Strong entanglement criterion involving momentum weak values
arXiv:1810.08296 · doi:10.1016/j.physleta.2018.11.053
Abstract
In recent years weak values have been used to explore interesting quantum features in novel ways. In particular, the real part of the weak value of the momentum operator has been widely studied, mainly in connection with (nonlocal) Bohmian trajectories. Here we focus on the imaginary part and its role in relation with the entanglement of a bipartite system. We establish an entanglement criterion based on weak momentum correlations, that allows to discern whether the entanglement is encoded in the amplitude and/or in the phase of the wave function. Our results throw light on the physical role of the real and imaginary parts of the weak values, and stress the relevance of the latter in the multi-particle scenario
References in corpus (15)
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Colloquium: Understanding Quantum Weak Values: Basics and Applications
- Entangling macroscopic oscillators exploiting radiation pressure
- Inseparability criteria for bipartite quantum states
- Grounding Bohmian Mechanics in Weak Values and Bayesianism
- Inseparability inequalities for higher-order moments for bipartite systems
- The significance of the imaginary part of the weak value
- Entropic Entanglement Criteria for Continuous Variables
- Proposal to demonstrate the non-locality of Bohmian mechanics with entangled photons
- Observing trajectories with weak measurements in quantum systems in the semiclassical regime
- Robust weak-measurement protocol for Bohmian velocities
- Uncertainty Relations for coarse-grained measurements: an overview
- Weak values of a quantum observable and the cross-Wigner distribution
- Weak Measurement and its Experimental Realisation