21,645 research outputs found
Ordered Statistics Vertex Extraction and Tracing Algorithm (OSVETA)
We propose an algorithm for identifying vertices from three dimensional (3D)
meshes that are most important for a geometric shape creation. Extracting such
a set of vertices from a 3D mesh is important in applications such as digital
watermarking, but also as a component of optimization and triangulation. In the
first step, the Ordered Statistics Vertex Extraction and Tracing Algorithm
(OSVETA) estimates precisely the local curvature, and most important
topological features of mesh geometry. Using the vertex geometric importance
ranking, the algorithm traces and extracts a vector of vertices, ordered by
decreasing index of importance.Comment: Accepted for publishing and Copyright transfered to Advances in
Electrical and Computer Engineering, November 23th 201
Strengthening weak measurements of qubit out-of-time-order correlators
For systems of controllable qubits, we provide a method for experimentally
obtaining a useful class of multitime correlators using sequential generalized
measurements of arbitrary strength. Specifically, if a correlator can be
expressed as an average of nested (anti)commutators of operators that square to
the identity, then that correlator can be determined exactly from the average
of a measurement sequence. As a relevant example, we provide quantum circuits
for measuring multiqubit out-of-time-order correlators using optimized
control-Z or ZX-90 two-qubit gates common in superconducting transmon
implementations.Comment: 12 pages, 6 figures, published versio
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