Caustics bounding entanglement wedges

Bounding Polynomial Entanglement Measures for Mixed States

Bounding the entanglement of N qubits with only four measurements

Quantum-mechanical systems can be used for real-world applications of significant importance, including quantum information processing [1,2], quantum cryptography [3], and quantum metrology [4]. Many of these applications require entanglement between more than two parties; see, e.g., [1,2]. Such systems also allow us to probe the transition from quantum to classical behaviors in increasingly co...

Stylized Caustics: Progressive Rendering of Animated Caustics

In recent years, much work was devoted to the design of light editing methods such as relighting and light path editing. So far, little work addressed the target-based manipulation and animation of caustics, for instance to a differently-shaped caustic, text or an image. The aim of this work is the animation of caustics by blending towards a given target irradiance distribution. This enables an...

106: Caustics

As early as 1927, legislation in the United States governing the packaging of lyeand acidcontaining products mandated that warning labels be placed on these products. In response to the recognition that caustic exposures were more frequent in children, the Federal Hazardous Substances Act and Poison Prevention Packaging Act were passed in 1970; these acts mandated that all caustics with a conce...

Centerpoint Theorems for Wedges

The Centerpoint Theorem states that, for any set S of n points in R, there exists a point p in R such that every closed halfspace containing p contains at least dn/(d+ 1)e points of S. We consider generalizations of the Centerpoint Theorem in which halfspaces are replaced with wedges (cones) of angle α. In R, we give bounds that are tight for all values of α and give an O(n) time algorithm to f...