Nonlinear evolution and signaling
Jakub Rembieliński, Paweł Caban
Abstract
This paper proposes a general rule that allows to distinguish acceptable and non-acceptable nonlinear quantum evolutions. Convex quasi-linear evolutions are free from problems with superluminal signaling. The explicit model of nonlinear but convex quasi-linear evolution of a qubit is constructed.
Topics & Concepts
Nonlinear systemSuperluminal motionRegular polygonMathematicsQuantumQubitConvex optimizationStatistical physicsComputer sciencePhysicsControl theory (sociology)Applied mathematicsTopology (electrical circuits)Convex combinationMathematical optimizationStability (learning theory)Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum Computing Algorithms and Architecture