scholarly journals Dvoretzky's theorem and the complexity of entanglement detection

2017 ◽  
pp. 1-20 ◽  
Author(s):  
Stanislaw Szarek ◽  
Guillaume Aubrun
Keyword(s):  
Entanglement Detection ◽  
Dvoretzky’S Theorem

scholarly journals Experimental test of the Greenberger–Horne–Zeilinger-type paradoxes in and beyond graph states

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Zheng-Hao Liu ◽  
Jie Zhou ◽  
Hui-Xian Meng ◽  
Mu Yang ◽  
Qiang Li ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Success Probability ◽  
Quantum Foundations ◽  
Mixed States ◽  
Graph States ◽  
Hardy Type ◽  
Realistic Description ◽  
Entanglement Detection ◽  
Quantum Paradoxes

AbstractThe Greenberger–Horne–Zeilinger (GHZ) paradox is an exquisite no-go theorem that shows the sharp contradiction between classical theory and quantum mechanics by ruling out any local realistic description of quantum theory. The investigation of GHZ-type paradoxes has been carried out in a variety of systems and led to fruitful discoveries. However, its range of applicability still remains unknown and a unified construction is yet to be discovered. In this work, we present a unified construction of GHZ-type paradoxes for graph states, and show that the existence of GHZ-type paradox is not limited to graph states. The results have important applications in quantum state verification for graph states, entanglement detection, and construction of GHZ-type steering paradox for mixed states. We perform a photonic experiment to test the GHZ-type paradoxes via measuring the success probability of their corresponding perfect Hardy-type paradoxes, and demonstrate the proposed applications. Our work deepens the comprehension of quantum paradoxes in quantum foundations, and may have applications in a broad spectrum of quantum information tasks.

scholarly journals On Uncertainty Relations and Entanglement Detection with Mutually Unbiased Measurements

2015 ◽  
Vol 22 (01) ◽  
pp. 1550005 ◽  
Author(s):  
Alexey E. Rastegin
Keyword(s):  
The State ◽  
Uncertainty Relations ◽  
Trade Off ◽  
Entropic Uncertainty Relations ◽  
Finite Dimensional ◽  
State Dependent ◽  
Entanglement Detection

We formulate some properties of a set of several mutually unbiased measurements. These properties are used for deriving entropic uncertainty relations. Applications of mutually unbiased measurements in entanglement detection are also revisited. First, we estimate from above the sum of the indices of coincidence for several mutually unbiased measurements. Further, we derive entropic uncertainty relations in terms of the Rényi and Tsallis entropies. Both the state-dependent and state-independent formulations are obtained. Using the two sets of local mutually unbiased measurements, a method of entanglement detection in bipartite finite-dimensional systems may be realized. A certain trade-off between a sensitivity of the scheme and its experimental complexity is discussed.

Multipartite d-level photon cluster states and practical entanglement detection through witness operators

2021 ◽  
Author(s):  
Stefania Sciara ◽  
Christian Reimer ◽  
Piotr Roztocki ◽  
David J. Moss ◽  
Lucia Caspani ◽  
...  
Keyword(s):  
Cluster States ◽  
Entanglement Detection

scholarly journals Entanglement detection via tighter local uncertainty relations

2010 ◽  
Vol 81 (1) ◽  
Author(s):  
Cheng-Jie Zhang ◽  
Hyunchul Nha ◽  
Yong-Sheng Zhang ◽  
Guang-Can Guo
Keyword(s):  
Uncertainty Relations ◽  
Local Uncertainty ◽  
Entanglement Detection

scholarly journals Entanglement detection with scrambled data

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
Timo Simnacher ◽  
Nikolai Wyderka ◽  
René Schwonnek ◽  
Otfried Gühne
Keyword(s):  
Entanglement Detection
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