Quantifying Dynamical Coherence with Dynamical Entanglement
Thomas Theurer, Saipriya Satyajit, Martin B. Plenio
Abstract
Coherent superposition and entanglement are two fundamental aspects of nonclassicality. Here we provide a quantitative connection between the two on the level of operations by showing that the dynamical coherence of an operation upper bounds the dynamical entanglement that can be generated from it with the help of additional incoherent operations. In case a particular choice of monotones based on the relative entropy is used for the quantification of these dynamical resources, this bound can be achieved. In addition, we show that an analog to the entanglement potential exists on the level of operations and serves as a valid quantifier for dynamical coherence.
Topics & Concepts
Quantum entanglementCoherence (philosophical gambling strategy)Superposition principleStatistical physicsPhysicsUpper and lower boundsQuantum mechanicsDynamical systems theoryEntropy (arrow of time)QuantumComputer scienceMathematicsMathematical analysisQuantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum Computing Algorithms and Architecture