Generalized robustness of entanglement

By M. Steiner. 2003

157 citations recorded by the source corpus.

The robustness of entanglement results of Vidal and Tarrach [Phys. Rev. A 59, 141 (1999)] considered the problem whereby an entangled state is mixed with a separable state so that the overall state becomes nonentangled. In general, it is known that there are also cases when entangled states are mixed with other entangled states and where the sum is separable. In this paper, we treat a more general case where entangled states can be mixed with any states so that the resulting mixture is unentangled. It is found that entangled pure states for this generalized case have the same robustness as the restricted case of Vidal and Tarrach.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/356bb73807a5229711bda3173e0121747522c73d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Entanglement detection (2008, background): “One can study variations of thismeasure, by allowing σ to be an arbitrary state (the generalized robustness Rg(%) [284,285]) or by fixing it to be the maximally mixed state (the random robustness Rg(%) [283]).”
Geometry of Quantum States: Index (2007, background): “A generalisation of this quantity was proposed in [858].”
Many-Body Quantum Magic (2020, result): “It is worth noting that the theory of magic is a particularly interesting one where these three types of measures are all non-trivially defined and inequivalent at the same time, in contrast to many other important resource theories (for example, in coherence theory, LR is not even finite [56], and ”
Experimental verification of an indefinite causal order (2016, background): “The quantity −Tr(SW ) is an analogue of the so-called ‘generalized robustness of entanglement’ [20], which quantifies the resistance of the entanglement to noise.”