Systems and methods are disclosed that map quantum circuits to physical qubits of a quantum computer. Techniques are disclosed to generate a graph that characterizes the physical qubits of the quantum computer and to compute the resource requirements of each circuit of the quantum circuits. For each circuit, the graph is searched for a subgraph that matches the resource requirements of the circuit, based on a density matrix. Physical qubits, defined by the matching subgraph, are then allocated to the logical qubits of the circuit.

Abstract: Provided are methods for detecting and treating disease states, including cancer, diabetes, fibrosis, and autoimmune diseases, by detecting increased mechanical modulus, or stiffness, or targeting tissues having increased mechanical modulus, or stiffness. Practicing these methods provides specific and localized detection assays and therapies for these disease states. Provided are mechano-responsive cell systems that can selectively detect and treat cancer metastases by targeting the unique biophysical and mechanical properties in the tumor microenvironment. Provided are methods for making mechano-sensitive CAR T cells by using mechano-responsive promoter logic. Provided are blood tests using engineered stem cells that express reporters after the cells home to a specific niche and secrete the reporter into the blood, which can be then be detected with a blood test.

Abstract: In alternative embodiments, the invention provides high throughput, multiplexed systems or methods for detecting a biological, a physiological or a pathological maker, or a single molecule or a single cell using a droplet microfluidics system integrated with use of a sensor or a sensing system, an aptamer, or a DNAzyme. In alternative embodiments, the sensor or sensing system comprises a nucleic acid based, an antibody based, an enzyme based or a chemical based sensor or sensing system. In alternative embodiments, the invention provides methods for detecting a biological, a physiological or a pathological marker, or a single molecule or a single cell using a droplet system integrated with rapid and sensitive fluorescence detection systems including, for example, a 3D Particle Detector. In alternative embodiments, the invention provides systems comprising Integrated Comprehensive Droplet Digitial Detection (IC 3D).

Abstract: A device and method for spanning a gap between adjacent surfaces is provided. The device includes a pin or pin plate rotatably connected to a cover plate, preferably using a ball and socket joint. The pin or pin plate, connected to the cover plate, can be inserted into the gap and the cover plate can be rotated to engage the adjacent surfaces, thereby covering the gap.

Abstract: A protective lug cap assembly for protection of a lug of a friction brake disc comprises a lug cap, and a load bearing fastening device. The disc has a periphery, with a plurality of circumferentially spaced slots, separating a plurality of circumferentially spaced lugs. The slots are separated by a distance, and disposed for engagement by a spline of a torque device. Each of the slots have two generally radially extending wall portions, wherein each wall portion has a top, a bottom, and opposing sides, and a bottom surface extending between and interconnecting the wall portion bottoms. The lug cap has a lug cap face, wherein the lug cap covers one of the slot wall portions and extends circumferentially away from the slot on the slot wall top and the slot wall opposing sides, covering a portion of the lug. The lug cap face is a portion of the lug cap which covers the slot wall portion.