Quantifying entanglement resources
C Eltschka, J Siewert - Journal of Physics A: Mathematical and …, 2014 - iopscience.iop.org
We present an overview of the quantitative theory of single-copy entanglement in finite-
dimensional quantum systems. In particular we emphasize the point of view that different …
dimensional quantum systems. In particular we emphasize the point of view that different …
Multipartite entanglement measures
S Szalay - Physical Review A, 2015 - APS
The main concern of this paper is how to define proper measures of multipartite
entanglement for mixed quantum states. Since the structure of partial separability and …
entanglement for mixed quantum states. Since the structure of partial separability and …
Gradient flows for optimization in quantum information and quantum dynamics: foundations and applications
T Schulte-Herbrüggen, SJ Glaser, G Dirr… - Reviews in …, 2010 - World Scientific
Many challenges in quantum information and quantum control root in constrained
optimization problems on finite-dimensional quantum systems. The constraints often arise …
optimization problems on finite-dimensional quantum systems. The constraints often arise …
Quantifying genuine tripartite entanglement by resha** the state
Although genuine multipartite entanglement (GME), as one quantum resource, is
indispensable in quantum information processing, most of the existing measures cannot …
indispensable in quantum information processing, most of the existing measures cannot …
Roofs and convexity
A Uhlmann - Entropy, 2010 - mdpi.com
Convex roof extensions are widely used to create entanglement measures in quantum
information theory. The aim of the article is to present some tools which could be helpful for …
information theory. The aim of the article is to present some tools which could be helpful for …
Parametrized entanglement monotone
Entanglement concurrence has been widely used for featuring entanglement in quantum
experiments. As an entanglement monotone it is related to specific quantum Tsallis entropy …
experiments. As an entanglement monotone it is related to specific quantum Tsallis entropy …
Three-tangle for mixtures of generalized GHZ and generalized W states
We give a complete solution for the three-tangle of mixed three-qubit states composed of a
generalized Greenberger–Horne–Zeilinger (GHZ) state, a| 000⟩+ b| 111⟩, and a …
generalized Greenberger–Horne–Zeilinger (GHZ) state, a| 000⟩+ b| 111⟩, and a …
Complementary relation between tripartite entanglement and the maximum steering inequality violation
TZ Dai, Y Fan, L Qiu - Physical Review A, 2022 - APS
We investigate the relation between tripartite entanglement of the three-qubit system and the
maximum steering inequality violation of the reduced two-qubit states. Firstly, it is found that …
maximum steering inequality violation of the reduced two-qubit states. Firstly, it is found that …
Quantifying tripartite entanglement of three-qubit generalized Werner states
J Siewert, C Eltschka - Physical review letters, 2012 - APS
Multipartite entanglement is a key concept in quantum mechanics for which, despite the
experimental progress in entangling three or more quantum devices, there is still no general …
experimental progress in entangling three or more quantum devices, there is still no general …
Three-tangle for rank-three mixed states: Mixture of Greenberger-Horne-Zeilinger, , and flipped- states
E Jung, MR Hwang, DK Park, JW Son - Physical Review A—Atomic, Molecular …, 2009 - APS
Three-tangle for a rank-3 mixture composed of Greenberger-Horne-Zeilinger, W, and flipped-
W states is analytically calculated. The optimal decompositions in the full range of parameter …
W states is analytically calculated. The optimal decompositions in the full range of parameter …