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 …

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 …

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 …

Quantifying genuine tripartite entanglement by resha** the state

DD Dong, LJ Li, XK Song, L Ye, D Wang - Physical Review A, 2024 - APS
Although genuine multipartite entanglement (GME), as one quantum resource, is
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 …

Parametrized entanglement monotone

X Yang, MX Luo, YH Yang, SM Fei - Physical Review A, 2021 - APS
Entanglement concurrence has been widely used for featuring entanglement in quantum
experiments. As an entanglement monotone it is related to specific quantum Tsallis entropy …

Three-tangle for mixtures of generalized GHZ and generalized W states

C Eltschka, A Osterloh, J Siewert… - New Journal of …, 2008 - iopscience.iop.org
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 …

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 …

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 …

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 …