scholarly journals Experimentally Accessible Lower Bounds for Genuine Multipartite Entanglement and Coherence Measures

2020 ◽  
Vol 13 (5) ◽  
Author(s):  
Yue Dai ◽  
Yuli Dong ◽  
Zhenyu Xu ◽  
Wenlong You ◽  
Chengjie Zhang ◽  
...  
Keyword(s):  
Lower Bounds ◽  
Multipartite Entanglement ◽  
Genuine Multipartite Entanglement

scholarly journals Heuristic for estimation of multiqubit genuine multipartite entanglement

2015 ◽  
Vol 13 (03) ◽  
pp. 1550023 ◽  
Author(s):  
Paulo E. M. F. Mendonça ◽  
Marcelo A. Marchiolli ◽  
Gerard J. Milburn
Keyword(s):  
Lower Bound ◽  
Density Matrix ◽  
Lower Bounds ◽  
Multipartite Entanglement ◽  
Zero Temperature ◽  
Mixed States ◽  
X State ◽  
Computational Basis ◽  
Genuine Multipartite Entanglement

For every N-qubit density matrix written in the computational basis, an associated "X-density matrix" can be obtained by vanishing all entries out of the main- and anti-diagonals. It is very simple to compute the genuine multipartite (GM) concurrence of this associated N-qubit X-state, which, moreover, lower bounds the GM-concurrence of the original (non-X) state. In this paper, we rely on these facts to introduce and benchmark a heuristic for estimating the GM-concurrence of an arbitrary multiqubit mixed state. By explicitly considering two classes of mixed states, we illustrate that our estimates are usually very close to the standard lower bound on the GM-concurrence, being significantly easier to compute. In addition, while evaluating the performance of our proposed heuristic, we provide the first characterization of GM-entanglement in the steady states of the driven Dicke model at zero temperature.

scholarly journals Measure of genuine multipartite entanglement with computable lower bounds

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
Zhi-Hao Ma ◽  
Zhi-Hua Chen ◽  
Jing-Ling Chen ◽  
Christoph Spengler ◽  
Andreas Gabriel ◽  
...  
Keyword(s):  
Lower Bounds ◽  
Multipartite Entanglement ◽  
Genuine Multipartite Entanglement

scholarly journals Improved lower bounds on genuine-multipartite-entanglement concurrence

2012 ◽  
Vol 85 (6) ◽  
Author(s):  
Zhi-Hua Chen ◽  
Zhi-Hao Ma ◽  
Jing-Ling Chen ◽  
Simone Severini
Keyword(s):  
Lower Bounds ◽  
Multipartite Entanglement ◽  
Genuine Multipartite Entanglement

scholarly journals Genuine-multipartite entanglement criteria based on positive maps

2017 ◽  
Vol 58 (8) ◽  
pp. 082201 ◽  
Author(s):  
Fabien Clivaz ◽  
Marcus Huber ◽  
Ludovico Lami ◽  
Gláucia Murta
Keyword(s):  
Multipartite Entanglement ◽  
Positive Maps ◽  
Genuine Multipartite Entanglement

scholarly journals Construction of genuinely entangled subspacesand the associated bounds on entanglement measures for mixed states

2021 ◽  
Author(s):  
Konstantin Antipin
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Lower Bounds ◽  
Quantum Information Processing ◽  
Multipartite Entanglement ◽  
Quantum Channels ◽  
Valuable Resource ◽  
Mixed States ◽  
Entanglement Measures ◽  
Pure States

Abstract Genuine entanglement is the strongest form of multipartite entanglement. Genuinely entangled pure states contain entanglement in every bipartition and as such can be regarded as a valuable resource in the protocols of quantum information processing. A recent direction of research is the construction of genuinely entangled subspaces — the class of subspaces consisting entirely of genuinely entangled pure states. In this paper we present methods of construction of such subspaces including those of maximal possible dimension. The approach is based on the composition of bipartite entangled subspaces and quantum channels of certain types. The examples include maximal subspaces for systems of three qubits, four qubits, three qutrits. We also provide lower bounds on two entanglement measures for mixed states, the concurrence and the convex-roof extended negativity, which are directly connected with the projection on genuinely entangled subspaces.

scholarly journals Converting quantum coherence to genuine multipartite entanglement and nonlocality

2019 ◽  
Vol 100 (2) ◽  
Author(s):  
Ya Xi ◽  
Tinggui Zhang ◽  
Zhu-Jun Zheng ◽  
Xianqing Li-Jost ◽  
Shao-Ming Fei
Keyword(s):  
Quantum Coherence ◽  
Multipartite Entanglement ◽  
Genuine Multipartite Entanglement
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